Abstract
In this paper we find various new backgrounds in Type IIB, IIA and M-theory with an AdS 3-factor. The solutions are smooth and preserve small amounts of SUSY. These new backgrounds are found by application of non-Abelian T-duality (sometimes combined with T-duality) on the supergravity solution dual to the Klebanov-Witten CFT compactified to two dimensions. The field theory aspects encoded by these backgrounds are studied. We give a detailed account of conserved charges, central charges, entanglement entropy and Wilson loops. Further, we present a possible field theory interpretation for our backgrounds.
Article PDF
Similar content being viewed by others
References
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].
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].
A. Giveon and M. Roček, On non-Abelian duality, Nucl. Phys. B 421 (1994) 173 [hep-th/9308154] [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].
E. Alvarez, L. Álvarez-Gaumé and Y. Lozano, A canonical approach to duality transformations, Phys. Lett. B 336 (1994) 183 [hep-th/9406206] [INSPIRE].
C. Klimčík and P. Ševera, Non-Abelian momentum winding exchange, Phys. Lett. B 383 (1996) 281 [hep-th/9605212] [INSPIRE].
J. Borlaf and Y. Lozano, Aspects of T duality in open strings, Nucl. Phys. B 480 (1996) 239 [hep-th/9607051] [INSPIRE].
F. Quevedo, Duality and global symmetries, Nucl. Phys. Proc. Suppl. 61A (1998) 23 [hep-th/9706210] [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].
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].
H. Lin, O. Lunin and J.M. Maldacena, Bubbling AdS space and 1/2 BPS geometries, JHEP 10 (2004) 025 [hep-th/0409174] [INSPIRE].
D. Gaiotto and J. Maldacena, The gravity duals of N = 2 superconformal field theories, JHEP 10 (2012) 189 [arXiv:0904.4466] [INSPIRE].
D. Gaiotto, N = 2 dualities, JHEP 08 (2012) 034 [arXiv:0904.2715] [INSPIRE].
Y. Tachikawa, N = 2 supersymmetric dynamics for pedestrians, Lect. Notes Phys. 890 (2013) 2014 [arXiv:1312.2684] [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].
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].
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].
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].
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].
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, generalised geometry and holography, J. Phys. Conf. Ser. 490 (2014) 012122 [arXiv:1309.1358] [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].
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].
S. Zacarias, 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].
K.S. Kooner and S. Zacarias, Non-Abelian T-dualizing the resolved conifold with regular and fractional D3-branes, arXiv:1411.7433 [INSPIRE].
I.R. Klebanov and E. Witten, Superconformal field theory on three-branes at a Calabi-Yau singularity, Nucl. Phys. B 536 (1998) 199 [hep-th/9807080] [INSPIRE].
T.R. Araujo and H. Nastase, On \( \mathcal{N}=1 \) SUSY backgrounds with AdS factor from nonabelian T-duality, arXiv:1503.00553 [INSPIRE].
A. Buchel and J.T. Liu, Gauged supergravity from Type IIB string theory on Y p,q manifolds, Nucl. Phys. B 771 (2007) 93 [hep-th/0608002] [INSPIRE].
J.P. Gauntlett, S. Kim, O. Varela and D. Waldram, Consistent supersymmetric Kaluza-Klein truncations with massive modes, JHEP 04 (2009) 102 [arXiv:0901.0676] [INSPIRE].
J.P. Gauntlett and O. Varela, Universal Kaluza-Klein reductions of Type IIB to N = 4 supergravity in five dimensions, JHEP 06 (2010) 081 [arXiv:1003.5642] [INSPIRE].
D. Cassani, G. Dall’Agata and A.F. Faedo, Type IIB supergravity on squashed Sasaki-Einstein manifolds, JHEP 05 (2010) 094 [arXiv:1003.4283] [INSPIRE].
D. Cassani and A.F. Faedo, A supersymmetric consistent truncation for conifold solutions, Nucl. Phys. B 843 (2011) 455 [arXiv:1008.0883] [INSPIRE].
A. Kehagias and J.G. Russo, Hyperbolic spaces in string and M-theory, JHEP 07 (2000) 027 [hep-th/0003281] [INSPIRE].
J.P. Gauntlett, O.A.P. Mac Conamhna, T. Mateos and D. Waldram, Supersymmetric AdS 3 solutions of Type IIB supergravity, Phys. Rev. Lett. 97 (2006) 171601 [hep-th/0606221] [INSPIRE].
A. Donos and J.P. Gauntlett, Flowing from AdS 5 to AdS 3 with T 1,1, JHEP 08 (2014) 006 [arXiv:1404.7133] [INSPIRE].
A. Donos, J.P. Gauntlett and N. Kim, AdS solutions through transgression, JHEP 09 (2008) 021 [arXiv:0807.4375] [INSPIRE].
J.P. Gauntlett, O.A.P. Mac Conamhna, T. Mateos and D. Waldram, AdS spacetimes from wrapped M5 branes, JHEP 11 (2006) 053 [hep-th/0605146] [INSPIRE].
