N = 2 AdS supergravity and supercurrents

Journal of High Energy Physics

Volumn 2011, Issue 7, 2011, Pages

  Butter, Daniel ^a   Kuzenko, Sergei M ^a  

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

Author keywords

Extended Supersymmetry; Supergravity Models; Superspaces

Indexed keywords

EID: 80053231936     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP07(2011)081     Document Type: Article

References (77)

1. S. Ferrara and B. Zumino, Transformation properties of the supercurrent, Nucl. Phys. B 87 (1975) 207.
2. D. Butter and S.M. Kuzenko, N = 2 supergravity and supercurrents, JHEP 12 (2010) 080 [arXiv:1011.0339].
3. B. de Wit, R. Philippe and A. Van Proeyen, The improved tensor multiplet in N = 2 supergravity, Nucl. Phys. B 219 (1983) 143.
4. M.F. Sohnius, The multiplet of currents for N = 2 extended supersymmetry, Phys. Lett. B 81 (1979) 8.
5. K.S. Stelle, Extended supercurrents and the ultraviolet finiteness of N = 4 supersymmetric Yang-Mills theory, in Quantum structure of space and time, M.J. Duff and C.J. Isham eds. , Cambridge University Press, Cambridge U.K. (1982) 337.
6. S.M. Kuzenko and S. Theisen, Correlation functions of conserved currents in N = 2 superconformal theory, Class. Quant. Grav. 17 (2000) 665 [hep-th/9907107].
7. D. Butter and S.M. Kuzenko, New higher-derivative couplings in 4D N = 2 supergravity, JHEP 03 (2011) 047 [arXiv:1012.5153].
8. S.M. Kuzenko, U. Lindström, M. Roček and G. Tartaglino-Mazzucchelli, 4D N = 2 supergravity and projective superspace, JHEP 09 (2008) 051 [arXiv:0805.4683].
9. S.M. Kuzenko, U. Lindström, M. Roček and G. Tartaglino-Mazzucchelli, On conformal supergravity and projective superspace, JHEP 08 (2009) 023 [arXiv:0905.0063].
10. S.M. Kuzenko, On N = 2 supergravity and projective superspace: dual formulations, Nucl. Phys. B 810 (2009) 135 [arXiv:0807.3381].
11. S.M. Kuzenko and G. Tartaglino-Mazzucchelli, Different representations for the action principle in 4D N = 2 supergravity, JHEP 04 (2009) 007 [arXiv:0812.3464].
12. M. Magro, I. Sachs and S. Wolf, Superfield Noether procedure, Annals Phys. 298 (2002) 123 [hep-th/0110131].
13. S.M. Kuzenko, Variant supercurrent multiplets, JHEP 04 (2010) 022 [arXiv:1002.4932].
14. S.M. Kuzenko, Variant supercurrents and Noether procedure, Eur. Phys. J. C 71 (2011) 1513 [arXiv:1008.1877].
15. S.J. Gates, Jr. ., S.M. Kuzenko and J. Phillips, The off-shell (3/2, 2) supermultiplets revisited, Phys. Lett. B 576 (2003) 97 [hep-th/0306288].
16. J. Wess and B. Zumino, Superfield Lagrangian for supergravity, Phys. Lett. B 74 (1978) 51.
17. K.S. Stelle and P.C. West, Minimal auxiliary fields for supergravity, Phys. Lett. B 74 (1978) 330.
18. S. Ferrara and P. van Nieuwenhuizen, The auxiliary fields of supergravity, Phys. Lett. B 74 (1978) 333.
19. V.P. Akulov, D.V. Volkov and V.A. Soroka, On the general covariant theory of calibrating poles in superspace, Theor. Math. Phys. 31 (1977) 285.
20. M.F. Sohnius and P.C. West, An alternative minimal off-shell version of N = 1 supergravity, Phys. Lett. B 105 (1981) 353.
21. S.P. Bedding and W. Lang, Linearized superfield formulation of the new minimal N = 1 supergravity, Nucl. Phys. B 196 (1982) 532.
22. P.S. Howe, K.S. Stelle and P.K. Townsend, The vanishing volume of N = 1 superspace, Phys. Lett. B 107 (1981) 420.
23. S.J. Gates, Jr., M. Roček and W. Siegel, Solution to constraints for N = 0 supergravity, Nucl. Phys. B 198 (1982) 113.
