Five-dimensional N = 1 AdS superspace: Geometry, off-shell multiplets and dynamics

Nuclear Physics B

Volumn 785, Issue 1-2, 2007, Pages 34-73

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

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34648830575     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2007.06.014     Document Type: Article

References (71)

1. Galperin A.S., Ivanov E.A., Kalitsyn S.N., Ogievetsky V., and Sokatchev E. Unconstrained N = 2 matter, Yang-Mills and supergravity theories in harmonic superspace. Class. Quantum Grav. 1 (1984) 469
2. Galperin A.S., Ivanov E.A., Ogievetsky V.I., and Sokatchev E.S. Harmonic Superspace (2001), Cambridge Univ. Press, Cambridge, UK 306p
3. Karlhede A., Lindström U., and Roček M. Self-interacting tensor multiplets in N = 2 superspace. Phys. Lett. B 147 (1984) 297
4. Siegel W. Chiral actions for N = 2 supersymmetric tensor multiplets. Phys. Lett. B 153 (1985) 51
5. Lindström U., and Roček M. New hyper-Kähler metrics and new supermultiplets. Commun. Math. Phys. 115 (1988) 21
6. Lindström U., and Roček M. N = 2 super-Yang-Mills theory in projective superspace. Commun. Math. Phys. 128 (1990) 191
7. Rosly A.A. Super-Yang-Mills constraints as integrability conditions. Zvenigorod, USSR, 1982. In: Markov M.A. (Ed). Proceedings of the International Seminar on Group Theoretical Methods in Physics vol. 1 (1983), Nauka, Moscow 263 (in Russian); English translation:
8. Rosly A.A. Super-Yang-Mills constraints as integrability conditions. In: Markov M.A., Man'ko V.I., and Shabad A.E. (Eds). Group Theoretical Methods in Physics vol. 3 (1987), Harwood Academic Publishers, London 587
9. Witten E. An interpretation of classical Yang-Mills theory. Phys. Lett. B 77 (1978) 394
10. Zupnik B. Harmonic superpotentials and symmetries in gauge theories with eight supercharges. Nucl. Phys. B 554 (1999) 365. hep-th/9902038
11. Zupnik B. Nucl. Phys. B 644 (2002) 405 Erratum
12. Kuzenko S.M., and Linch III W.D. On five-dimensional superspaces. JHEP 0602 (2006) 038. hep-th/0507176
13. Howe P.S., Stelle K.S., and West P.C. N = 1D = 6 harmonic superspace. Class. Quantum Grav. 2 (1985) 815
14. Zupnik B.M. Six-dimensional supergauge theories in the harmonic superspace. Sov. J. Nucl. Phys. 44 (1986) 512
15. Grundberg J., and Lindström U. Actions for linear multiplets in six dimensions. Class. Quantum Grav. 2 (1985) L33
16. Gates Jr. S.J., Penati S., and Tartaglino-Mazzucchelli G. 6D supersymmetry, projective superspace and 4D, N = 1 superfields. JHEP 0605 (2006) 051. hep-th/0508187
17. Gates Jr. S.J., Penati S., and Tartaglino-Mazzucchelli G. 6D supersymmetric nonlinear sigma-models in 4D, N = 1 superspace. JHEP 0609 (2006) 006. hep-th/0604042
18. Siegel W. Curved extended superspace from Yang-Mills theory a la strings. Phys. Rev. D 53 (1996) 3324. hep-th/9510150
19. Linch III W.D., and Vallilo B.C. Covariant N = 2 heterotic string in four dimensions. hep-th/0611105
20. Berkovits N. Covariant quantization of the Green-Schwarz superstring in a Calabi-Yau background. Nucl. Phys. B 431 (1994) 258. hep-th/9404162
21. Berkovits N., and Vafa C. N = 4 topological strings. Nucl. Phys. B 433 (1995) 123. hep-th/9407190
22. Berkovits N., and Siegel W. Superspace effective actions for 4D compactifications of heterotic and type II superstrings. Nucl. Phys. B 462 (1996) 213. hep-th/9510106
23. Galperin A.S., Ky N.A., and Sokatchev E. N = 2 supergravity in superspace: Solution to the constraints. Class. Quantum Grav. 4 (1987) 1235
24. Galperin A.S., Ivanov E.A., Ogievetsky V.I., and Sokatchev E. N = 2 supergravity in superspace: Different versions and matter couplings. Class. Quantum Grav. 4 (1987) 1255
25. Sokatchev E. Off-shell six-dimensional supergravity in harmonic superspace. Class. Quantum Grav. 5 (1988) 1459
26. Wess J., and Bagger J. Supersymmetry and supergravity (1992), Princeton Univ. Press, Princeton, USA 259p
27. Siegel W., and Gates Jr. S.J. Superfield supergravity. Nucl. Phys. B 147 (1979) 77
28. Gates Jr. S.J., Grisaru M.T., Roček M., and Siegel W. Superspace, or One Thousand and One Lessons in Supersymmetry (1983), Benjamin/Cummings. hep-th/0108200
29. Buchbinder I.L., and Kuzenko S.M. Ideas and Methods of Supersymmetry and Supergravity or a Walk Through Superspace (1998), IOP, Bristol
