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Benini, Francesco; Bobev, Nikolay; Crichigno, P. Marcos

Two-dimensional SCFTs from D3-branes. (English) Zbl 1390.83088

J. High Energy Phys. 2016, No. 7, Paper No. 20, 51 p. (2016).
Summary: We find a large class of two-dimensional \( \mathcal{N} = (0, 2)\) SCFTs obtained by compactifying four-dimensional \( \mathcal{N} =1\) quiver gauge theories on a Riemann surface. We study these theories using anomalies and \(c\)-extremization. The gravitational duals to these fixed points are new \(\mathrm{AdS}_3\) solutions of IIB supergravity which we exhibit explicitly. Along the way we uncover a universal relation between the conformal anomaly coefficients of fourdimensional and two-dimensional SCFTs connected by an RG flow across dimensions. We also observe an interesting novel phenomenon in which the superconformal R-symmetry mixes with baryonic symmetries along the RG flow.

Cited in 53 Documents

MSC:

83C47 Methods of quantum field theory in general relativity and gravitational theory
83E50 Supergravity

Keywords:

AdS-CFT correspondence; anomalies in field and string theories; supersymmetric gauge theory
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\textit{F. Benini} et al., J. High Energy Phys. 2016, No. 7, Paper No. 20, 51 p. (2016; Zbl 1390.83088)
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References:

