Three-dimensional N = 2 (AdS) supergravity and associated supercurrents

Journal of High Energy Physics

Volumn 2011, Issue 12, 2011, Pages

  Kuzenko, Sergei M ^a   Tartaglino Mazzucchelli, Gabriele ^b  

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

^b UPPSALA UNIVERSITY   (Sweden)

Author keywords

Extended supersymmetry; Supergravity models; Superspaces

Indexed keywords

EID: 84255177130     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP12(2011)052     Document Type: Article

References (80)

1. W. Siegel, Off-shell central charges, Nucl. Phys. B 173 (1980) 51
2. L. Álvarez-Gaumé and D.Z. Freedman, Potentials for the supersymmetric nonlinearσ-model, Commun. Math. Phys. 91 (1983) 87
3. J. Scherk and J.H. Schwarz, How to get masses from extra dimensions, Nucl. Phys. B 153 (1979) 61
4. S. Deser, R. Jackiw and S. Templeton, Three-dimensional massive gauge theories, Phys. Rev. Lett. 48 (1982) 975
5. S. Deser, R. Jackiw and S. Templeton, Topologically massive gauge theories, Annals Phys. 140 (1982) 372 [Erratum ibid. 185 (1988) 406]
6. E. Witten, (2+1)-dimensional gravity as an exactly soluble system, Nucl. Phys. B 311 (1988) 46
7. J.H. Horne and E. Witten, Conformal gravity in three-dimensions as a gauge theory, Phys. Rev. Lett. 62 (1989) 501
8. P. van Nieuwenhuizen, D = 3 conformal supergravity and Chern-Simons terms, Phys. Rev. D 32 (1985) 872
9. M. Roček and P. van Nieuwenhuizen, N≥2 supersymmetric Chern-Simons terms as D = 3 extended conformal supergravity, Class. Quant. Grav. 3 (1986) 43
10. A. Achúcarro and P.K. Townsend, A Chern-Simons action for three-dimensional anti-de Sitter supergravity theories, Phys. Lett. B 180 (1986) 89
11. U. Lindström and M. Roček, Superconformal gravity in three-dimensions as a gauge theory, Phys. Rev. Lett. 62 (1989) 2905
12. A. Achúcarro and P.K. Townsend, Extended supergravities in d = (2+1) as Chern-Simons theories, Phys. Lett. B 229 (1989) 383
13. P.S. Howe, J.M. Izquierdo, G. Papadopoulos and P.K. Townsend, New supergravities with central charges and Killing spinors in (2+1)-dimensions, Nucl. Phys. B 467 (1996) 183
14. J.M. Izquierdo and P.K. Townsend, Supersymmetric space-times in (2+1) AdS supergravity models, Class. Quant. Grav. 12 (1995) 895
15. S.J. Gates Jr., M.T. Grisaru, M. Roček and W. Siegel, Superspace, or one thousand and one lessons in supersymmetry, Front. Phys. 58 (1983) 1
16. H. Nishino and S.J. Gates Jr., Chern-Simons theories with supersymmetries in three-dimensions, Int. J. Mod. Phys. A 8 (1993) 3371
17. M. Kaku and P.K. Townsend, Poincaré supergravity as broken superconformal gravity, Phys. Lett. B 76 (1978) 54
18. S.M. Kuzenko, U. Lindström and G. Tartaglino-Mazzucchelli, Off-shell supergravity-matter couplings in three dimensions, JHEP 03 (2011) 120
19. P.S. Howe and E. Sezgin, The supermembrane revisited, Class. Quant. Grav. 22 (2005) 2167
20. M. Cederwall, U. Gran and B.E.W. Nilsson, D = 3, N = 8 conformal supergravity and the Dragon window, JHEP 09 (2011) 101
21. J. Greitz and P.S. Howe, Maximal supergravity in three dimensions: supergeometry and differential forms, JHEP 07 (2011) 071
22. I.L. Buchbinder and S.M. Kuzenko, Ideas and methods of supersymmetry and supergravity, or a walk through superspace, IOP, Bristol U.K. (1998).
