Infrared stability of N = 2 Chern-Simons matter theories

Journal of High Energy Physics

Volumn 2010, Issue 5, 2010, Pages

  Bianchi, Marco S ^a,b   Penati, Silvia ^a,b   Siani, Massimo ^a,b  

^a UNIVERSITY OF MILANO BICOCCA   (Italy)

^b INFN SEZIONE DI MILANO   (Italy)

Author keywords

Chern Simons theories; Extended supersymmetry; Field theories in lower dimensions

Indexed keywords

EID: 77954984431     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP05(2010)106     Document Type: Article

References (65)

1. A. S. Schwarz, The partition function of degenerate quadratic functional and Ray-Singer invariants, Lett. Math. Phys. 2 (1978) 247.
2. E. Witten, Quantum field theory and the Jones polynomial, Commun. Math. Phys. 121 (1989) 351.
3. J. H. Schwarz, Superconformal Chern-Simons theories, JHEP 11 (2004) 078 [hep-th/0411077].
4. D. Gaiotto and X. Yin, Notes on superconformal Chern-Simons-matter theories, JHEP 08 (2007) 056 [arXiv:0704.3740].
5. D. Gaiotto and E. Witten, Janus configurations, Chern-Simons couplings, and the θ-angle in N = 4 super Yang-Mills theory, arXiv: 0804. 2907.
6. H.-C. Kao and K.-M. Lee, Selfdual Chern-Simons systems with an N = 3 extended super symmetry, Phys. Rev. D 46 (1992) 4691 [hep-th/9205115].
7. J. Bagger and N. Lambert, Modeling multiple M2's, Phys. Rev. D 75 (2007) 045020 [hep-th/0611108].
8. J. Bagger and N. Lambert, Gauge symmetry and supersymmetry of multiple M2-branes, Phys. Rev. D 77 (2008) 065008 [arXiv:0711.0955].
9. O. Aharony, O. Bergman, D. L. Jafferis and J. Maldacena, N = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals, JHEP 10 (2008) 091 [arXiv: 0806.1218].
10. A. Gustavsson, Algebraic structures on parallel M2-branes, Nucl. Phys. B 811 (2009) 66 [arXiv:0709.1260].
11. M. Van Raamsdonk, Comments on the Bagger-Lambert theory and multiple M2-branes, JHEP 05 (2008) 105 [arXiv:0803.3803].
12. 2, arXiv:0906.3568.
13. O.-K. Kwon, P. Oh and J. Sohn, Notes on supersymmetry enhancement of ABJM theory, JHEP 08 (2009) 093 [arXiv:0906.4333].
14. T. Nishioka and T. Takayanagi, On type IIA Penrose limit and N = 6 Chern-Simons theories, JHEP 08 (2008) 001 [arXiv:0806.3391].
15. J. A. Minahan and K. Zarembo, The Bethe ansatz for superconformal Chern-Simons, JHEP 09 (2008) 040 [arXiv:0806.3951].
16. J. A. Minahan, W. Schulgin and K. Zarembo, Two loop integrability for Chern-Simons theories with N = 6 supersymmetry, JHEP 03 (2009) 057 [arXiv:0901.1142].
17. D. Gaiotto, S. Giombi and X. Yin, Spin chains in N = 6 superconformal Chern-Simons-matter theory, JHEP 04 (2009) 066 [arXiv:0806.4589].
18. D. Bak and S.-J. Rey, Integrable spin chain in superconformal Chern-Simons theory, JHEP 10 (2008) 053 [arXiv:0807.2063].
19. 3 Bethe ansatz, JHEP 01 (2009) 016 [arXiv:0807.0777].
20. D. Bak, D. Gang and S.-J. Rey, Integrable spin chain of superconformal U (M) × U (N) Chern-Simons theory, JHEP 10 (2008) 038 [arXiv:0808.0170].
21. C. Kristjansen, M. Orselli and K. Zoubos, Non-planar ABJM theory and integrability, JHEP 03 (2009) 037 [arXiv:0811.2150].
22. N. Gromov, V. Kazakov and P. Vieira, Exact spectrum of anomalous dimensions of planar N = 4 supersymmetric Yang-Mills theory, Phys. Rev. Lett. 103 (2009) 131601 [arXiv:0901.3753].
23. B. I. Zwiebel, Two-loop integrability of planar N = 6 superconformal Chern-Simons theory, J. Phys. A 42 (2009) 495402 [arXiv:0901.0411].
24. D. Bak, H. Min and S.-J. Rey, Integrability of N = 6 Chern-Simons theory at six loops and beyond, arXiv:0911.0689.
25. D. Berenstein and D. Trancanelli, Three-dimensional N = 6 SCFT's and their membrane dynamics, Phys. Rev. D 78 (2008) 106009 [arXiv:0808.2503].
26. K. Hosomichi et al., A nonperturbative test of M2-brane theory, JHEP 11 (2008) 058 [arXiv:0809.1771].
27. S. Kim, The complete superconformal index for N = 6 Chern-Simons theory, Nucl. Phys. B 821 (2009) 241 [arXiv:0903.4172].
28. M. M. Sheikh-Jabbari and J. Simon, On half-BPS states of the ABJM theory, JHEP 08 (2009) 073 [arXiv:0904.4605].
29. M. K. Benna, I. R. Klebanov and T. Klose, Charges of monopole operators in Chern-Simons Yang-Mills theory, JHEP 01 (2010) 110 [arXiv:0906.3008].
30. D. Berenstein and J. Park, The BPS spectrum of monopole operators in ABJM: towards a field theory description of the giant torus, arXiv:0906.3817.
