Contact terms, unitarity, and F-maximization in three-dimensional superconformal theories

Journal of High Energy Physics

Volumn 2012, Issue 10, 2012, Pages

  Closset, Cyril ^a   Dumitrescu, Thomas T ^b   Festuccia, Guido ^c   Komargodski, Zohar ^a,c   Seiberg, Nathan ^c  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^b PRINCETON UNIVERSITY   (United States)

^c INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

Chern Simons theories; Conformal and W symmetry; Field theories in lower dimensions; Supersymmetric gauge theory

Indexed keywords

EID: 84868118492     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP10(2012)053     Document Type: Article

References (67)

1. A. Zamolodchikov, Irreversibility of the Flux of the Renormalization Group in a 2D Field Theory, JETP Lett. 43 (1986) 730 [INSPIRE].
2. J.L. Cardy, Is There a c Theorem in Four-Dimensions?, Phys. Lett. B 215 (1988) 749 [INSPIRE].
3. Z. Komargodski and A. Schwimmer, On Renormalization Group Flows in Four Dimensions, JHEP 12 (2011) 099 [arXiv:1107.3987] [INSPIRE].
4. Z. Komargodski, The Constraints of Conformal Symmetry on RG Flows, JHEP 07 (2012) 069 [arXiv:1112.4538] [INSPIRE].
5. H. Elvang, D.Z. Freedman, L.-Y. Hung, M. Kiermaier, R.C. Myers and S. Theisen, On renormalization group flows and the a-theorem in 6d, arXiv:1205.3994 [INSPIRE].
6. M. Buican, A Conjectured Bound on Accidental Symmetries, Phys. Rev. D 85 (2012) 025020 [arXiv:1109.3279] [INSPIRE].
7. R.C. Myers and A. Sinha, Holographic c-theorems in arbitrary dimensions, JHEP 01 (2011) 125 [arXiv:1011.5819] [INSPIRE].
8. H. Casini, M. Huerta and R.C. Myers, Towards a derivation of holographic entanglement entropy, JHEP 05 (2011) 036 [arXiv:1102.0440] [INSPIRE].
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, JHEP 06 (2011) 102 [arXiv:1103.1181] [INSPIRE].
10. R.C. Myers and A. Singh, Comments on Holographic Entanglement Entropy and RG Flows, JHEP 04 (2012) 122 [arXiv:1202.2068] [INSPIRE].
11. H. Liu and M. Mezei, A refinement of entanglement entropy and the number of degrees of freedom, arXiv:1202.2070 [INSPIRE].
12. S. Minwalla, P. Narayan, T. Sharma, V. Umesh and X. Yin, Supersymmetric States in Large-N Chern-Simons-Matter Theories, JHEP 02 (2012) 022 [arXiv:1104.0680] [INSPIRE].
13. A. Amariti and M. Siani, Z-extremization and F-theorem in Chern-Simons matter theories, JHEP 10 (2011) 016 [arXiv:1105.0933] [INSPIRE].
14. A. Amariti and M. Siani, F-maximization along the RG flows: A Proposal, JHEP 11 (2011) 056 [arXiv:1105.3979] [INSPIRE].
15. I.R. Klebanov, S.S. Pufu and B.R. Safdi, F-Theorem without Supersymmetry, JHEP 10 (2011) 038 [arXiv:1105.4598] [INSPIRE].
16. T. Morita and V. Niarchos, F-theorem, duality and SUSY breaking in one-adjoint Chern-Simons-Matter theories, Nucl. Phys. B 858 (2012) 84 [arXiv:1108.4963] [INSPIRE].
17. F. Benini, C. Closset and S. Cremonesi, Comments on 3d Seiberg-like dualities, JHEP 10 (2011) 075 [arXiv:1108.5373] [INSPIRE].
18. I.R. Klebanov, S.S. Pufu, S. Sachdev and B.R. Safdi, Entanglement Entropy of 3-D Conformal Gauge Theories with Many Flavors, JHEP 05 (2012) 036 [arXiv:1112.5342] [INSPIRE].
19. H. Casini and M. Huerta, On the RG running of the entanglement entropy of a circle, Phys. Rev. D 85 (2012) 125016 [arXiv:1202.5650] [INSPIRE].
