Abstract
In earlier work, the effect of α′2 curvature corrections on the NS5-brane responsible for the decay of anti-D3-branes in the set-up of Kachru, Pearson, and Verlinde (KPV) was considered. We extend this analysis to include all known α′2 corrections to the action of an abelian fivebrane which involve not just curvature but also gauge fields and flux. We compute the value of these terms at the tip of the Klebanov-Strassler throat to obtain the α′2 corrected potential for the NS5-brane of KPV. The resulting potential provides a novel uplifting mechanism where one can obtain metastable vacua with an arbitrarily small positive uplifting potential by fine-tuning α′ corrections against the tree-level potential. This mechanism works for small warped throats, both in terms of size and contribution to the D3-tadpole, thereby sidestepping the issues associated with a standard deep warped throat uplift which are deadly in KKLT and, as we explicitly check, severely constraining in the Large Volume Scenario.
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S. Kachru, J. Pearson and H.L. Verlinde, Brane / flux annihilation and the string dual of a nonsupersymmetric field theory, JHEP 06 (2002) 021 [hep-th/0112197] [INSPIRE].
I.R. Klebanov and M.J. Strassler, Supergravity and a confining gauge theory: Duality cascades and chi SB resolution of naked singularities, JHEP 08 (2000) 052 [hep-th/0007191] [INSPIRE].
U.H. Danielsson and T. Van Riet, What if string theory has no de Sitter vacua?, Int. J. Mod. Phys. D 27 (2018) 1830007 [arXiv:1804.01120] [INSPIRE].
G. Obied, H. Ooguri, L. Spodyneiko and C. Vafa, De Sitter Space and the Swampland, arXiv:1806.08362 [INSPIRE].
S. Sethi, Supersymmetry Breaking by Fluxes, JHEP 10 (2018) 022 [arXiv:1709.03554] [INSPIRE].
F.F. Gautason, V. Van Hemelryck and T. Van Riet, The Tension between 10D Supergravity and dS Uplifts, Fortsch. Phys. 67 (2019) 1800091 [arXiv:1810.08518] [INSPIRE].
D. Lüst, E. Palti and C. Vafa, AdS and the Swampland, Phys. Lett. B 797 (2019) 134867 [arXiv:1906.05225] [INSPIRE].
S. Lüst, C. Vafa, M. Wiesner and K. Xu, Holography and the KKLT scenario, JHEP 10 (2022) 188 [arXiv:2204.07171] [INSPIRE].
N. Cribiori and G. Dall’Agata, Weak gravity versus scale separation, JHEP 06 (2022) 006 [arXiv:2203.05559] [INSPIRE].
M. Montero, M. Rocek and C. Vafa, Pure supersymmetric AdS and the Swampland, JHEP 01 (2023) 094 [arXiv:2212.01697] [INSPIRE].
V. Balasubramanian, P. Berglund, J.P. Conlon and F. Quevedo, Systematics of moduli stabilisation in Calabi-Yau flux compactifications, JHEP 03 (2005) 007 [hep-th/0502058] [INSPIRE].
J.P. Conlon, F. Quevedo and K. Suruliz, Large-volume flux compactifications: Moduli spectrum and D3/D7 soft supersymmetry breaking, JHEP 08 (2005) 007 [hep-th/0505076] [INSPIRE].
B. Freivogel and M. Lippert, Evidence for a bound on the lifetime of de Sitter space, JHEP 12 (2008) 096 [arXiv:0807.1104] [INSPIRE].
F. Carta, J. Moritz and A. Westphal, Gaugino condensation and small uplifts in KKLT, JHEP 08 (2019) 141 [arXiv:1902.01412] [INSPIRE].
X. Gao, A. Hebecker and D. Junghans, Control issues of KKLT, Fortsch. Phys. 68 (2020) 2000089 [arXiv:2009.03914] [INSPIRE].
D. Junghans, LVS de Sitter vacua are probably in the swampland, Nucl. Phys. B 990 (2023) 116179 [arXiv:2201.03572] [INSPIRE].
X. Gao, A. Hebecker, S. Schreyer and G. Venken, The LVS parametric tadpole constraint, JHEP 07 (2022) 056 [arXiv:2202.04087] [INSPIRE].
D. Junghans, Topological constraints in the LARGE-volume scenario, JHEP 08 (2022) 226 [arXiv:2205.02856] [INSPIRE].
A. Hebecker, S. Schreyer and G. Venken, Curvature corrections to KPV: do we need deep throats?, JHEP 10 (2022) 166 [arXiv:2208.02826] [INSPIRE].
C.P. Bachas, P. Bain and M.B. Green, Curvature terms in D-brane actions and their M theory origin, JHEP 05 (1999) 011 [hep-th/9903210] [INSPIRE].
D. Junghans and G. Shiu, Brane curvature corrections to the 𝒩 = 1 type II/F-theory effective action, JHEP 03 (2015) 107 [arXiv:1407.0019] [INSPIRE].
