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D2-brane Chern-Simons theories: \(F\) -maximization = \(a\)-maximization. (English) Zbl 1388.83241


MSC:

83C47 Methods of quantum field theory in general relativity and gravitational theory
81R12 Groups and algebras in quantum theory and relations with integrable systems
83E50 Supergravity

References:

[1] 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]. · Zbl 0914.53047
[2] 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 · doi:10.1016/S0550-3213(03)00459-0
[3] M. Henningson and K. Skenderis, The holographic Weyl anomaly, JHEP07 (1998) 023 [hep-th/9806087] [INSPIRE]. · Zbl 0958.81083 · doi:10.1088/1126-6708/1998/07/023
[4] S.S. Gubser, Einstein manifolds and conformal field theories, Phys. Rev.D 59 (1999) 025006 [hep-th/9807164] [INSPIRE].
[5] 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 · doi:10.4310/ATMP.2004.v8.n4.a3
[6] 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]. · doi:10.1088/1126-6708/2005/06/064
[7] O. Aharony, O. Bergman, D.L. Jafferis and J. Maldacena, N = 6 superconformal Chern-Simons-matter theories, M 2-branes and their gravity duals, JHEP10 (2008) 091 [arXiv:0806.1218] [INSPIRE]. · Zbl 1245.81130 · doi:10.1088/1126-6708/2008/10/091
[8] D.L. Jafferis, The exact superconformal R-symmetry extremizes Z, JHEP05 (2012) 159 [arXiv:1012.3210] [INSPIRE]. · Zbl 1348.81420 · doi:10.1007/JHEP05(2012)159
[9] D.L. Jafferis, I.R. Klebanov, S.S. Pufu and B.R. Safdi, Towards the F-theorem: N = 2 field theories on the three-sphere, JHEP06 (2011) 102 [arXiv:1103.1181] [INSPIRE]. · Zbl 1298.81304 · doi:10.1007/JHEP06(2011)102
[10] C. Closset, T.T. Dumitrescu, G. Festuccia, Z. Komargodski and N. Seiberg, Contact terms, unitarity and F-maximization in three-dimensional superconformal theories, JHEP10 (2012) 053 [arXiv:1205.4142] [INSPIRE]. · Zbl 1397.83187 · doi:10.1007/JHEP10(2012)053
[11] A. Guarino, D.L. Jafferis and O. Varela, String theory origin of dyonic N = 8 supergravity and its Chern-Simons duals, Phys. Rev. Lett.115 (2015) 091601 [arXiv:1504.08009] [INSPIRE]. · doi:10.1103/PhysRevLett.115.091601
[12] J. Sparks, Sasaki-Einstein manifolds, Surveys Diff. Geom.16 (2011) 265 [arXiv:1004.2461] [INSPIRE]. · Zbl 1256.53037 · doi:10.4310/SDG.2011.v16.n1.a6
[13] D. Martelli and J. Sparks, Moduli spaces of Chern-Simons quiver gauge theories and AdS4/CF T3, Phys. Rev.D 78 (2008) 126005 [arXiv:0808.0912] [INSPIRE].
[14] M. Aganagic, A stringy origin of M 2 brane Chern-Simons theories, Nucl. Phys.B 835 (2010) 1 [arXiv:0905.3415] [INSPIRE]. · Zbl 1204.81131 · doi:10.1016/j.nuclphysb.2010.01.007
[15] D. Gaiotto and A. Tomasiello, The gauge dual of Romans mass, JHEP01 (2010) 015 [arXiv:0901.0969] [INSPIRE]. · Zbl 1269.81126 · doi:10.1007/JHEP01(2010)015
[16] J.H. Schwarz, Superconformal Chern-Simons theories, JHEP11 (2004) 078 [hep-th/0411077] [INSPIRE]. · doi:10.1088/1126-6708/2004/11/078
[17] D. Gaiotto and A. Tomasiello, Perturbing gauge/gravity duals by a Romans mass, J. Phys.A 42 (2009) 465205 [arXiv:0904.3959] [INSPIRE]. · Zbl 1181.83204
[18] M. Petrini and A. Zaffaroni, N = 2 solutions of massive type IIA and their Chern-Simons duals, JHEP09 (2009) 107 [arXiv:0904.4915] [INSPIRE]. · doi:10.1088/1126-6708/2009/09/107
[19] D. Lüst and D. Tsimpis, New supersymmetric AdS4type-II vacua, JHEP09 (2009) 098 [arXiv:0906.2561] [INSPIRE]. · doi:10.1088/1126-6708/2009/09/098
[20] A. Kapustin, B. Willett and I. Yaakov, Exact results for Wilson loops in superconformal Chern-Simons theories with matter, JHEP03 (2010) 089 [arXiv:0909.4559] [INSPIRE]. · Zbl 1271.81110 · doi:10.1007/JHEP03(2010)089
[21] N. Hama, K. Hosomichi and S. Lee, Notes on SUSY gauge theories on three-sphere, JHEP03 (2011) 127 [arXiv:1012.3512] [INSPIRE]. · Zbl 1301.81133 · doi:10.1007/JHEP03(2011)127
[22] C.P. Herzog, I.R. Klebanov, S.S. Pufu and T. Tesileanu, Multi-matrix models and Tri-Sasaki Einstein spaces, Phys. Rev.D 83 (2011) 046001 [arXiv:1011.5487] [INSPIRE].
[23] D. Martelli and J. Sparks, The large-N limit of quiver matrix models and Sasaki-Einstein manifolds, Phys. Rev.D 84 (2011) 046008 [arXiv:1102.5289] [INSPIRE].
[24] S. Benvenuti and A. Hanany, New results on superconformal quivers, JHEP04 (2006) 032 [hep-th/0411262] [INSPIRE]. · doi:10.1088/1126-6708/2006/04/032
[25] 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 · doi:10.1016/S0550-3213(98)00278-8
[26] D. Anselmi, J. Erlich, D.Z. Freedman and A.A. Johansen, Positivity constraints on anomalies in supersymmetric gauge theories, Phys. Rev.D 57 (1998) 7570 [hep-th/9711035] [INSPIRE].
[27] J.M. Maldacena, Wilson loops in large-N field theories, Phys. Rev. Lett.80 (1998) 4859 [hep-th/9803002] [INSPIRE]. · Zbl 0947.81128 · doi:10.1103/PhysRevLett.80.4859
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