20. J. de Boer, K. Hori and Y. Oz, Dynamics of N = 2 supersymmetric gauge theories in three-dimensions, Nucl. Phys. B 500 (1997) 163 [hep-th/9703100] [INSPIRE].
21. O. Aharony, A. Hanany, K.A. Intriligator, N. Seiberg and M. Strassler, Aspects of N = 2 supersymmetric gauge theories in three-dimensions, Nucl. Phys. B 499 (1997) 67 [hep-th/9703110] [INSPIRE].
22. E. Witten, Topological Quantum Field Theory, Commun. Math. Phys. 117 (1988) 353 [INSPIRE].
23. A. Kapustin, B. Willett and I. Yaakov, Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter, JHEP 03 (2010) 089 [arXiv:0909.4559] [INSPIRE].
24. D.L. Jafferis, The Exact Superconformal R-Symmetry Extremizes Z, JHEP 05 (2012) 159 [arXiv:1012.3210] [INSPIRE].
25. N. Hama, K. Hosomichi and S. Lee, Notes on SUSY Gauge Theories on Three-Sphere, JHEP 03 (2011) 127 [arXiv:1012.3512] [INSPIRE].
26. V. Pestun, Localization of gauge theory on a four-sphere and supersymmetric Wilson loops, Commun. Math. Phys. 313 (2012) 71 [arXiv:0712.2824] [INSPIRE].
27. G. Festuccia and N. Seiberg, Rigid Supersymmetric Theories in Curved Superspace, JHEP 06 (2011) 114 [arXiv:1105.0689] [INSPIRE].
28. K.A. Intriligator and B. Wecht, The exact superconformal R symmetry maximizes a, Nucl. Phys. B 667 (2003) 183 [hep-th/0304128] [INSPIRE].
29. D. Green, Z. Komargodski, N. Seiberg, Y. Tachikawa and B. Wecht, Exactly Marginal Deformations and Global Symmetries, JHEP 06 (2010) 106 [arXiv:1005.3546] [INSPIRE].
30. C. Closset, T.T. Dumitrescu, G. Festuccia, Z. Komargodski and N. Seiberg, Comments on Chern-Simons Contact Terms in Three Dimensions, JHEP 09 (2012) 091 [arXiv:1206.5218] [INSPIRE].
31. T.T. Dumitrescu and N. Seiberg, Supercurrents and Brane Currents in Diverse Dimensions, JHEP 07 (2011) 095 [arXiv:1106.0031] [INSPIRE].
32. M.F. Sohnius and P.C. West, An Alternative Minimal Off-Shell Version of N = 1 Supergravity, Phys. Lett. B 105 (1981) 353 [INSPIRE].
33. M. Sohnius and P.C. West, The tensor calculus and matter coupling of the alternative minimal auxiliary field formulation of N = 1 supergravity, Nucl. Phys. B 198 (1982) 493 [INSPIRE].
34. S.M. Kuzenko, U. Lindström and G. Tartaglino-Mazzucchelli, Off-shell supergravity-matter couplings in three dimensions, JHEP 03 (2011) 120 [arXiv:1101.4013] [INSPIRE].
35. S.M. Kuzenko and G. Tartaglino-Mazzucchelli, Three-dimensional N = 2 (AdS) supergravity and associated supercurrents, JHEP 12 (2011) 052 [arXiv:1109.0496] [INSPIRE].
36. M. Roček and P. van Nieuwenhuizen, N ≥ 2 Supersymmetric Chern-Simons Terms As d = 3 Extended Conformal Supergravity, Class. Quant. Grav. 3 (1986) 43 [INSPIRE].
37. A. Achucarro and P. Townsend, A Chern-Simons Action for Three-Dimensional anti-de Sitter Supergravity Theories, Phys. Lett. B 180 (1986) 89 [INSPIRE].
38. A. Achucarro and P. Townsend, Extended Supergravitites in d = 2 + 1 as Chern-Simons Theories, Phys. Lett. B 229 (1989) 383 [INSPIRE].
39. Z. Komargodski and N. Seiberg, Comments on the Fayet-Iliopoulos Term in Field Theory and Supergravity, JHEP 06 (2009) 007 [arXiv:0904.1159] [INSPIRE].
40. Z. Komargodski and N. Seiberg, Comments on Supercurrent Multiplets, Supersymmetric Field Theories and Supergravity, JHEP 07 (2010) 017 [arXiv:1002.2228] [INSPIRE].
41. E. Witten, Quantum Field Theory and the Jones Polynomial, Commun. Math. Phys. 121 (1989) 351 [INSPIRE].
