Abstract
We study the quasinormal modes (QNM) of the charged C-metric, which physically stands for a charged accelerating black hole, with the help of Nekrasov’s partition function of 4d \( \mathcal{N} \) = 2 superconformal field theories (SCFTs). The QNM in the charged C-metric are classified into three types: the photon-surface modes, the accelerating modes and the near-extremal modes, and it is curious how the single quantization condition proposed in [1] can reproduce all the different families. We show that the connection formula encoded in terms of Nekrasov’s partition function captures all these families of QNM numerically and recovers the asymptotic behavior of the accelerating and the near-extremal modes analytically. Using the connection formulae of different 4d \( \mathcal{N} \) = 2 SCFTs, one can solve both the radial and the angular parts of the scalar perturbation equation respectively. The same algorithm can be applied to the de Sitter (dS) black holes to calculate both the dS modes and the photon-sphere modes.
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G. Aminov, A. Grassi and Y. Hatsuda, Black Hole Quasinormal Modes and Seiberg-Witten Theory, Annales Henri Poincare 23 (2022) 1951 [arXiv:2006.06111] [INSPIRE].
LIGO Scientific and Virgo collaborations, Observation of Gravitational Waves from a Binary Black Hole Merger, Phys. Rev. Lett. 116 (2016) 061102 [arXiv:1602.03837] [INSPIRE].
W.-R. Hu and Y.-L. Wu, The Taiji Program in Space for gravitational wave physics and the nature of gravity, Natl. Sci. Rev. 4 (2017) 685 [INSPIRE].
W.-H. Ruan, Z.-K. Guo, R.-G. Cai and Y.-Z. Zhang, Taiji program: gravitational-wave sources, Int. J. Mod. Phys. A 35 (2020) 2050075 [arXiv:1807.09495] [INSPIRE].
TianQin collaboration, TianQin: a space-borne gravitational wave detector, Class. Quant. Grav. 33 (2016) 035010 [arXiv:1512.02076] [INSPIRE].
LISA collaboration, Laser Interferometer Space Antenna, arXiv:1702.00786 [INSPIRE].
C.V. Vishveshwara, Scattering of Gravitational Radiation by a Schwarzschild Black-hole, Nature 227 (1970) 936 [INSPIRE].
K.D. Kokkotas and B.G. Schmidt, Quasinormal modes of stars and black holes, Living Rev. Rel. 2 (1999) 2 [gr-qc/9909058] [INSPIRE].
E. Berti, V. Cardoso and A.O. Starinets, Quasinormal modes of black holes and black branes, Class. Quant. Grav. 26 (2009) 163001 [arXiv:0905.2975] [INSPIRE].
R.A. Konoplya and A. Zhidenko, Quasinormal modes of black holes: from astrophysics to string theory, Rev. Mod. Phys. 83 (2011) 793 [arXiv:1102.4014] [INSPIRE].
G.T. Horowitz and V.E. Hubeny, Quasinormal modes of AdS black holes and the approach to thermal equilibrium, Phys. Rev. D 62 (2000) 024027 [hep-th/9909056] [INSPIRE].
R.A. Konoplya, Quasinormal behavior of the d-dimensional Schwarzschild black hole and higher order WKB approach, Phys. Rev. D 68 (2003) 024018 [gr-qc/0303052] [INSPIRE].
J.P. Cavalcante and B.G. Carneiro da Cunha, Isomonodromy Method and Black Holes Quasinormal Modes: numerical results and extremal limit analysis, M.Sc. thesis, Universidade Federal de Pernambuco, Brazil (2023) [arXiv:2307.16209] [INSPIRE].
Y. Hatsuda, Quasinormal modes of black holes and Borel summation, Phys. Rev. D 101 (2020) 024008 [arXiv:1906.07232] [INSPIRE].
D.S. Eniceicu and M. Reece, Quasinormal modes of charged fields in Reissner-Nordström backgrounds by Borel-Padé summation of Bender-Wu series, Phys. Rev. D 102 (2020) 044015 [arXiv:1912.05553] [INSPIRE].
C. Gundlach, R.H. Price and J. Pullin, Late time behavior of stellar collapse and explosions: 1. Linearized perturbations, Phys. Rev. D 49 (1994) 883 [gr-qc/9307009] [INSPIRE].