24. I.L. Buchbinder, S.J. Gates, Jr., W.D. Linch, III and J. Phillips, New 4D, N = 1 superfield theory: model of free massive superspin-3/2 multiplet, Phys. Lett. B 535 (2002) 280 [hep-th/0201096].
25. Z. Komargodski and N. Seiberg, Comments on supercurrent multiplets, supersymmetric field theories and supergravity, JHEP 07 (2010) 017 [arXiv:1002.2228].
26. P. Breitenlohner, Some invariant Lagrangians for local supersymmetry, Nucl. Phys. B 124 (1977) 500.
27. W. Siegel and S.J. Gates, Jr., Superfield supergravity, Nucl. Phys. B 147 (1979) 77.
28. 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].
29. S.M. Kuzenko and A.G. Sibiryakov, Free massless higher superspin superfields on the anti-de Sitter superspace, Phys. Atom. Nucl. 57 (1994) 1257.
30. R. Grimm, M. Sohnius and J. Wess, Extended supersymmetry and gauge theories, Nucl. Phys. B 133 (1978) 275.
31. J. Wess, Supersymmetry and internal symmetry, Acta Phys. Austriaca 41 (1975) 409.
32. P.S. Howe, A superspace approach to extended conformal supergravity, Phys. Lett. B 100 (1981) 389.
33. P.S. Howe, Supergravity in superspace, Nucl. Phys. B 199 (1982) 309.
34. M. Müller, Consistent classical supergravity theories,Lecture Notes in Physics 336, Springer Verlag, Berlin Germany (1989).
35. R. Grimm, Solution of the Bianchi identities in SU(2) extended superspace with constraints, in Unification of the fundamental particle interactions, S. Ferrara, J. Ellis and P. van Nieuwenhuizen eds. , Plenum Press, New York U.S.A. (1980) 509.
36. M.F. Sohnius, Supersymmetry and central charges, Nucl. Phys. B 138 (1978) 109.
37. P. Breitenlohner and M.F. Sohnius, Superfields, auxiliary fields, and tensor calculus for N = 2 extended supergravity, Nucl. Phys. B 165 (1980) 483.
38. P. Breitenlohner and M.F. Sohnius, An almost simple off-shell version of SU(2) Poincaré supergravity, Nucl. Phys. B 178 (1981) 151.
39. M.F. Sohnius, K.S. Stelle and P.C. West, Representations of extended supersymmetry, in Superspace and supergravity, S.W. Hawking and M. Roček eds. , Cambridge University Press, Cambridge U.K. (1981) 283.
40. L. Mezincescu, On the superfield formulation of O(2) supersymmetry, Dubna preprint JINR-P2-12572 (1979).
41. P.S. Howe, K.S. Stelle and P.K. Townsend, Supercurrents, Nucl. Phys. B 192 (1981) 332.
42. S.J. Gates, Jr. and W. Siegel, Linearized N = 2 superfield supergravity, Nucl. Phys. B 195 (1982) 39.
43. W. Siegel, Off-shell N = 2 supersymmetry for the massive scalar multiplet, Phys. Lett. B 122 (1983) 361.
44. M. Muller, Chiral actions for minimal N = 2 supergravity, Nucl. Phys. B 289 (1987) 557.
45. B. de Wit, J.W. van Holten and A. Van Proeyen, Transformation rules of N = 2 supergravity multiplets, Nucl. Phys. B 167 (1980) 186.
46. E. Bergshoeff, M. de Roo and B. de Wit, Extended conformal supergravity, Nucl. Phys. B 182 (1981) 173.
47. V.O. Rivelles and J.G. Taylor, Linearized N = 2 superfield supergravity, J. Phys. A 15 (1982) 163.
48. W. Siegel, Curved extended superspace from Yang-Mills theory a la strings, Phys. Rev. D 53 (1996) 3324 [hep-th/9510150].
49. S.M. Kuzenko and G. Tartaglino-Mazzucchelli, Field theory in 4D N = 2 conformally flat superspace, JHEP 10 (2008) 001 [arXiv:0807.3368].
50. D. Butter, Background field formalism for chiral matter and gauge fields conformally coupled to supergravity, Nucl. Phys. B 828 (2010) 233 [arXiv:0909.4901].
