Abstract
In this paper we construct a new Type IIB background with an AdS 4 factor that preserves \( \mathcal{N}=4 \) Supersymmetry. This solution is obtained using a non-Abelian T-duality transformation on the Type IIA reduction of the AdS 4 × S 7 background. We interpret our configuration as a patch of a more general background with localised sources, dual to the renormalisation fixed point of a \( {T}_{\rho}^{\widehat{\rho}}\left(\mathrm{S}\mathrm{U}(N)\right) \) quiver field theory. This relates explicitly the AdS 4 geometry to a D3-D5-NS5 brane intersection, illuminating what seems to be a more general phenomenon, relating AdS p+1 backgrounds generated by non-Abelian T-duality to Dp-D(p + 2)-NS5 branes intersections.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
C. Montonen and D.I. Olive, Magnetic Monopoles as Gauge Particles?, Phys. Lett. B 72 (1977) 117 [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 [Erratum ibid. B 430 (1994) 485] [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].
N. Seiberg, Electric-magnetic duality in supersymmetric non-Abelian gauge theories, Nucl. Phys. B 435 (1995) 129 [hep-th/9411149] [INSPIRE].
A. Sen, An Introduction to nonperturbative string theory, in proceedings of A Newton Institute Euroconference on Duality and Supersymmetric Theories, Cambridge, England, April 7–18 1997, D.I. Olive and P.C. West eds., Cambridge University Press, Cambridge U.K. (1999), pp. 297–413 [hep-th/9802051] [INSPIRE].
N.A. Obers and B. Pioline, U duality and M-theory, Phys. Rept. 318 (1999) 113 [hep-th/9809039] [INSPIRE].
J.M. Maldacena, The Large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [INSPIRE].
S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [INSPIRE].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
H.A. Kramers and G.H. Wannier, Statistics of the two-dimensional ferromagnet. Part I, Phys. Rev. 60 (1941) 252 [INSPIRE].
S.R. Coleman, The Quantum sine-Gordon Equation as the Massive Thirring Model, Phys. Rev. D 11 (1975) 2088 [INSPIRE].
S. Mandelstam, Soliton Operators for the Quantized sine-Gordon Equation, Phys. Rev. D 11 (1975) 3026 [INSPIRE].
T.H. Buscher, Path Integral Derivation of Quantum Duality in Nonlinear σ-models, Phys. Lett. B 201 (1988) 466 [INSPIRE].
T.H. Buscher, A Symmetry of the String Background Field Equations, Phys. Lett. B 194 (1987) 59 [INSPIRE].
M. Roček and E.P. Verlinde, Duality, quotients and currents, Nucl. Phys. B 373 (1992) 630 [hep-th/9110053] [INSPIRE].
X.C. de la Ossa and F. Quevedo, Duality symmetries from non-Abelian isometries in string theory, Nucl. Phys. B 403 (1993) 377 [hep-th/9210021] [INSPIRE].
K. Sfetsos and D.C. Thompson, On non-abelian T-dual geometries with Ramond fluxes, Nucl. Phys. B 846 (2011) 21 [arXiv:1012.1320] [INSPIRE].
Y. Lozano, E. Ó Colgáin, K. Sfetsos and D.C. Thompson, Non-abelian T-duality, Ramond Fields and Coset Geometries, JHEP 06 (2011) 106 [arXiv:1104.5196] [INSPIRE].
G. Itsios, Y. Lozano, E. Ó Colgáin and K. Sfetsos, Non-Abelian T-duality and consistent truncations in type-II supergravity, JHEP 08 (2012) 132 [arXiv:1205.2274] [INSPIRE].
G. Itsios, C. Núñez, K. Sfetsos and D.C. Thompson, Non-Abelian T-duality and the AdS/CFT correspondence: new N = 1 backgrounds, Nucl. Phys. B 873 (2013) 1 [arXiv:1301.6755] [INSPIRE].
Y. Lozano, E. Ó Colgáin, D. Rodríguez-Gómez and K. Sfetsos, Supersymmetric AdS6 via T Duality, Phys. Rev. Lett. 110 (2013) 231601 [arXiv:1212.1043] [INSPIRE].