P. Figueras, O.A.P. Mac Conamhna and E. Ó Colgáin, Global geometry of the supersymmetric AdS 3 /CFT 2 correspondence in M-theory, Phys. Rev. D 76 (2007) 046007 [hep-th/0703275] [INSPIRE].
C. Núñez, I.Y. Park, M. Schvellinger and T.A. Tran, Supergravity duals of gauge theories from F(4) gauged supergravity in six-dimensions, JHEP 04 (2001) 025 [hep-th/0103080] [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].
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].
J.M. Maldacena and C. Núñez, Supergravity description of field theories on curved manifolds and a no go theorem, Int. J. Mod. Phys. A 16 (2001) 822 [hep-th/0007018] [INSPIRE].
F. Benini, Y. Tachikawa and B. Wecht, Sicilian gauge theories and N = 1 dualities, JHEP 01 (2010) 088 [arXiv:0909.1327] [INSPIRE].
F. Benini, F. Canoura, S. Cremonesi, C. Núñez and A.V. Ramallo, Backreacting flavors in the Klebanov-Strassler background, JHEP 09 (2007) 109 [arXiv:0706.1238] [INSPIRE].
A.B. Zamolodchikov, Irreversibility of the flux of the renormalization group in a 2D field theory, JETP Lett. 43 (1986) 730 [Pisma Zh. Eksp. Teor. Fiz. 43 (1986) 565] [INSPIRE].
J.L. Cardy, Is there a c theorem in four-dimensions?, Phys. Lett. B 215 (1988) 749 [INSPIRE].
Z. Komargodski and A. Schwimmer, On renormalization group flows in four dimensions, JHEP 12 (2011) 099 [arXiv:1107.3987] [INSPIRE].
E. Barnes, K.A. Intriligator, B. Wecht and J. Wright, Evidence for the strongest version of the 4D a-theorem, via a-maximization along RG flows, Nucl. Phys. B 702 (2004) 131 [hep-th/0408156] [INSPIRE].
J.D. Brown and M. Henneaux, Central charges in the canonical realization of asymptotic symmetries: an example from three-dimensional gravity, Commun. Math. Phys. 104 (1986) 207.
M. Henningson and K. Skenderis, The holographic Weyl anomaly, JHEP 07 (1998) 023 [hep-th/9806087] [INSPIRE].
D.Z. Freedman, S.S. Gubser, K. Pilch and N.P. Warner, Renormalization group flows from holography supersymmetry and a c theorem, Adv. Theor. Math. Phys. 3 (1999) 363 [hep-th/9904017] [INSPIRE].
E. Alvarez and C. Gomez, Geometric holography, the renormalization group and the c theorem, Nucl. Phys. B 541 (1999) 441 [hep-th/9807226] [INSPIRE].
I.R. Klebanov, D. Kutasov and A. Murugan, Entanglement as a probe of confinement, Nucl. Phys. B 796 (2008) 274 [arXiv:0709.2140] [INSPIRE].
S. Gukov, Counting RG flows, arXiv:1503.01474 [INSPIRE].
M. Gutperle and P. Kraus, Higher spin black holes, JHEP 05 (2011) 022 [arXiv:1103.4304] [INSPIRE].
M. Ammon, M. Gutperle, P. Kraus and E. Perlmutter, Spacetime geometry in higher spin gravity, JHEP 10 (2011) 053 [arXiv:1106.4788] [INSPIRE].
S. Datta, J.R. David, M. Ferlaino and S.P. Kumar, Universal correction to higher spin entanglement entropy, Phys. Rev. D 90 (2014) 041903 [arXiv:1405.0015] [INSPIRE].
S. Datta, J.R. David, M. Ferlaino and S.P. Kumar, Higher spin entanglement entropy from CFT, JHEP 06 (2014) 096 [arXiv:1402.0007] [INSPIRE].
S. Ryu and T. Takayanagi, Aspects of holographic entanglement entropy, JHEP 08 (2006) 045 [hep-th/0605073] [INSPIRE].
T. Nishioka and T. Takayanagi, AdS bubbles, entropy and closed string tachyons, JHEP 01 (2007) 090 [hep-th/0611035] [INSPIRE].
Y. Bea, E. Conde, N. Jokela and A.V. Ramallo, Unquenched massive flavors and flows in Chern-Simons matter theories, JHEP 12 (2013) 033 [arXiv:1309.4453] [INSPIRE].
J.M. Maldacena, Wilson loops in large-N field theories, Phys. Rev. Lett. 80 (1998) 4859 [hep-th/9803002] [INSPIRE].
S. Beck, J.B. Gutowski and G. Papadopoulos, Supersymmetry of IIA warped flux AdS and flat backgrounds, arXiv:1501.07620 [INSPIRE].
S.W. Beck, J.B. Gutowski and G. Papadopoulos, Supersymmetry of AdS and flat IIB backgrounds, JHEP 02 (2015) 020 [arXiv:1410.3431] [INSPIRE].