A. Jansen, Overdamped modes in Schwarzschild-de Sitter and a Mathematica package for the numerical computation of quasinormal modes, Eur. Phys. J. Plus 132 (2017) 546 [arXiv:1709.09178] [INSPIRE].
N.A. Nekrasov and S.L. Shatashvili, Quantization of Integrable Systems and Four Dimensional Gauge Theories, in the proceedings of the 16th International Congress on Mathematical Physics, Prague, Czechia, August 03–08 (2009), p. 265–289 [https://doi.org/10.1142/9789814304634_0015] [arXiv:0908.4052] [INSPIRE].
N.A. Nekrasov, Seiberg-Witten prepotential from instanton counting, Adv. Theor. Math. Phys. 7 (2003) 831 [hep-th/0206161] [INSPIRE].
N. Nekrasov and A. Okounkov, Seiberg-Witten theory and random partitions, Prog. Math. 244 (2006) 525 [hep-th/0306238] [INSPIRE].
Y. Hatsuda, Quasinormal modes of Kerr-de Sitter black holes via the Heun function, Class. Quant. Grav. 38 (2020) 025015 [arXiv:2006.08957] [INSPIRE].
Y. Hatsuda, An alternative to the Teukolsky equation, Gen. Rel. Grav. 53 (2021) 93 [arXiv:2007.07906] [INSPIRE].
G. Bonelli, C. Iossa, D.P. Lichtig and A. Tanzini, Exact solution of Kerr black hole perturbations via CFT2 and instanton counting: greybody factor, quasinormal modes, and Love numbers, Phys. Rev. D 105 (2022) 044047 [arXiv:2105.04483] [INSPIRE].
B.C. da Cunha and J.P. Cavalcante, Teukolsky master equation and Painlevé transcendents: numerics and extremal limit, Phys. Rev. D 104 (2021) 084051 [arXiv:2105.08790] [INSPIRE].
M. Bianchi, D. Consoli, A. Grillo and J.F. Morales, More on the SW-QNM correspondence, JHEP 01 (2022) 024 [arXiv:2109.09804] [INSPIRE].
H. Nakajima and W. Lin, New Chandrasekhar transformation in Kerr spacetime, Phys. Rev. D 105 (2022) 064036 [arXiv:2111.05857] [INSPIRE].
Y. Hatsuda and M. Kimura, Spectral Problems for Quasinormal Modes of Black Holes, Universe 7 (2021) 476 [arXiv:2111.15197] [INSPIRE].
D. Fioravanti and D. Gregori, A new method for exact results on Quasinormal Modes of Black Holes, arXiv:2112.11434 [INSPIRE].
G. Bonelli, C. Iossa, D. Panea Lichtig and A. Tanzini, Irregular Liouville Correlators and Connection Formulae for Heun Functions, Commun. Math. Phys. 397 (2023) 635 [arXiv:2201.04491] [INSPIRE].
M. Bianchi and G. Di Russo, Turning rotating D-branes and black holes inside out their photon-halo, Phys. Rev. D 106 (2022) 086009 [arXiv:2203.14900] [INSPIRE].
M. Dodelson et al., Holographic thermal correlators from supersymmetric instantons, SciPost Phys. 14 (2023) 116 [arXiv:2206.07720] [INSPIRE].
D. Consoli, F. Fucito, J.F. Morales and R. Poghossian, CFT description of BH’s and ECO’s: QNMs, superradiance, echoes and tidal responses, JHEP 12 (2022) 115 [arXiv:2206.09437] [INSPIRE].
K. Imaizumi, Quasi-normal modes for the D3-branes and Exact WKB analysis, Phys. Lett. B 834 (2022) 137450 [arXiv:2207.09961] [INSPIRE].
D. Fioravanti, D. Gregori and H. Shu, Integrability, susy SU (2) matter gauge theories and black holes, arXiv:2208.14031 [INSPIRE].
O. Lisovyy and A. Naidiuk, Perturbative connection formulas for Heun equations, J. Phys. A 55 (2022) 434005 [arXiv:2208.01604] [INSPIRE].