G. Itsios, C. Núñez, K. Sfetsos and D.C. Thompson, On Non-Abelian T-duality and new N = 1 backgrounds, Phys. Lett. B 721 (2013) 342 [arXiv:1212.4840] [INSPIRE].
J. Jeong, O. Kelekci and E. Ó Colgáin, An alternative IIB embedding of F(4) gauged supergravity, JHEP 05 (2013) 079 [arXiv:1302.2105] [INSPIRE].
G. Itsios, Y. Lozano, E. Ó Colgáin and K. Sfetsos, Non-Abelian T-duality and consistent truncations in type-II supergravity, JHEP 08 (2012) 132 [arXiv:1205.2274] [INSPIRE].
A. Barranco, J. Gaillard, N.T. Macpherson, C. Núñez and D.C. Thompson, G-structures and Flavouring non-Abelian T-duality, JHEP 08 (2013) 018 [arXiv:1305.7229] [INSPIRE].
N.T. Macpherson, Non-Abelian T-duality, G 2 -structure rotation and holographic duals of N = 1 Chern-Simons theories, JHEP 11 (2013) 137 [arXiv:1310.1609] [INSPIRE].
Y. Lozano, E. Ó Colgáin and D. Rodríguez-Gómez, Hints of 5d Fixed Point Theories from Non-Abelian T-duality, JHEP 05 (2014) 009 [arXiv:1311.4842] [INSPIRE].
J. Gaillard, N.T. Macpherson, C. Núñez and D.C. Thompson, Dualising the Baryonic Branch: Dynamic SU(2) and confining backgrounds in IIA, Nucl. Phys. B 884 (2014) 696 [arXiv:1312.4945] [INSPIRE].
D. Elander, A.F. Faedo, C. Hoyos, D. Mateos and M. Piai, Multiscale confining dynamics from holographic RG flows, JHEP 05 (2014) 003 [arXiv:1312.7160] [INSPIRE].
S. Zacarías, Semiclassical strings and Non-Abelian T-duality, Phys. Lett. B 737 (2014) 90 [arXiv:1401.7618] [INSPIRE].
E. Caceres, N.T. Macpherson and C. Núñez, New Type IIB Backgrounds and Aspects of Their Field Theory Duals, JHEP 08 (2014) 107 [arXiv:1402.3294] [INSPIRE].
P.M. Pradhan, Oscillating Strings and Non-Abelian T-dual Klebanov-Witten Background, Phys. Rev. D 90 (2014) 046003 [arXiv:1406.2152] [INSPIRE].
K. Sfetsos and D.C. Thompson, New \( \mathcal{N}=1 \) supersymmetric AdS 5 backgrounds in Type IIA supergravity, JHEP 11 (2014) 006 [arXiv:1408.6545] [INSPIRE].
Y. Lozano and N.T. Macpherson, A new AdS 4 /CFT 3 dual with extended SUSY and a spectral flow, JHEP 11 (2014) 115 [arXiv:1408.0912] [INSPIRE].
Ö. Kelekci, Y. Lozano, N.T. Macpherson and E. Ó Colgáin, Supersymmetry and non-Abelian T-duality in type-II supergravity, Class. Quant. Grav. 32 (2015) 035014 [arXiv:1409.7406] [INSPIRE].
N.T. Macpherson, C. Núñez, L.A. Pando Zayas, V.G.J. Rodgers and C.A. Whiting, Type IIB supergravity solutions with AdS 5 from Abelian and non-Abelian T dualities, JHEP 02 (2015) 040 [arXiv:1410.2650] [INSPIRE].
K.S. Kooner and S. Zacarías, Non-Abelian T-Dualizing the Resolved Conifold with Regular and Fractional D3-branes, JHEP 08 (2015) 143 [arXiv:1411.7433] [INSPIRE].
T.R. Araujo and H. Nastase, \( \mathcal{N}=1 \) SUSY backgrounds with an AdS factor from non-Abelian T duality, Phys. Rev. D 91 (2015) 126015 [arXiv:1503.00553] [INSPIRE].
Y. Lozano, N.T. Macpherson, J. Montero and E. Ó Colgáin, New AdS 3 × S 2 T-duals with \( \mathcal{N}=\left(0,4\right) \) supersymmetry, JHEP 08 (2015) 121 [arXiv:1507.02659] [INSPIRE].