51. R. D'Auria and S. Ferrara, Dyonic masses from conformal field strengths in D even dimensions, Phys. Lett. B 606 (2005) 211 [hep-th/0410051].
52. J. Louis and A. Micu, Type II theories compactified on Calabi-Yau threefolds in the presence of background fluxes, Nucl. Phys. B 635 (2002) 395 [hep-th/0202168].
53. G. Dall'Agata, R. D'Auria, L. Sommovigo and S. Vaula, D = 4, N = 2 gauged supergravity in the presence of tensor multiplets, Nucl. Phys. B 682 (2004) 243 [hep-th/0312210].
54. R. D'Auria, L. Sommovigo and S. Vaula, N = 2 supergravity Lagrangian coupled to tensor multiplets with electric and magnetic fluxes, JHEP 11 (2004) 028 [hep-th/0409097].
55. J. Louis and W. Schulgin, Massive tensor multiplets in N = 1 supersymmetry, Fortsch. Phys. 53 (2005) 235 [hep-th/0410149].
56. U. Theis, Masses and dualities in extended Freedman-Townsend models, Phys. Lett. B 609 (2005) 402 [hep-th/0412177].
57. S.M. Kuzenko, On massive tensor multiplets, JHEP 01 (2005) 041 [hep-th/0412190].
58. J.P. Gauntlett, S. Kim, O. Varela and D. Waldram, Consistent supersymmetric Kaluza-Klein truncations with massive modes, JHEP 04 (2009) 102 [arXiv:0901.0676].
59. S.J. Gates, Jr., A. Karlhede, U. Lindström and M. Roček, N = 1 superspace geometry of extended supergravity, Nucl. Phys. B 243 (1984) 221.
60. J.M.F. Labastida, M. Roček, E. Sanchez-Velasco and P. Wills, N = 2 supergravity action in terms of N = 1 superfields, Phys. Lett. B 151 (1985) 111.
61. J.M.F. Labastida, E. Sanchez-Velasco and P. Wills, The N = 2 vector multiplet coupled to supergravity in N = 1 superspace, Nucl. Phys. B 256 (1985) 394.
62. J.M.F. Labastida, E. Sanchez-Velasco and P. Wills, N = 2 conformal supergravity in N = 1 superspace, Nucl. Phys. B 278 (1986) 851.
63. E.S. Fradkin and G.A. Vilkovisky, Conformal off mass shell extension and elimination of conformal anomalies in quantum gravity, Phys. Lett. B 73 (1978) 209.
64. P.A.M. Dirac, Long range forces and broken symmetries, Proc. Roy. Soc. Lond. A 333 (1973) 403.
65. I.A. Bandos, E. Ivanov, J. Lukierski and D. Sorokin, On the superconformal flatness of AdS superspaces, JHEP 06 (2002) 040 [hep-th/0205104].
66. B.W. Keck, An alternative class of supersymmetries, J. Phys. A 8 (1975) 1819.
67. B. Zumino, Nonlinear realization of supersymmetry in de Sitter space, Nucl. Phys. B 127 (1977) 189.
68. E.A. Ivanov and A.S. Sorin, Superfield formulation of OSp(1, 4) supersymmetry, J. Phys. A 13 (1980) 1159.
69. I.L. Buchbinder and S.M. Kuzenko, Ideas and methods of supersymmetry and supergravity or a walk through superspace, IOP, Bristol U.K. (1998).
70. S.M. Kuzenko, On superconformal projective hypermultiplets, JHEP 12 (2007) 010 [arXiv:0710.1479].
71. U. Lindström and M. Roček, Scalar tensor duality and N = 1, N = 2 nonlinear s-models, Nucl. Phys. B 222 (1983) 285.
72. W. Siegel, Solution to constraints in Wess-Zumino supergravity formalism, Nucl. Phys. B 142 (1978) 301.
73. V. Ogievetsky and E. Sokatchev, On vector superfield generated by supercurrent, Nucl. Phys. B 124 (1977) 309.
74. V. Ogievetsky and E. Sokatchev, Structure of supergravity group, Phys. Lett. 79B (1978) 222.
75. D. Butter, Conserved supercurrents and Fayet-Iliopoulos terms in supergravity, arXiv:1003.0249.
76. M.T. Grisaru and W. Siegel, Supergraphity. Part 1. Background field formalism, Nucl. Phys. B 187 (1981) 149.
77. B. de Wit and M. Roček, Improved tensor multiplets, Phys. Lett. B 109 (1982) 439.