23. P.S. Howe, A superspace approach to extended conformal supergravity, Phys. Lett. B 100 (1981) 389
24. P.S. Howe, Supergravity in superspace, Nucl. Phys. B 199 (1982) 309
25. J. Wess and B. Zumino, Superfield Lagrangian for supergravity, Phys. Lett. B 74 (1978) 51 .
26. K.S. Stelle and P.C. West, Minimal auxiliary fields for supergravity, Phys. Lett. B 74 (1978) 330
27. S. Ferrara and P. van Nieuwenhuizen, The auxiliary fields of supergravity, Phys. Lett. B 74 (1978) 333
28. J. Wess and J. Bagger, Supersymmetry and supergravity, Princeton University Press, Princeton U.S.A. (1992).
29. V.P. Akulov, D.V. Volkov and V.A. Soroka, Generally covariant theories of gauge fields on superspace, Theor. Math. Phys. 31 (1977) 285
30. M.F. Sohnius and P.C. West, An alternative minimal off-shell version of N = 1 supergravity, Phys. Lett. B 105 (1981) 353
31. P. Breitenlohner, A geometric interpretation of local supersymmetry, Phys. Lett. B 67 (1977) 49
32. P. Breitenlohner, Some invariant Lagrangians for local supersymmetry, Nucl. Phys. B 124 (1977) 500
33. W. Siegel and S.J. Gates Jr., Superfield supergravity, Nucl. Phys. B 147 (1979) 77
34. D. Butter and S.M. Kuzenko, A dual formulation of supergravity-matter theories, Nucl. Phys. B 854 (2012) 1
35. D. Butter and S.M. Kuzenko, N = 2 AdS supergravity and supercurrents, JHEP 07 (2011) 081
36. D. Butter and S.M. Kuzenko, N = 2 supersymmetricσ-models in AdS, Phys. Lett. B 703 (2011) 620
37. D. Butter and S.M. Kuzenko, The structure of N = 2 supersymmetric nonlinearσ-models in AdS4, JHEP 11 (2011) 080
38. A. Adams, H. Jockers, V. Kumar and J.M. Lapan, N = 1σ-models in AdS4, arXiv:1104.3155
39. G. Festuccia and N. Seiberg, Rigid supersymmetric theories in curved superspace, JHEP 06 (2011) 114
40. S. Ferrara and B. Zumino, Transformation properties of the supercurrent, Nucl. Phys. B 87 (1975) 207
41. V. Ogievetsky and E. Sokatchev, On vector superfield generated by supercurrent, Nucl. Phys. B 124 (1977) 309
42. S. Ferrara and B. Zumino, Structure of conformal supergravity, Nucl. Phys. B 134 (1978) 301
43. W. Siegel, A derivation of the supercurrent superfield, Harvard Preprint HUTP-77/A089 .
44. T.E. Clark, O. Piguet and K. Sibold, Supercurrents, renormalization and anomalies, Nucl. Phys. B 143 (1978) 445
45. S.J. Gates Jr., M.T. Grisaru and W. Siegel, Auxiliary field anomalies, Nucl. Phys. B 203 (1982) 189
46. H. Osborn, N = 1 superconformal symmetry in four-dimensional quantum field theory, Annals Phys. 272 (1999) 243
47. M. Magro, I. Sachs and S. Wolf, Superfield Noether procedure, Annals Phys. 298 (2002) 123
48. Z. Komargodski and N. Seiberg, Comments on the Fayet-Iliopoulos term in field theory and supergravity, JHEP 06 (2009) 007
49. K.R. Dienes and B. Thomas, On the inconsistency of Fayet-Iliopoulos terms in supergravity theories, Phys. Rev. D 81 (2010) 065023
50. S.M. Kuzenko, The Fayet-Iliopoulos term and nonlinear self-duality, Phys. Rev. D 81 (2010) 085036
51. Z. Komargodski and N. Seiberg, Comments on supercurrent multiplets, supersymmetric field theories and supergravity, JHEP 07 (2010) 017
52. S.M. Kuzenko, Variant supercurrent multiplets, JHEP 04 (2010) 022 .