[1] E. Witten, Three-Dimensional Gravity Revisited, arXiv:0706.3359 [INSPIRE]. · Zbl 0768.53042
[2] 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 [INSPIRE]. · Zbl 0584.53039
[3] E. Witten, Topological σ-models, Commun. Math. Phys.118 (1988) 411 [INSPIRE]. · Zbl 0674.58047
[4] M. Bershadsky, A. Johansen, V. Sadov and C. Vafa, Topological reduction of 4-D SYM to 2-D σ-models, Nucl. Phys.B 448 (1995) 166 [hep-th/9501096] [INSPIRE]. · Zbl 1009.58502
[5] M. Bershadsky, C. Vafa and V. Sadov, D-branes and topological field theories, Nucl. Phys.B 463 (1996) 420 [hep-th/9511222] [INSPIRE]. · Zbl 1004.81560
[6] 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]. · Zbl 0984.83052
[7] F. Benini and N. Bobev, Exact two-dimensional superconformal R-symmetry and c-extremization, Phys. Rev. Lett.110 (2013) 061601 [arXiv:1211.4030] [INSPIRE].
[8] F. Benini and N. Bobev, Two-dimensional SCFTs from wrapped branes and c-extremization, JHEP06 (2013) 005 [arXiv:1302.4451] [INSPIRE]. · Zbl 1390.83325
[9] A. Johansen, Holomorphic currents and duality in N = 1 supersymmetric theories, JHEP12 (2003) 032 [hep-th/0309125] [INSPIRE].
[10] A. Kapustin, Holomorphic reduction of N = 2 gauge theories, Wilson-’t Hooft operators and S-duality, hep-th/0612119 [INSPIRE].
[11] S. Benvenuti, S. Franco, A. Hanany, D. Martelli and J. Sparks, An infinite family of superconformal quiver gauge theories with Sasaki-Einstein duals, JHEP06 (2005) 064 [hep-th/0411264] [INSPIRE].
[12] J.P. Gauntlett, D. Martelli, J. Sparks and D. Waldram, Sasaki-Einstein metrics on S2 × S3, Adv. Theor. Math. Phys.8 (2004) 711 [hep-th/0403002] [INSPIRE]. · Zbl 1136.53317
[13] I. Bah, C. Beem, N. Bobev and B. Wecht, AdS/CFT Dual Pairs from M5-Branes on Riemann Surfaces, Phys. Rev.D 85 (2012) 121901 [arXiv:1112.5487] [INSPIRE].
[14] I. Bah, C. Beem, N. Bobev and B. Wecht, Four-Dimensional SCFTs from M5-Branes, JHEP06 (2012) 005 [arXiv:1203.0303] [INSPIRE]. · Zbl 1397.81218
[15] N. Bobev, K. Pilch and O. Vasilakis, (0, 2) SCFTs from the Leigh-Strassler fixed point, JHEP06 (2014) 094 [arXiv:1403.7131] [INSPIRE]. · Zbl 1333.81158
[16] D. Kutasov and J. Lin, (0, 2) Dynamics From Four Dimensions, Phys. Rev.D 89 (2014) 085025 [arXiv:1310.6032] [INSPIRE].
[17] D. Kutasov and J. Lin, (0, 2) ADE Models From Four Dimensions, arXiv:1401.5558 [INSPIRE].
[18] N. Kim, AdS3solutions of IIB supergravity from D3-branes, JHEP01 (2006) 094 [hep-th/0511029] [INSPIRE].
[19] J.P. Gauntlett, O.A.P. Mac Conamhna, T. Mateos and D. Waldram, Supersymmetric AdS3solutions of type IIB supergravity, Phys. Rev. Lett.97 (2006) 171601 [hep-th/0606221] [INSPIRE]. · Zbl 1228.83112
[20] J.P. Gauntlett, O.A.P. Mac Conamhna, T. Mateos and D. Waldram, New supersymmetric AdS3solutions, Phys. Rev.D 74 (2006) 106007 [hep-th/0608055] [INSPIRE].
[21] J.P. Gauntlett, N. Kim and D. Waldram, Supersymmetric AdS3, AdS2and Bubble Solutions, JHEP04 (2007) 005 [hep-th/0612253] [INSPIRE].
[22] A. Donos, J.P. Gauntlett and N. Kim, AdS Solutions Through Transgression, JHEP09 (2008) 021 [arXiv:0807.4375] [INSPIRE]. · Zbl 1245.83060
[23] A. Donos, J.P. Gauntlett and J. Sparks, AdS3 × w (S3 × S3 × S1) Solutions of Type IIB String Theory, Class. Quant. Grav.26 (2009) 065009 [arXiv:0810.1379] [INSPIRE]. · Zbl 1162.83365
[24] J.P. Gauntlett and N. Kim, Geometries with Killing Spinors and Supersymmetric AdS Solutions, Commun. Math. Phys.284 (2008) 897 [arXiv:0710.2590] [INSPIRE]. · Zbl 1179.53078