A. Bhatta and T. Mandal, Exact thermal correlators of holographic CFTs, JHEP 02 (2023) 222 [arXiv:2211.02449] [INSPIRE].
B.C. da Cunha and J.P. Cavalcante, Expansions for semiclassical conformal blocks, arXiv:2211.03551 [INSPIRE].
D. Gregori and D. Fioravanti, Quasinormal modes of black holes from supersymmetric gauge theory and integrability, PoS ICHEP2022 (2022) 422 [INSPIRE].
K. Imaizumi, Exact conditions for quasi-normal modes of extremal M5-branes and exact WKB analysis, Nucl. Phys. B 992 (2023) 116221 [arXiv:2212.04738] [INSPIRE].
M. Bianchi and G. Di Russo, 2-charge circular fuzz-balls and their perturbations, JHEP 08 (2023) 217 [arXiv:2212.07504] [INSPIRE].
D. Fioravanti and D. Gregori, New Developments in \( \mathcal{N} \) = 2 Supersymmetric Gauge Theories: from Integrability to Black Holes, Acta Phys. Polon. Supp. 16 (2023) 31 [INSPIRE].
P.A. Cano, K. Fransen, T. Hertog and S. Maenaut, Universal Teukolsky equations and black hole perturbations in higher-derivative gravity, Phys. Rev. D 108 (2023) 024040 [arXiv:2304.02663] [INSPIRE].
M. Bianchi, C. Di Benedetto, G. Di Russo and G. Sudano, Charge instability of JMaRT geometries, JHEP 09 (2023) 078 [arXiv:2305.00865] [INSPIRE].
F. Fucito, J.F. Morales and R. Poghossian, On irregular states and Argyres-Douglas theories, JHEP 08 (2023) 123 [arXiv:2306.05127] [INSPIRE].
S. Giusto, C. Iossa and R. Russo, The black hole behind the cut, JHEP 10 (2023) 050 [arXiv:2306.15305] [INSPIRE].
G. Aminov et al., Black hole perturbation theory and multiple polylogarithms, JHEP 11 (2023) 059 [arXiv:2307.10141] [INSPIRE].
J. Barragán Amado, K. Kwon and B. Gwak, Absorption cross section in gravity’s rainbow from confluent Heun equation, Class. Quant. Grav. 41 (2024) 035005 [arXiv:2307.12824] [INSPIRE].
Y. Hatsuda and M. Kimura, Perturbative quasinormal mode frequencies, arXiv:2307.16626 [INSPIRE].
A. Bhatta, S. Chakrabortty, T. Mandal and A. Maurya, Holographic thermal correlators for hyperbolic CFTs, JHEP 11 (2023) 156 [arXiv:2308.14704] [INSPIRE].
H. Weyl, Zur Gravitationstheorie, Annalen Phys. 359 (1917) 117 [INSPIRE].
W. Kinnersley and M. Walker, Uniformly accelerating charged mass in general relativity, Phys. Rev. D 2 (1970) 1359 [INSPIRE].
K. Destounis, R.D.B. Fontana and F.C. Mena, Accelerating black holes: quasinormal modes and late-time tails, Phys. Rev. D 102 (2020) 044005 [arXiv:2005.03028] [INSPIRE].
L.F. Alday, D. Gaiotto and Y. Tachikawa, Liouville Correlation Functions from Four-dimensional Gauge Theories, Lett. Math. Phys. 91 (2010) 167 [arXiv:0906.3219] [INSPIRE].
W.H. Press and S.A. Teukolsky, Perturbations of a Rotating Black Hole. II. Dynamical Stability of the Kerr Metric, Astrophys. J. 185 (1973) 649 [INSPIRE].
V. Moncrief, Stability of Reissner-Nordstrom black holes, Phys. Rev. D 10 (1974) 1057 [INSPIRE].
J.P. Cavalcante and B.C. da Cunha, Scalar and Dirac perturbations of the Reissner-Nordström black hole and Painlevé transcendents, Phys. Rev. D 104 (2021) 124040 [arXiv:2109.06929] [INSPIRE].