C. Crinò, F. Quevedo, A. Schachner and R. Valandro, A database of Calabi-Yau orientifolds and the size of D3-tadpoles, JHEP 08 (2022) 050 [arXiv:2204.13115] [INSPIRE].
F.F. Gautason, M. Schillo and T. Van Riet, Is inflation from unwinding fluxes IIB?, JHEP 03 (2017) 037 [arXiv:1611.07037] [INSPIRE].
M.R. Garousi, T-duality of Curvature terms in D-brane actions, JHEP 02 (2010) 002 [arXiv:0911.0255] [INSPIRE].
M.R. Garousi, Ramond-Ramond field strength couplings on D-branes, JHEP 03 (2010) 126 [arXiv:1002.0903] [INSPIRE].
M.R. Garousi, T-duality of anomalous Chern-Simons couplings, Nucl. Phys. B 852 (2011) 320 [arXiv:1007.2118] [INSPIRE].
M.R. Garousi and M. Mir, Towards extending the Chern-Simons couplings at order O(αJ2), JHEP 05 (2011) 066 [arXiv:1102.5510] [INSPIRE].
D. Robbins and Z. Wang, Higher Derivative Corrections to O-plane Actions: NS-NS Sector, JHEP 05 (2014) 072 [arXiv:1401.4180] [INSPIRE].
M.R. Garousi, T-duality of O-plane action at order α′2, Phys. Lett. B 747 (2015) 53 [arXiv:1412.8131] [INSPIRE].
A. Jalali and M.R. Garousi, D-brane action at order α’2, Phys. Rev. D 92 (2015) 106004 [arXiv:1506.02130] [INSPIRE].
M.R. Garousi, Off-shell D-brane action at order α′2 in flat spacetime, Phys. Rev. D 93 (2016) 066014 [arXiv:1511.01676] [INSPIRE].
A. Jalali and M.R. Garousi, Higher derivative corrections to the Wess-Zumino action, Phys. Rev. D 94 (2016) 086002 [arXiv:1606.02082] [INSPIRE].
K. Babaei Velni and A. Jalali, Higher derivative corrections to DBI action at α′2 order, Phys. Rev. D 95 (2017) 086010 [arXiv:1612.05898] [INSPIRE].
M.R. Garousi and S. Karimi, Couplings of order six in the gauge field strength and the second fundamental form on Dp-brane at order α′2, Phys. Rev. D 106 (2022) 066016 [arXiv:2207.09834] [INSPIRE].
M. Mashhadi and M.R. Garousi, O-plane couplings at order α′2: one R-R field strength, JHEP 06 (2020) 171 [arXiv:2003.05359] [INSPIRE].
X. Gao, A. Hebecker, S. Schreyer and G. Venken, Loops, local corrections and warping in the LVS and other type IIB models, JHEP 09 (2022) 091 [arXiv:2204.06009] [INSPIRE].
I. Bena, E. Dudas, M. Graña and S. Lüst, Uplifting Runaways, Fortsch. Phys. 67 (2019) 1800100 [arXiv:1809.06861] [INSPIRE].
R. Blumenhagen, D. Kläwer and L. Schlechter, Swampland Variations on a Theme by KKLT, JHEP 05 (2019) 152 [arXiv:1902.07724] [INSPIRE].
I. Bena, A. Buchel and S. Lüst, Throat destabilization (for profit and for fun), arXiv:1910.08094 [INSPIRE].
L. Randall, The Boundaries of KKLT, Fortsch. Phys. 68 (2020) 1900105 [arXiv:1912.06693] [INSPIRE].
M. Scalisi, P. Soler, V. Van Hemelryck and T. Van Riet, Conifold dynamics and axion monodromies, JHEP 10 (2020) 133 [arXiv:2007.15391] [INSPIRE].
S. Lüst and L. Randall, Effective Theory of Warped Compactifications and the Implications for KKLT, Fortsch. Phys. 70 (2022) 2200103 [arXiv:2206.04708] [INSPIRE].
S. Kachru, L. McAllister and R. Sundrum, Sequestering in String Theory, JHEP 10 (2007) 013 [hep-th/0703105] [INSPIRE].
M. Berg, D. Marsh, L. McAllister and E. Pajer, Sequestering in String Compactifications, JHEP 06 (2011) 134 [arXiv:1012.1858] [INSPIRE].
D. Cohen-Maldonado, J. Diaz, T. van Riet and B. Vercnocke, Observations on fluxes near anti-branes, JHEP 01 (2016) 126 [arXiv:1507.01022] [INSPIRE].
I. Bena et al., Anti D3-branes and gaugino condensation, arXiv:2211.14381 [INSPIRE].
F. Carta and J. Moritz, Resolving spacetime singularities in flux compactifications & KKLT, JHEP 08 (2021) 093 [arXiv:2101.05281] [INSPIRE].