[25] N. Kim, The Backreacted Káhler Geometry of Wrapped Branes, Phys. Rev.D 86 (2012) 067901 [arXiv:1206.1536] [INSPIRE].
[26] I. Bah and V. Stylianou, Gravity duals of N = (0, 2) SCFTs from M5-branes, arXiv:1508.04135 [INSPIRE]. · Zbl 1415.81070
[27] Y. Bea et al., Compactifications of the Klebanov-Witten CFT and new AdS3backgrounds, JHEP05 (2015) 062 [arXiv:1503.07527] [INSPIRE].
[28] A. Donos and J.P. Gauntlett, Flowing from AdS5to AdS3with T1,1, JHEP08 (2014) 006 [arXiv:1404.7133] [INSPIRE].
[29] P. Karndumri and E.O. Colgáin, 3D Supergravity from wrapped D3-branes, JHEP10 (2013) 094 [arXiv:1307.2086] [INSPIRE]. · Zbl 1342.83486
[30] P. Karndumri and E. O Colgáin, Supergravity dual of c-extremization, Phys. Rev.D 87 (2013) 101902 [arXiv:1302.6532] [INSPIRE]. · Zbl 1342.83486
[31] A. Almuhairi and J. Polchinski, Magnetic AdS × R2: Supersymmetry and stability, arXiv:1108.1213 [INSPIRE].
[32] J. de Boer, M. Johnstone, M.M. Sheikh-Jabbari and J. Simon, Emergent IR Dual 2d CFTs in Charged AdS5 Black Holes, Phys. Rev.D 85 (2012) 084039 [arXiv:1112.4664] [INSPIRE].
[33] A. Gadde, S. Gukov and P. Putrov, Fivebranes and 4-manifolds, arXiv:1306.4320 [INSPIRE]. · Zbl 1373.81295
[34] A. Gadde, S. Gukov and P. Putrov, (0, 2) trialities, JHEP03 (2014) 076 [arXiv:1310.0818] [INSPIRE].
[35] A. Gadde, S. Gukov and P. Putrov, Exact Solutions of 2d Supersymmetric Gauge Theories, arXiv:1404.5314 [INSPIRE]. · Zbl 1429.81088
[36] P. Putrov, J. Song and W. Yan, (0, 4) dualities, JHEP03 (2016) 185 [arXiv:1505.07110] [INSPIRE].
[37] S. Franco, D. Ghim, S. Lee, R.-K. Seong and D. Yokoyama, 2d (0, 2) Quiver Gauge Theories and D-branes, JHEP09 (2015) 072 [arXiv:1506.03818] [INSPIRE]. · Zbl 1388.81976
[38] A. Gadde, S.S. Razamat and B. Willett, On the reduction of 4dN \[\mathcal{N} = 1\] theories on S2, JHEP11 (2015) 163 [arXiv:1506.08795] [INSPIRE]. · Zbl 1388.81181
[39] D. Anselmi, D.Z. Freedman, M.T. Grisaru and A.A. Johansen, Nonperturbative formulas for central functions of supersymmetric gauge theories, Nucl. Phys.B 526 (1998) 543 [hep-th/9708042] [INSPIRE]. · Zbl 1031.81565
[40] 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]. · Zbl 0948.81619
[41] K.A. Intriligator and B. Wecht, The exact superconformal R symmetry maximizes a, Nucl. Phys.B 667 (2003) 183 [hep-th/0304128] [INSPIRE]. · Zbl 1059.81602
[42] S. Kachru and E. Silverstein, 4-D conformal theories and strings on orbifolds, Phys. Rev. Lett.80 (1998) 4855 [hep-th/9802183] [INSPIRE]. · Zbl 0947.81096
[43] Y. Tachikawa and B. Wecht, Explanation of the Central Charge Ratio 27/32 in Four-Dimensional Renormalization Group Flows between Superconformal Theories, Phys. Rev. Lett.103 (2009) 061601 [arXiv:0906.0965] [INSPIRE]. · Zbl 1254.81066
[44] D.M. Hofman and J. Maldacena, Conformal collider physics: Energy and charge correlations, JHEP05 (2008) 012 [arXiv:0803.1467] [INSPIRE].
[45] F. Benini, Y. Tachikawa and B. Wecht, Sicilian gauge theories and N = 1 dualities, JHEP01 (2010) 088 [arXiv:0909.1327] [INSPIRE]. · Zbl 1269.81080
[46] D.R. Morrison and M.R. Plesser, Nonspherical horizons. 1, Adv. Theor. Math. Phys.3 (1999) 1 [hep-th/9810201] [INSPIRE]. · Zbl 0936.83043
[47] K.A. Intriligator and B. Wecht, Baryon charges in 4-D superconformal field theories and their AdS duals, Commun. Math. Phys.245 (2004) 407 [hep-th/0305046] [INSPIRE]. · Zbl 1062.81128