J. Barragán Amado, B. Carneiro Da Cunha and E. Pallante, Scalar quasinormal modes of Kerr-AdS5, Phys. Rev. D 99 (2019) 105006 [arXiv:1812.08921] [INSPIRE].
J.B. Amado, B. Carneiro da Cunha and E. Pallante, Vector perturbations of Kerr-AdS5 and the Painlevé VI transcendent, JHEP 04 (2020) 155 [arXiv:2002.06108] [INSPIRE].
J.B. Amado, B.C. da Cunha and E. Pallante, Quasinormal modes of scalar fields on small Reissner-Nordström-AdS5 black holes, Phys. Rev. D 105 (2022) 044028 [arXiv:2110.08349] [INSPIRE].
F. Novaes, C. Marinho, M. Lencsés and M. Casals, Kerr-de Sitter Quasinormal Modes via Accessory Parameter Expansion, JHEP 05 (2019) 033 [arXiv:1811.11912] [INSPIRE].
O.J. Tattersall, Kerr-(anti-)de Sitter black holes: perturbations and quasinormal modes in the slow rotation limit, Phys. Rev. D 98 (2018) 104013 [arXiv:1808.10758] [INSPIRE].
V. Cardoso and J.P.S. Lemos, Quasinormal modes of the near extremal Schwarzschild-de Sitter black hole, Phys. Rev. D 67 (2003) 084020 [gr-qc/0301078] [INSPIRE].
V. Cardoso, R. Konoplya and J.P.S. Lemos, Quasinormal frequencies of Schwarzschild black holes in anti-de Sitter space-times: a complete study on the asymptotic behavior, Phys. Rev. D 68 (2003) 044024 [gr-qc/0305037] [INSPIRE].
V. Cardoso et al., Quasinormal modes and Strong Cosmic Censorship, Phys. Rev. Lett. 120 (2018) 031103 [arXiv:1711.10502] [INSPIRE].
H. Lin, K. Saifullah and S.-T. Yau, Accelerating black holes, spin-\( \frac{3}{2} \) fields and C-metric, Mod. Phys. Lett. A 30 (2015) 1550044 [arXiv:1404.7489] [INSPIRE].
D. Kubiznak, Hidden Symmetries of Higher-Dimensional Rotating Black Holes, Ph.D. thesis, University of Alberta, Canada (2008) [arXiv:0809.2452] [INSPIRE].
V.P. Frolov, P. Krtous and D. Kubiznak, Black holes, hidden symmetries, and complete integrability, Living Rev. Rel. 20 (2017) 6 [arXiv:1705.05482] [INSPIRE].
S.-Q. Wu, Separability of massive field equations for spin-0 and spin-1/2 charged particles in the general non-extremal rotating charged black holes in minimal five-dimensional gauged supergravity, Phys. Rev. D 80 (2009) 084009 [arXiv:0906.2049] [INSPIRE].
A. Castro, A. Maloney and A. Strominger, Hidden Conformal Symmetry of the Kerr Black Hole, Phys. Rev. D 82 (2010) 024008 [arXiv:1004.0996] [INSPIRE].
D. Gaiotto, N = 2 dualities, JHEP 08 (2012) 034 [arXiv:0904.2715] [INSPIRE].
N. Seiberg and E. Witten, Electric - magnetic duality, monopole condensation, and confinement in N = 2 supersymmetric Yang-Mills theory, Nucl. Phys. B 426 (1994) 19 [hep-th/9407087] [INSPIRE].
N. Seiberg and E. Witten, Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD, Nucl. Phys. B 431 (1994) 484 [hep-th/9408099] [INSPIRE].
T.-S. Tai, Uniformization, Calogero-Moser/Heun duality and Sutherland/bubbling pants, JHEP 10 (2010) 107 [arXiv:1008.4332] [INSPIRE].
K. Maruyoshi and M. Taki, Deformed Prepotential, Quantum Integrable System and Liouville Field Theory, Nucl. Phys. B 841 (2010) 388 [arXiv:1006.4505] [INSPIRE].
Y. Zenkevich, Nekrasov prepotential with fundamental matter from the quantum spin chain, Phys. Lett. B 701 (2011) 630 [arXiv:1103.4843] [INSPIRE].