R.C. Myers and A. Singh, Comments on holographic entanglement entropy and RG flows, JHEP 04 (2012) 122 [arXiv:1202.2068] [INSPIRE].
A. Bhattacharyya, S.S. Haque, V. Jejjala, S. Nampuri and A. Véliz-Osorio, Attractive holographic c-functions, JHEP 11 (2014) 138 [arXiv:1407.0469] [INSPIRE].
F. Benini and N. Bobev, Two-dimensional SCFTs from wrapped branes and c-extremization, JHEP 06 (2013) 005 [arXiv:1302.4451] [INSPIRE].
F. Benini and N. Bobev, Exact two-dimensional superconformal R-symmetry and c-extremization, Phys. Rev. Lett. 110 (2013) 061601 [arXiv:1211.4030] [INSPIRE].
P. Karndumri and E. Ó Colgáin, Supergravity dual of c-extremization, Phys. Rev. D 87 (2013) 101902 [arXiv:1302.6532] [INSPIRE].
P. Karndumri and E. Ó. Colgáin, 3D Supergravity from wrapped D3-branes, JHEP 10 (2013) 094 [arXiv:1307.2086] [INSPIRE].
E. Ó. Colgáin, Warped AdS 3 , dS 3 and flows from \( \mathcal{N}=\left(0,2\right) \) SCFTs, arXiv:1501.04355 [INSPIRE].
N. Bobev, K. Pilch and O. Vasilakis, (0, 2) SCFTs from the Leigh-Strassler fixed point, JHEP 06 (2014) 094 [arXiv:1403.7131] [INSPIRE].
D. Kutasov and J. Lin, (0, 2) dynamics from four dimensions, Phys. Rev. D 89 (2014) 085025 [arXiv:1310.6032] [INSPIRE].
A. Gadde, S. Gukov and P. Putrov, Exact solutions of 2D supersymmetric gauge theories, arXiv:1404.5314 [INSPIRE].
L. Martucci, J. Rosseel, D. Van den Bleeken and A. Van Proeyen, Dirac actions for D-branes on backgrounds with fluxes, Class. Quant. Grav. 22 (2005) 2745 [hep-th/0504041] [INSPIRE].
Y. Kosmann, A note on Lie-Lorentz derivatives, Annali Mat. Pura Appl. 91 (1972) 317.
T. Ortín, A note on Lie-Lorentz derivatives, Class. Quant. Grav. 19 (2002) L143 [hep-th/0206159] [INSPIRE].
I.R. Klebanov and M.J. Strassler, Supergravity and a confining gauge theory: duality cascades and χ SB resolution of naked singularities, JHEP 08 (2000) 052 [hep-th/0007191] [INSPIRE].
A. Butti, M. Graña, R. Minasian, M. Petrini and A. Zaffaroni, The baryonic branch of Klebanov-Strassler solution: A supersymmetric family of SU(3) structure backgrounds, JHEP 03 (2005) 069 [hep-th/0412187] [INSPIRE].
J.M. Maldacena and C. Núñez, Towards the large-N limit of pure N = 1 super Yang-Mills, Phys. Rev. Lett. 86 (2001) 588 [hep-th/0008001] [INSPIRE].
J. Maldacena and D. Martelli, The unwarped, resolved, deformed conifold: Fivebranes and the baryonic branch of the Klebanov-Strassler theory, JHEP 01 (2010) 104 [arXiv:0906.0591] [INSPIRE].
E. Caceres, C. Núñez and L.A. Pando-Zayas, Heating up the baryonic branch with U-duality: a unified picture of conifold black holes, JHEP 03 (2011) 054 [arXiv:1101.4123] [INSPIRE].
J. Gaillard, D. Martelli, C. Núñez and I. Papadimitriou, The warped, resolved, deformed conifold gets flavoured, Nucl. Phys. B 843 (2011) 1 [arXiv:1004.4638] [INSPIRE].
D. Elander, J. Gaillard, C. Núñez and M. Piai, Towards multi-scale dynamics on the baryonic branch of Klebanov-Strassler, JHEP 07 (2011) 056 [arXiv:1104.3963] [INSPIRE].
E. Conde, J. Gaillard, C. Núñez, M. Piai and A.V. Ramallo, A tale of two cascades: Higgsing and Seiberg-Duality cascades from Type IIB string theory, JHEP 02 (2012) 145 [arXiv:1112.3350] [INSPIRE].
C. Hoyos-Badajoz, C. Núñez and I. Papadimitriou, Comments on the string dual to N = 1 SQCD, Phys. Rev. D 78 (2008) 086005 [arXiv:0807.3039] [INSPIRE].
C. Núñez, M. Piai and A. Rago, Wilson loops in string duals of walking and flavored systems, Phys. Rev. D 81 (2010) 086001 [arXiv:0909.0748] [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: 1503.07527
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
Bea, Y., Edelstein, J.D., Itsios, G. et al. Compactifications of the Klebanov-Witten CFT and new AdS 3 backgrounds. J. High Energ. Phys. 2015, 62 (2015). https://doi.org/10.1007/JHEP05(2015)062
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP05(2015)062