C.P. Herzog, I.R. Klebanov and P. Ouyang, Remarks on the warped deformed conifold, in the proceedings of the Modern Trends in String Theory: 2nd Lisbon School on g Theory Superstrings, (2001) [hep-th/0108101] [INSPIRE].
N. Nguyen, Comments on the stability of the KPV state, JHEP 11 (2020) 055 [arXiv:1912.04646] [INSPIRE].
K. Becker, M. Becker, M. Haack and J. Louis, Supersymmetry breaking and alpha-prime corrections to flux induced potentials, JHEP 06 (2002) 060 [hep-th/0204254] [INSPIRE].
D. Ciupke, J. Louis and A. Westphal, Higher-Derivative Supergravity and Moduli Stabilization, JHEP 10 (2015) 094 [arXiv:1505.03092] [INSPIRE].
F. Denef and M.R. Douglas, Distributions of flux vacua, JHEP 05 (2004) 072 [hep-th/0404116] [INSPIRE].
G. von Gersdorff and A. Hebecker, Kahler corrections for the volume modulus of flux compactifications, Phys. Lett. B 624 (2005) 270 [hep-th/0507131] [INSPIRE].
M. Berg, M. Haack and B. Kors, String loop corrections to Kahler potentials in orientifolds, JHEP 11 (2005) 030 [hep-th/0508043] [INSPIRE].
M. Berg, M. Haack and B. Kors, On volume stabilization by quantum corrections, Phys. Rev. Lett. 96 (2006) 021601 [hep-th/0508171] [INSPIRE].
M. Berg, M. Haack and E. Pajer, Jumping Through Loops: On Soft Terms from Large Volume Compactifications, JHEP 09 (2007) 031 [arXiv:0704.0737] [INSPIRE].
M. Cicoli, J.P. Conlon and F. Quevedo, Systematics of String Loop Corrections in Type IIB Calabi-Yau Flux Compactifications, JHEP 01 (2008) 052 [arXiv:0708.1873] [INSPIRE].
M. Cicoli, J.P. Conlon and F. Quevedo, General Analysis of LARGE Volume Scenarios with String Loop Moduli Stabilisation, JHEP 10 (2008) 105 [arXiv:0805.1029] [INSPIRE].
Z. Chacko, M.A. Luty and E. Ponton, Massive higher dimensional gauge fields as messengers of supersymmetry breaking, JHEP 07 (2000) 036 [hep-ph/9909248] [INSPIRE].
H.-C. Cheng, K.T. Matchev and M. Schmaltz, Radiative corrections to Kaluza-Klein masses, Phys. Rev. D 66 (2002) 036005 [hep-ph/0204342] [INSPIRE].
I. Antoniadis, S. Ferrara, R. Minasian and K.S. Narain, R4 couplings in M and type II theories on Calabi-Yau spaces, Nucl. Phys. B 507 (1997) 571 [hep-th/9707013] [INSPIRE].
R.C. Myers, Dielectric branes, JHEP 12 (1999) 022 [hep-th/9910053] [INSPIRE].
A.A. Tseytlin, Selfduality of Born-Infeld action and Dirichlet three-brane of type IIB superstring theory, Nucl. Phys. B 469 (1996) 51 [hep-th/9602064] [INSPIRE].
M.B. Green and M. Gutperle, Comments on three-branes, Phys. Lett. B 377 (1996) 28 [hep-th/9602077] [INSPIRE].
T. Kimura and I. Oda, Duality of superD-brane actions in general Type II supergravity background, Int. J. Mod. Phys. A 16 (2001) 503 [hep-th/9904019] [INSPIRE].
M.B. Green and M. Gutperle, D instanton induced interactions on a D3-brane, JHEP 02 (2000) 014 [hep-th/0002011] [INSPIRE].
A. Basu, Constraining the D3-brane effective action, JHEP 09 (2008) 124 [arXiv:0808.2060] [INSPIRE].
M.R. Garousi, S-duality of D-brane action at order O(α′2), Phys. Lett. B 701 (2011) 465 [arXiv:1103.3121] [INSPIRE].
M.B. Green and M. Gutperle, Effects of D instantons, Nucl. Phys. B 498 (1997) 195 [hep-th/9701093] [INSPIRE].
Acknowledgments
We thank Arthur Hebecker for comments on a draft of this manuscript and valuable discussion. We thank Mohammad Garousi and Daniel Junghans for valuable discussion. We thank an anonymous referee for valuable comments on an earlier draft of this paper. This work was supported by the Graduiertenkolleg ‘Particle physics beyond the Standard Model’ (GRK 1940).
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Schreyer, S., Venken, G. α′ corrections to KPV: an uplifting story. J. High Energ. Phys. 2023, 235 (2023). https://doi.org/10.1007/JHEP07(2023)235
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DOI: https://doi.org/10.1007/JHEP07(2023)235