Y. Tachikawa, N = 2 supersymmetric dynamics for pedestrians, arXiv:1312.2684 [https://doi.org/10.1007/978-3-319-08822-8] [INSPIRE].
A. Anabalón et al., Holographic Thermodynamics of Accelerating Black Holes, Phys. Rev. D 98 (2018) 104038 [arXiv:1805.02687] [INSPIRE].
A. Boido, J.P. Gauntlett, D. Martelli and J. Sparks, Entropy Functions For Accelerating Black Holes, Phys. Rev. Lett. 130 (2023) 091603 [arXiv:2210.16069] [INSPIRE].
D. Cassani, J.P. Gauntlett, D. Martelli and J. Sparks, Thermodynamics of accelerating and supersymmetric AdS4 black holes, Phys. Rev. D 104 (2021) 086005 [arXiv:2106.05571] [INSPIRE].
G. Arenas-Henriquez, R. Gregory and A. Scoins, On acceleration in three dimensions, JHEP 05 (2022) 063 [arXiv:2202.08823] [INSPIRE].
G. Arenas-Henriquez, A. Cisterna, F. Diaz and R. Gregory, Accelerating Black Holes in 2 + 1 dimensions: holography revisited, JHEP 09 (2023) 122 [arXiv:2308.00613] [INSPIRE].
J.B. Griffiths and J. Podolsky, A new look at the Plebanski-Demianski family of solutions, Int. J. Mod. Phys. D 15 (2006) 335 [gr-qc/0511091] [INSPIRE].
J.B. Griffiths and J. Podolsky, Exact Space-Times in Einstein’s General Relativity, Cambridge University Press, Cambridge (2009) [https://doi.org/10.1017/CBO9780511635397] [INSPIRE].
J.B. Griffiths, P. Krtous and J. Podolsky, Interpreting the C-metric, Class. Quant. Grav. 23 (2006) 6745 [gr-qc/0609056] [INSPIRE].
M. Matone, Instantons and recursion relations in N = 2 SUSY gauge theory, Phys. Lett. B 357 (1995) 342 [hep-th/9506102] [INSPIRE].
A. Grassi, Y. Hatsuda and M. Marino, Topological Strings from Quantum Mechanics, Annales Henri Poincare 17 (2016) 3177 [arXiv:1410.3382] [INSPIRE].
X. Wang, G. Zhang and M.-X. Huang, New Exact Quantization Condition for Toric Calabi-Yau Geometries, Phys. Rev. Lett. 115 (2015) 121601 [arXiv:1505.05360] [INSPIRE].
V. Cardoso, J. Natario and R. Schiappa, Asymptotic quasinormal frequencies for black holes in nonasymptotically flat space-times, J. Math. Phys. 45 (2004) 4698 [hep-th/0403132] [INSPIRE].
A. Davey, O.J.C. Dias, P. Rodgers and J.E. Santos, Strong Cosmic Censorship and eigenvalue repulsions for rotating de Sitter black holes in higher-dimensions, JHEP 07 (2022) 086 [arXiv:2203.13830] [INSPIRE].
R. Dijkgraaf, B. Heidenreich, P. Jefferson and C. Vafa, Negative Branes, Supergroups and the Signature of Spacetime, JHEP 02 (2018) 050 [arXiv:1603.05665] [INSPIRE].
M.M. Sheikh-Jabbari and H. Yavartanoo, EVH Black Holes, AdS3 Throats and EVH/CFT Proposal, JHEP 10 (2011) 013 [arXiv:1107.5705] [INSPIRE].
D.D.K. Chow, M. Cvetic, H. Lu and C.N. Pope, Extremal Black Hole/CFT Correspondence in (Gauged) Supergravities, Phys. Rev. D 79 (2009) 084018 [arXiv:0812.2918] [INSPIRE].
V. Balasubramanian, J. de Boer, V. Jejjala and J. Simon, Entropy of near-extremal black holes in AdS(5), JHEP 05 (2008) 067 [arXiv:0707.3601] [INSPIRE].
G.W. Gibbons, C.N. Pope and S. Solodukhin, Higher Derivative Scalar Quantum Field Theory in Curved Spacetime, Phys. Rev. D 100 (2019) 105008 [arXiv:1907.03791] [INSPIRE].