31. S. Kim and K. Madhu, Aspects of monopole operators in N = 6 Chern-Simons theory, JHEP 12 (2009) 018 [arXiv:0906.4751].
32. A. Giveon, D. Kutasov and O. Lunin, Spontaneous SUSY breaking in various dimensions, Nucl. Phys. B 822 (2009) 127 [arXiv:0904.2175].
33. A. Amariti and M. Siani, R-symmetry and supersymmetry breaking in 3D WZ models, JHEP 08 (2009) 055 [arXiv:0905.4725].
34. O. Aharony, O. Bergman and D. L. Jafferis, Fractional M2-branes, JHEP 11 (2008) 043 [arXiv:0807.4924].
35. M. Schnabl and Y. Tachikawa, Classification of N = 6 superconformal theories of ABJM type, arXiv:0807.1102.
36. 3 correspondence, JHEP 09 (2008) 072 [arXiv:0806.1519].
37. 3, Phys. Rev. D 78 (2008) 126005 [arXiv:0808.0912].
38. A. Hanany and A. Zaffaroni, Tilings, Chern-Simons theories and M2 branes, JHEP 10 (2008) 111 [arXiv:0808.1244].
39. S. Franco, A. Hanany, J. Park and D. Rodriguez-Gomez, Towards M2-brane theories for generic toric singularities, JHEP 12 (2008) 110 [arXiv:0809.3237].
40. A. Hanany and Y.-H. He, M2-branes and quiver Chern-Simons: a taxonomic study, arXiv:0811.4044.
41. E. Imeroni, On deformed gauge theories and their string/M-theory duals, JHEP 10 (2008) 026 [arXiv:0808.1271].
42. D. L. Jafferis and A. Tomasiello, A simple class of N = 3 gauge/gravity duals, JHEP 10 (2008) 101 [arXiv:0808.0864].
43. D. Gaiotto and A. Tomasiello, The gauge dual of Romans mass, JHEP 01 (2010) 015 [arXiv:0901.0969].
44. D. Gaiotto and A. Tomasiello, Perturbing gauge/gravity duals by a Romans mass, J. Phys. A 42 (2009) 465205 [arXiv:0904.3959].
45. I. L. Buchbinder et al., Quantum N = 3, D = 3 Chern-Simons matter theories in harmonic superspace, JHEP 10 (2009) 075 [arXiv:0909.2970].
46. S. Hohenegger and I. Kirsch, A note on the holography of Chern-Simons matter theories with flavour, JHEP 04 (2009) 129 [arXiv:0903.1730].
47. 3, arXiv:0903.2175.
48. Y. Hikida, W. Li and T. Takayanagi, ABJM with flavors and FQHE, JHEP 07 (2009) 065 [arXiv:0903.2194].
49. F. Benini, C. Closset and S. Cremonesi, Chiral flavors and M2-branes at toric CY 4 singularities, JHEP 02 (2010) 036 [arXiv:0911.4127].
50. 4 duals, arXiv:0911.4324.
51. L. J. Romans, Massive N = 2a supergravity in ten-dimensions, Phys. Lett. B 169 (1986) 374.
52. P. de Medeiros, J. Figueroa-O'Farrill, E. Méndez-Escobar and P. Ritter, On the Lie-algebraic origin of metric 3-algebras, Commun. Math. Phys. 290 (2009) 871 [arXiv:0809.1086].
53. P. de Medeiros, J. Figueroa-O'Farrill and E. Méndez-Escobar, Superpotentials for superconformal Chern-Simons theories from representation theory, J. Phys. A 42 (2009) 485204 [arXiv:0908.2125].
54. B. E. W. Nilsson and C. N. Pope, Hopf fibration of eleven-dimensional supergravity, Class. Quant. Grav. 1 (1984) 499.
55. M. S. Bianchi, S. Penati and M. Siani, Infrared stability of ABJ-like theories, JHEP 01 (2010) 080 [arXiv:0910.5200].
56. B. M. Zupnik and D. G. Pak, Superfield formulation of the simplest three-dimensional gauge theories and conformal supergravities, Theor. Math. Phys. 77 (1988) 1070.
57. B. M. Zupnik and D. G. Pak, Topologically massive gauge theories in superspace, Sov. Phys. J. 31 (1988) 962.
58. E. A. Ivanov, Chern-Simons matter systems with manifest N = 2 supersymmetry, Phys. Lett. B 268 (1991) 203.
59. S. J. Gates, M. T. Grisaru, M. Roček and W. Siegel, Superspace, or one thousand and one lessons in supersymmetry, Front. Phys. 58 (1983) 1 [hep-th/0108200].
60. L. V. Avdeev, G. V. Grigorev and D. I. Kazakov, Renormalizations in Abelian Chern-Simons field theories with matter, Nucl. Phys. B 382 (1992) 561.
61. L. V. Avdeev, D. I. Kazakov and I. N. Kondrashuk, Renormalizations in supersymmetric and nonsupersymmetric nonAbelian Chern-Simons field theories with matter, Nucl. Phys. B 391 (1993) 333.
62. H.-C. Kao, K.-M. Lee and T. Lee, The Chern-Simons coefficient in supersymmetric Yang-Mills Chern-Simons theories, Phys. Lett. B 373 (1996) 94 [hep-th/9506170].
63. M. T. Grisaru, W. Siegel and M. Roček, Improved methods for supergraphs, Nucl. Phys. B 159 (1979) 429.
64. N. Akerblom, C. Sämann and M. Wolf, Marginal deformations and 3-algebra structures, Nucl. Phys. B 826 (2010) 456 [arXiv:0906.1705].
65. A. Mauri, S. Penati, A. Santambrogio and D. Zanon, Exact results in planar N = 1 superconformal Yang-Mills theory, JHEP 11 (2005) 024 [hep-th/0507282].