42. A. Redlich, Gauge Noninvariance and Parity Violation of Three-Dimensional Fermions, Phys. Rev. Lett. 52 (1984) 18 [INSPIRE].
43. A. Redlich, Parity Violation and Gauge Noninvariance of the Effective Gauge Field Action in Three-Dimensions, Phys. Rev. D 29 (1984) 2366 [INSPIRE].
44. L. Álvarez-Gaumé and E. Witten, Gravitational Anomalies, Nucl. Phys. B 234 (1984) 269 [INSPIRE].
45. N. Hama, K. Hosomichi and S. Lee, SUSY Gauge Theories on Squashed Three-Spheres, JHEP 05 (2011) 014 [arXiv:1102.4716] [INSPIRE].
46. F. Dolan, V. Spiridonov and G. Vartanov, From 4d superconformal indices to 3d partition functions, Phys. Lett. B 704 (2011) 234 [arXiv:1104.1787] [INSPIRE].
47. A. Gadde and W. Yan, Reducing the 4d Index to the S3 Partition Function, arXiv:1104.2592 [INSPIRE].
48. Y. Imamura, Relation between the 4d superconformal index and the S3 partition function, JHEP 09 (2011) 133 [arXiv:1104.4482] [INSPIRE].
49. Y. Imamura and D. Yokoyama, N=2 supersymmetric theories on squashed three-sphere, Phys. Rev. D 85 (2012) 025015 [arXiv:1109.4734] [INSPIRE].
50. D. Martelli, A. Passias and J. Sparks, The gravity dual of supersymmetric gauge theories on a squashed three-sphere, Nucl. Phys. B 864 (2012) 840 [arXiv:1110.6400] [INSPIRE].
51. D. Martelli and J. Sparks, The gravity dual of supersymmetric gauge theories on a biaxially squashed three-sphere, Nucl. Phys. B 866 (2013) 72 [arXiv:1111.6930] [INSPIRE].
52. E. Barnes, E. Gorbatov, K.A. Intriligator, M. Sudano and J. Wright, The exact superconformal R-symmetry minimizes τ (RR), Nucl. Phys. B 730 (2005) 210 [hep-th/0507137] [INSPIRE].
53. D. Kutasov, A. Parnachev and D.A. Sahakyan, Central charges and U(1)(R) symmetries in N = 1 super Yang-Mills, JHEP 11 (2003) 013 [hep-th/0308071] [INSPIRE].
54. P. Agarwal, A. Amariti and M. Siani, Refined Checks and Exact Dualities in Three Dimensions, arXiv:1205.6798 [INSPIRE].
55. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231
56. [Int. J. Theor. Phys. 38 (1999) 1113] [hep-th/9711200] [INSPIRE].
57. 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].
58. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
59. D.Z. Freedman, S.D. Mathur, A. Matusis and L. Rastelli, Correlation functions in the CFTd/AdSd+1 correspondence, Nucl. Phys. B 546 (1999) 96 [hep-th/9804058] [INSPIRE].
60. E. Barnes, E. Gorbatov, K.A. Intriligator and J. Wright, Current correlators and AdS/CFT geometry, Nucl. Phys. B 732 (2006) 89 [hep-th/0507146] [INSPIRE].
61. F. Benini, C. Closset and S. Cremonesi, Chiral flavors and M2-branes at toric CY4 singularities, JHEP 02 (2010) 036 [arXiv:0911.4127] [INSPIRE].
62. D.L. Jafferis, Quantum corrections to N = 2 Chern-Simons theories with flavor and their AdS4 duals, arXiv:0911.4324 [INSPIRE].
63. 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].
64. D. Martelli, J. Sparks and S.-T. Yau, The geometric dual of a-maximisation for Toric Sasaki-Einstein manifolds, Commun. Math. Phys. 268 (2006) 39 [hep-th/0503183] [INSPIRE].
65. D. Martelli, J. Sparks and S.-T. Yau, Sasaki-Einstein manifolds and volume minimisation, Commun. Math. Phys. 280 (2008) 611 [hep-th/0603021] [INSPIRE].
66. A. Butti and A. Zaffaroni, R-charges from toric diagrams and the equivalence of a-maximization and Z-minimization, JHEP 11 (2005) 019 [hep-th/0506232] [INSPIRE].
67. R. Eager, Equivalence of A-Maximization and Volume Minimization, arXiv:1011.1809 [INSPIRE].