A.A. Tseytlin, Comments on a 4-derivative scalar theory in 4 dimensions, Theor. Math. Phys. 217 (2023) 1969 [arXiv:2212.10599] [INSPIRE].
J.L. Blázquez-Salcedo et al., Perturbed black holes in Einstein-dilaton-Gauss-Bonnet gravity: stability, ringdown, and gravitational-wave emission, Phys. Rev. D 94 (2016) 104024 [arXiv:1609.01286] [INSPIRE].
J.L. Blázquez-Salcedo, F.S. Khoo and J. Kunz, Quasinormal modes of Einstein-Gauss-Bonnet-dilaton black holes, Phys. Rev. D 96 (2017) 064008 [arXiv:1706.03262] [INSPIRE].
V. Cardoso, M. Kimura, A. Maselli and L. Senatore, Black Holes in an Effective Field Theory Extension of General Relativity, Phys. Rev. Lett. 121 (2018) 251105 [Erratum ibid. 131 (2023) 109903] [arXiv:1808.08962] [INSPIRE].
R. McManus et al., Parametrized black hole quasinormal ringdown. II. Coupled equations and quadratic corrections for nonrotating black holes, Phys. Rev. D 100 (2019) 044061 [arXiv:1906.05155] [INSPIRE].
C. de Rham, J. Francfort and J. Zhang, Black Hole Gravitational Waves in the Effective Field Theory of Gravity, Phys. Rev. D 102 (2020) 024079 [arXiv:2005.13923] [INSPIRE].
N. Ogawa, T. Takayanagi and T. Ugajin, Holographic Fermi Surfaces and Entanglement Entropy, JHEP 01 (2012) 125 [arXiv:1111.1023] [INSPIRE].
X. Dong et al., Aspects of holography for theories with hyperscaling violation, JHEP 06 (2012) 041 [arXiv:1201.1905] [INSPIRE].
E. Shaghoulian, Holographic Entanglement Entropy and Fermi Surfaces, JHEP 05 (2012) 065 [arXiv:1112.2702] [INSPIRE].
K. Copsey and R. Mann, Singularities in Hyperscaling Violating Spacetimes, JHEP 04 (2013) 079 [arXiv:1210.1231] [INSPIRE].
L. Huijse, S. Sachdev and B. Swingle, Hidden Fermi surfaces in compressible states of gauge-gravity duality, Phys. Rev. B 85 (2012) 035121 [arXiv:1112.0573] [INSPIRE].
S. Cremonini and L. Li, Criteria For Superfluid Instabilities of Geometries with Hyperscaling Violation, JHEP 11 (2016) 137 [arXiv:1606.02745] [INSPIRE].
E. Kiritsis and L. Li, Quantum Criticality and DBI Magneto-resistance, J. Phys. A 50 (2017) 115402 [arXiv:1608.02598] [INSPIRE].
T. Kimura and T. Nishinaka, On the Nekrasov partition function of gauged Argyres-Douglas theories, JHEP 01 (2023) 030 [arXiv:2206.10937] [INSPIRE].
T. Nishinaka and T. Uetoko, Argyres-Douglas theories and Liouville Irregular States, JHEP 09 (2019) 104 [arXiv:1905.03795] [INSPIRE].
H. Itoyama, T. Oota and K. Yano, Discrete Painleve system and the double scaling limit of the matrix model for irregular conformal block and gauge theory, Phys. Lett. B 789 (2019) 605 [arXiv:1805.05057] [INSPIRE].
Y. Lei and S.F. Ross, Extending the non-singular hyperscaling violating spacetimes, Class. Quant. Grav. 31 (2014) 035007 [arXiv:1310.5878] [INSPIRE].
E. Kasner, Geometrical theorems on Einstein’s cosmological equations, Am. J. Math. 43 (1921) 217 [INSPIRE].
A.I. Janis, E.T. Newman and J. Winicour, Reality of the Schwarzschild Singularity, Phys. Rev. Lett. 20 (1968) 878 [INSPIRE].