[48] J.P. Gauntlett, D. Martelli, J. Sparks and D. Waldram, Supersymmetric AdS5solutions of type IIB supergravity, Class. Quant. Grav.23 (2006) 4693 [hep-th/0510125] [INSPIRE]. · Zbl 1096.83069
[49] A. Buchel and J.T. Liu, Gauged supergravity from type IIB string theory on Yp,qmanifolds, Nucl. Phys.B 771 (2007) 93 [hep-th/0608002] [INSPIRE]. · Zbl 1117.81113
[50] J.P. Gauntlett and O. Varela, Consistent Kaluza-Klein reductions for general supersymmetric AdS solutions, Phys. Rev.D 76 (2007) 126007 [arXiv:0707.2315] [INSPIRE]. · Zbl 1181.83184
[51] J.P. Gauntlett, E. O Colgáin and O. Varela, Properties of some conformal field theories with M-theory duals, JHEP02 (2007) 049 [hep-th/0611219] [INSPIRE].
[52] D. Klemm and W.A. Sabra, Supersymmetry of black strings in D = 5 gauged supergravities, Phys. Rev.D 62 (2000) 024003 [hep-th/0001131] [INSPIRE].
[53] M.T. Anderson, C. Beem, N. Bobev and L. Rastelli, Holographic Uniformization, Commun. Math. Phys.318 (2013) 429 [arXiv:1109.3724] [INSPIRE]. · Zbl 1329.81299
[54] D. Tong, The holographic dual of AdS3 × S3 × S3 × S1, JHEP04 (2014) 193 [arXiv:1402.5135] [INSPIRE].
[55] S. Franco, S. Lee and R.-K. Seong, Brane Brick Models, Toric Calabi-Yau 4-Folds and 2d (0, 2) Quivers, JHEP02 (2016) 047 [arXiv:1510.01744] [INSPIRE]. · Zbl 1388.81527
[56] 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]. · Zbl 1185.81111
[57] A. Gadde, E. Pomoni, L. Rastelli and S.S. Razamat, S-duality and 2d Topological QFT, JHEP03 (2010) 032 [arXiv:0910.2225] [INSPIRE]. · Zbl 1271.81157
[58] T. Dimofte, D. Gaiotto and S. Gukov, Gauge Theories Labelled by Three-Manifolds, Commun. Math. Phys.325 (2014) 367 [arXiv:1108.4389] [INSPIRE]. · Zbl 1292.57012
[59] F. Benini and A. Zaffaroni, A topologically twisted index for three-dimensional supersymmetric theories, JHEP07 (2015) 127 [arXiv:1504.03698] [INSPIRE]. · Zbl 1388.81400
[60] C. Closset and I. Shamir, TheN \[\mathcal{N} = 1\] Chiral Multiplet on T2 × S2and Supersymmetric Localization, JHEP03 (2014) 040 [arXiv:1311.2430] [INSPIRE].
[61] M. Cvetič, H. Lü, D.N. Page and C.N. Pope, New Einstein-Sasaki spaces in five and higher dimensions, Phys. Rev. Lett.95 (2005) 071101 [hep-th/0504225] [INSPIRE].
[62] M. Cvetič, H. Lü, D.N. Page and C.N. Pope, New Einstein-Sasaki and Einstein spaces from Kerr-de Sitter, JHEP07 (2009) 082 [hep-th/0505223] [INSPIRE].
[63] A. Butti, D. Forcella and A. Zaffaroni, The Dual superconformal theory for Lp,q,rmanifolds, JHEP09 (2005) 018 [hep-th/0505220] [INSPIRE].
[64] M. Baggio, N. Halmagyi, D.R. Mayerson, D. Robbins and B. Wecht, Higher Derivative Corrections and Central Charges from Wrapped M5-branes, JHEP12 (2014) 042 [arXiv:1408.2538] [INSPIRE].
[65] N. Kim and J.-D. Park, Comments on AdS2solutions of D = 11 supergravity, JHEP09 (2006) 041 [hep-th/0607093] [INSPIRE].
[66] O.A.P. Mac Conamhna and E. O Colgáin, Supersymmetric wrapped membranes, AdS2spaces and bubbling geometries, JHEP03 (2007) 115 [hep-th/0612196] [INSPIRE].
[67] F. Benini, K. Hristov and A. Zaffaroni, Black hole microstates in AdS4from supersymmetric localization, JHEP05 (2016) 054 [arXiv:1511.04085] [INSPIRE]. · Zbl 1388.83388
[68] I. Bena, N. Bobev, C. Ruef and N.P. Warner, Supertubes in Bubbling Backgrounds: Born-Infeld Meets Supergravity, JHEP07 (2009) 106 [arXiv:0812.2942] [INSPIRE].
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