Y. Lozano, N.T. Macpherson and J. Montero, A \( \mathcal{N}=2 \) supersymmetric AdS 4 solution in M-theory with purely magnetic flux, JHEP 10 (2015) 004 [arXiv:1507.02660] [INSPIRE].
T.R. Araujo and H. Nastase, Non-Abelian T-duality for nonrelativistic holographic duals, JHEP 11 (2015) 203 [arXiv:1508.06568] [INSPIRE].
L.A. Pando Zayas, V.G.J. Rodgers and C.A. Whiting, Supergravity solutions with AdS 4 from non-Abelian T-dualities, JHEP 02 (2016) 061 [arXiv:1511.05991] [INSPIRE].
N.T. Macpherson, C. Núñez, D.C. Thompson and S. Zacarías, Holographic Flows in non-Abelian T-dual Geometries, JHEP 11 (2015) 212 [arXiv:1509.04286] [INSPIRE].
Y. Lozano and C. Núñez, Field theory aspects of non-Abelian T-duality and \( \mathcal{N}=2 \) linear quivers, JHEP 05 (2016) 107 [arXiv:1603.04440] [INSPIRE].
F. Apruzzi, M. Fazzi, A. Passias, D. Rosa and A. Tomasiello, AdS 6 solutions of type-II supergravity, JHEP 11 (2014) 099 [Erratum ibid. 05 (2015) 012] [arXiv:1406.0852] [INSPIRE].
H. Kim, N. Kim and M. Suh, Supersymmetric AdS 6 Solutions of Type IIB Supergravity, Eur. Phys. J. C 75 (2015) 484 [arXiv:1506.05480] [INSPIRE].
Ö. Kelekci, Y. Lozano, J. Montero, E. Ó Colgáin and M. Park, Large superconformal near-horizons from M-theory, Phys. Rev. D 93 (2016) 086010 [arXiv:1602.02802] [INSPIRE].
E. D’Hoker, M. Gutperle, A. Karch and C.F. Uhlemann, Warped AdS 6 × S 2 in Type IIB supergravity I: Local solutions, JHEP 08 (2016) 046 [arXiv:1606.01254] [INSPIRE].
C. Couzens, Supersymmetric AdS 5 solutions of type IIB supergravity without D3 branes, arXiv:1609.05039 [INSPIRE].
E. Alvarez, L. Álvarez-Gaumé, J.L.F. Barbon and Y. Lozano, Some global aspects of duality in string theory, Nucl. Phys. B 415 (1994) 71 [hep-th/9309039] [INSPIRE].
E. Alvarez, L. Álvarez-Gaumé and Y. Lozano, On non-Abelian duality, Nucl. Phys. B 424 (1994) 155 [hep-th/9403155] [INSPIRE].
Y. Lozano, Non-Abelian duality and canonical transformations, Phys. Lett. B 355 (1995) 165 [hep-th/9503045] [INSPIRE].
A. Giveon and M. Roček, On non-Abelian duality, Nucl. Phys. B 421 (1994) 173 [hep-th/9308154] [INSPIRE].
S. Elitzur, A. Giveon, E. Rabinovici, A. Schwimmer and G. Veneziano, Remarks on non-Abelian duality, Nucl. Phys. B 435 (1995) 147 [hep-th/9409011] [INSPIRE].
C. Klimčík and P. Ševera, Dual non-Abelian duality and the Drinfeld double, Phys. Lett. B 351 (1995)455 [hep-th/9502122] [INSPIRE].
D. Gaiotto and A. Tomasiello, Holography for (1, 0) theories in six dimensions, JHEP 12 (2014) 003 [arXiv:1404.0711] [INSPIRE].
S. Cremonesi and A. Tomasiello, 6d holographic anomaly match as a continuum limit, JHEP 05 (2016) 031 [arXiv:1512.02225] [INSPIRE].
B. Assel, C. Bachas, J. Estes and J. Gomis, Holographic Duals of D = 3 \( \mathcal{N}=4 \) Superconformal Field Theories, JHEP 08 (2011) 087 [arXiv:1106.4253] [INSPIRE].