53. D. Butter, Conserved supercurrents and Fayet-Iliopoulos terms in supergravity
54. S. Zheng and J.-h. Huang, Variant supercurrents and linearized supergravity, Class. Quant. Grav. 28 (2011) 075012
55. S.M. Kuzenko, Variant supercurrents and Noether procedure, Eur. Phys. J. C 71 (2011) 1513
56. T.T. Dumitrescu and N. Seiberg, Supercurrents and brane currents in diverse dimensions, JHEP 07 (2011) 095
57. D. Butter and S.M. Kuzenko, N = 2 supergravity and supercurrents, JHEP 12 (2010) 080
58. M. Bañados, C. Teitelboim and J. Zanelli, The black hole in three-dimensional space-time, Phys. Rev. Lett. 69 (1992) 1849
59. M. Bañados, M. Henneaux, C. Teitelboim and J. Zanelli, Geometry of the (2+1) black hole, Phys. Rev. D 48 (1993) 1506
60. O. Coussaert and M. Henneaux, Supersymmetry of the (2+1) black holes, Phys. Rev. Lett. 72 (1994) 183
61. S.M. Kuzenko and S.A. McCarthy, On the component structure of N = 1 supersymmetric nonlinear electrodynamics, JHEP 05 (2005) 012
62. I.A. Bandos and C. Meliveo, Three form potential in (special) minimal supergravity superspace and supermembrane supercurrent, arXiv:1107.3232
63. B.B. Deo and S.J. Gates Jr., Comments on nonminimal N = 1 scalar multiplets, Nucl. Phys. B 254 (1985) 187
64. S.M. Kuzenko and S.J. Tyler, Complex linear superfield as a model for goldstino, JHEP 04 (2011) 057
65. S.J. Gates Jr., S.M. Kuzenko and J. Phillips, The off-shell (3/2, 2) supermultiplets revisited, Phys. Lett. B 576 (2003) 97
66. I.L. Buchbinder, S.J. Gates Jr., W.D. Linch and J. Phillips, New 4-D, N = 1 superfield theory: model of free massive superspin 3/2 multiplet, Phys. Lett. B 535 (2002) 280
67. E.A. Ivanov and A.S. Sorin, Superfield formulation of OSp(1, 4) supersymmetry, J. Phys. A 13 (1980) 1159
68. S.M. Kuzenko and A.G. Sibiryakov, Free massless higher superspin superfields on the anti-de Sitter superspace, Phys. Atom. Nucl. 57 (1994) 1257
69. Yad. Fiz. 57 (1994) 1326
70. I.A. Bandos, E. Ivanov, J. Lukierski and D. Sorokin, On the superconformal flatness of AdS superspaces, JHEP 06 (2002) 040
71. S.M. Kuzenko and G. Tartaglino-Mazzucchelli, Field theory in 4D N = 2 conformally flat superspace, JHEP 10 (2008) 001
72. S.M. Kuzenko and G. Tartaglino-Mazzucchelli, Conformally flat supergeometry in five dimensions, JHEP 06 (2008) 097
73. S.M. Kuzenko, J.-H. Park, G. Tartaglino-Mazzucchelli and R. Unge, Off-shell superconformal nonlinearσ-models in three dimensions, JHEP 01 (2011) 146
74. E.A. Bergshoeff, O. Hohm and P.K. Townsend, Massive gravity in three dimensions, Phys. Rev. Lett. 102 (2009) 201301
75. R. Andringa et al., Massive 3D supergravity, Class. Quant. Grav. 27 (2010) 025010
76. E.A. Bergshoeff, O. Hohm, J. Rosseel, E. Sezgin and P.K. Townsend, More on massive 3D supergravity, Class. Quant. Grav. 28 (2011) 015002
77. E.A. Bergshoeff, O. Hohm, J. Rosseel and P.K. Townsend, On maximal massive 3D supergravity, Class. Quant. Grav. 27 (2010) 235012
78. V. Pestun, Localization of gauge theory on a four-sphere and supersymmetric Wilson loops, arXiv:0712.2824
79. V. Pestun, Localization of the four-dimensional N = 4 SYM to a two-sphere and 1/8 BPS Wilson loops, arXiv:0906.0638
80. D.L. Jafferis, The exact superconformal R-symmetry extremizes Z, arXiv:1012.3210 .