H. Suzuki, E. Takasugi and H. Umetsu, Perturbations of Kerr-de Sitter black hole and Heun’s equations, Prog. Theor. Phys. 100 (1998) 491 [gr-qc/9805064] [INSPIRE].
A.B. Zamolodchikov, Generalized Mathieu equations and Liouville TBA, in Quantum Field Theories in Two Dimensions, vol. 2, World Scientific (2012).
D. Fioravanti and D. Gregori, Integrability and cycles of deformed \( \mathcal{N} \) = 2 gauge theory, Phys. Lett. B 804 (2020) 135376 [arXiv:1908.08030] [INSPIRE].
K. Ito and H. Shu, ODE/IM correspondence and the Argyres-Douglas theory, JHEP 08 (2017) 071 [arXiv:1707.03596] [INSPIRE].
K. Ito, M. Mariño and H. Shu, TBA equations and resurgent Quantum Mechanics, JHEP 01 (2019) 228 [arXiv:1811.04812] [INSPIRE].
K. Ito and H. Shu, TBA equations for the Schrödinger equation with a regular singularity, J. Phys. A 53 (2020) 335201 [arXiv:1910.09406] [INSPIRE].
K. Ito, T. Kondo, K. Kuroda and H. Shu, WKB periods for higher order ODE and TBA equations, JHEP 10 (2021) 167 [arXiv:2104.13680] [INSPIRE].
K. Ito, T. Kondo and H. Shu, Wall-crossing of TBA equations and WKB periods for the third order ODE, Nucl. Phys. B 979 (2022) 115788 [arXiv:2111.11047] [INSPIRE].
D. Gaiotto, G.W. Moore and A. Neitzke, Four-dimensional wall-crossing via three-dimensional field theory, Commun. Math. Phys. 299 (2010) 163 [arXiv:0807.4723] [INSPIRE].
D. Gaiotto, Opers and TBA, arXiv:1403.6137 [INSPIRE].
A. Grassi, J. Gu and M. Mariño, Non-perturbative approaches to the quantum Seiberg-Witten curve, JHEP 07 (2020) 106 [arXiv:1908.07065] [INSPIRE].
A. Grassi, Q. Hao and A. Neitzke, Exact WKB methods in SU (2) Nf = 1, JHEP 01 (2022) 046 [arXiv:2105.03777] [INSPIRE].
J. Caetano and J. Toledo, χ-systems for correlation functions, JHEP 01 (2019) 050 [arXiv:1208.4548] [INSPIRE].
H. Ouyang and H. Shu, TBA-like equations for non-planar scattering amplitude/Wilson lines duality at strong coupling, JHEP 05 (2022) 099 [arXiv:2202.10700] [INSPIRE].
A.S. Losev, A. Marshakov and N.A. Nekrasov, Small instantons, little strings and free fermions, in the proceedings of the From Fields to Strings: circumnavigating Theoretical Physics: a Conference in Tribute to Ian Kogan, (2003), p. 581–621 [hep-th/0302191] [INSPIRE].
Acknowledgments
We would like to thank Xuefeng Feng, Daniele Gregori, Shuanglin Huang, Jun Nian, Hao Ouyang, Xin Wang, Jingjing Yang, Hongbao Zhang, Hao Zhao and many other people for useful discussions. We would like to thank the organizers of the national conference on Gravitation and Relativistic Astrophysics 2023, the satellite workshop of International Congress of Basic Science, Quantum Gravity and Quantum Field Theory, and the 4-th national conference for field theory and string theory to allow us to present the results of this work and we benefited a lot from many inspiring discussions during the above workshops. Y.L. is supported by a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD) and by National Natural Science Foundation of China No.12305081. The work of H.S. is supported in part by the Beijing Postdoctoral Research Foundation. K.Z. (Hong Zhang) is supported by a classified fund of Shanghai city. R.Z. is supported by National Natural Science Foundation of China No. 12105198 and the High-level personnel project of Jiangsu Province (JSSCBS20210709).
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Lei, Y., Shu, H., Zhang, K. et al. Quasinormal modes of C-metric from SCFTs. J. High Energ. Phys. 2024, 140 (2024). https://doi.org/10.1007/JHEP02(2024)140
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DOI: https://doi.org/10.1007/JHEP02(2024)140