B. Assel, C. Bachas, J. Estes and J. Gomis, IIB Duals of D = 3 \( \mathcal{N}=4 \) Circular Quivers, JHEP 12 (2012) 044 [arXiv:1210.2590] [INSPIRE].
O. Aharony, L. Berdichevsky, M. Berkooz and I. Shamir, Near-horizon solutions for D3-branes ending on 5-branes, Phys. Rev. D 84 (2011) 126003 [arXiv:1106.1870] [INSPIRE].
E. D’Hoker, J. Estes and M. Gutperle, Exact half-BPS Type IIB interface solutions. II. Flux solutions and multi-Janus, JHEP 06 (2007) 022 [arXiv:0705.0024] [INSPIRE].
E. D’Hoker, J. Estes and M. Gutperle, Exact half-BPS Type IIB interface solutions. I. Local solution and supersymmetric Janus, JHEP 06 (2007) 021 [arXiv:0705.0022] [INSPIRE].
D. Gaiotto and E. Witten, S-duality of Boundary Conditions In N = 4 Super Yang-Mills Theory, Adv. Theor. Math. Phys. 13 (2009) 721 [arXiv:0807.3720] [INSPIRE].
A. Hanany and E. Witten, Type IIB superstrings, BPS monopoles and three-dimensional gauge dynamics, Nucl. Phys. B 492 (1997) 152 [hep-th/9611230] [INSPIRE].
D. Gaiotto and J.M. Maldacena, The Gravity duals of N = 2 superconformal field theories, JHEP 10 (2012) 189 [arXiv:0904.4466] [INSPIRE].
R.A. Reid-Edwards and B. Stefanski Jr., On Type IIA geometries dual to N = 2 SCFTs, Nucl. Phys. B 849 (2011) 549 [arXiv:1011.0216] [INSPIRE].
O. Aharony, L. Berdichevsky and M. Berkooz, 4d N = 2 superconformal linear quivers with type IIA duals, JHEP 08 (2012) 131 [arXiv:1206.5916] [INSPIRE].
S.F. Hassan, T duality, space-time spinors and RR fields in curved backgrounds, Nucl. Phys. B 568 (2000) 145 [hep-th/9907152] [INSPIRE].
B. Assel, J. Estes and M. Yamazaki, Large-N Free Energy of 3d N = 4 SCFTs and AdS 4 /CFT 3, JHEP 09 (2012) 074 [arXiv:1206.2920] [INSPIRE].
S. Benvenuti and S. Pasquetti, 3D-partition functions on the sphere: exact evaluation and mirror symmetry, JHEP 05 (2012) 099 [arXiv:1105.2551] [INSPIRE].
T. Nishioka, Y. Tachikawa and M. Yamazaki, 3d Partition Function as Overlap of Wavefunctions, JHEP 08 (2011) 003 [arXiv:1105.4390] [INSPIRE].
B. Assel and J. Gomis, Mirror Symmetry And Loop Operators, JHEP 11 (2015) 055 [arXiv:1506.01718] [INSPIRE].
S. Cremonesi, A. Hanany, N. Mekareeya and A. Zaffaroni, T σ ρ (G) theories and their Hilbert series, JHEP 01 (2015) 150 [arXiv:1410.1548] [INSPIRE].
S. Cremonesi, A. Hanany and A. Zaffaroni, Monopole operators and Hilbert series of Coulomb branches of 3d \( \mathcal{N}=4 \) gauge theories, JHEP 01 (2014) 005 [arXiv:1309.2657] [INSPIRE].
A. Hanany and N. Mekareeya, Complete Intersection Moduli Spaces in N = 4 Gauge Theories in Three Dimensions, JHEP 01 (2012) 079 [arXiv:1110.6203] [INSPIRE].
B. Hoare and A.A. Tseytlin, Homogeneous Yang-Baxter deformations as non-abelian duals of the AdS 5 σ-model, arXiv:1609.02550 [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1609.09061
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Lozano, Y., Macpherson, N.T., Montero, J. et al. Three-dimensional \( \mathcal{N}=4 \) linear quivers and non-Abelian T-duals. J. High Energ. Phys. 2016, 133 (2016). https://doi.org/10.1007/JHEP11(2016)133
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP11(2016)133