30. Segal A.Y., and Sibiryakov A.G. Explicit N = 2 supersymmetry for higher-spin massless fields in D = 4 AdS superspace. Int. J. Mod. Phys. A 17 (2002) 1207. hep-th/9903122
31. Gates Jr. S.J., Kuzenko S.M., and Sibiryakov A.G. N = 2 supersymmetry of higher superspin massless theories. Phys. Lett. B 412 (1997) 59. hep-th/9609141
32. Gates Jr. S.J., Kuzenko S.M., and Sibiryakov A.G. Towards a unified theory of massless superfields of all superspins. Phys. Lett. B 394 (1997) 343. hep-th/9611193
33. Bandos I.A., Ivanov E., Lukierski J., and Sorokin D. On the superconformal flatness of AdS superspaces. JHEP 0206 (2002) 040. hep-th/0205104
34. Kuzenko S.M. On compactified harmonic/projective superspace, 5D superconformal theories, and all that. Nucl. Phys. B 745 (2006) 176. hep-th/0601177
35. Dragon N. Torsion and curvature in extended supergravity. Z. Phys. C 2 (1979) 29
36. Ivanov E.A., and Sorin A.S. Superfield formulation of Osp (1, 4) supersymmetry. J. Phys. A 13 (1980) 1159
37. Sohnius M.F. Supersymmetry and central charges. Nucl. Phys. B 138 (1978) 109
38. Breitenlohner P., and Sohnius M.F. Superfields, auxiliary fields, and tensor calculus for N = 2 extended supergravity. Nucl. Phys. B 165 (1980) 483
39. Wess J. Supersymmetry and internal symmetry. Acta Phys. Austriaca 41 (1975) 409
40. Siegel W. Off-shell central charges. Nucl. Phys. B 173 (1980) 51
41. Sohnius M.F., Stelle K.S., and West P.C. Representations of extended supersymmetry. In: Hawking S.W., and Roček M. (Eds). Superspace and Supergravity (1981), Cambridge Univ. Press, Cambridge 283
42. S.V. Ketov, New self-interaction for N = 2 multiplets in 4d and ultraviolet finiteness of two-dimensional N = 4 sigma-models, in: Proceedings of the International Seminar Group Theory Methods in Physics, vol. 1, Urmala, USSR, May 1985, Nauka, Moscow, 1985, p. 87
43. Ketov S.V., and Lokhvitsky B.B. Some generalizations of N = 2 Yang-Mills matter couplings. Class. Quantum Grav. 4 (1987) L137
44. Ketov S.V., Lokhvitsky B.B., and Tyutin I.V. Hyperkahler sigma models in extended superspace. Theor. Math. Phys. 71 (1987) 496
45. Gonzalez-Rey F., Lindström U., Roček M., von Unge R., and Wiles S. Feynman rules in N = 2 projective superspace. I: Massless hypermultiplets. Nucl. Phys. B 516 (1998) 426. hep-th/9710250
46. Galperin A.S., Ivanov E.A., and Ogievetsky V.I. Duality transformations and most general matter self-coupling in N = 2 supersymmetry. Nucl. Phys. B 282 (1987) 74
47. Rosly A.A. Gauge fields in superspace and twistors. Class. Quantum Grav. 2 (1985) 693
48. Rosly A.A., and Schwarz A.S. Supersymmetry in a space with auxiliary dimensions. Commun. Math. Phys. 105 (1986) 645
49. Kuzenko S.M. Projective superspace as a double-punctured harmonic superspace. Int. J. Mod. Phys. A 14 (1999) 1737. hep-th/9806147
50. Deo B.B., and Gates Jr. S.J. Comments on nonminimal N = 1 scalar multiplets. Nucl. Phys. B 254 (1985) 187
51. Gates Jr. S.J., and Kuzenko S.M. The CNM-hypermultiplet nexus. Nucl. Phys. B 543 (1999) 122. hep-th/9810137
52. Gates Jr. S.J., and Kuzenko S.M. 4D N = 2 supersymmetric off-shell sigma models on the cotangent bundles of Kähler manifolds. Fortschr. Phys. 48 (2000) 115. hep-th/9903013
53. Arai M., and Nitta M. Hyper-Kähler sigma models on (co)tangent bundles with SO (n) isometry. Nucl. Phys. B 745 (2006) 208. hep-th/0602277
54. Arai M., Kuzenko S.M., and Lindström U. Hyperkähler sigma models on cotangent bundles of Hermitian symmetric spaces using projective superspace. JHEP 0702 (2007) 100. hep-th/0612174
55. de Wit B., Roček M., and Vandoren S. Hypermultiplets, hyper-Kaehler cones and quaternion-Kaehler geometry. JHEP 0102 (2001) 039. hep-th/0101161
56. Keck B.W. An alternative class of supersymmetries. J. Phys. A 8 (1975) 1819
57. Zumino B. Nonlinear realization of supersymmetry in anti-de Sitter space. Nucl. Phys. B 127 (1977) 189
58. Coleman S., Wess J., and Zumino B. Structure of phenomenological Lagrangians. 1. Phys. Rev. 177 (1969) 2239
59. Callan C.G., Coleman S., Wess J., and Zumino B. Structure of phenomenological Lagrangians. 2. Phys. Rev. 177 (1969) 2247
60. Isham C.J. A group-theoretic approach to chiral transformations. Nuovo Cimento 59A (1969) 356
61. Isham C.J. Metric structures and chiral symmetries. Nuovo Cimento 61A (1969) 188
62. Salam A., and Strathdee J. Nonlinear realizations. 1: The role of Goldstone bosons. Phys. Rev. 184 (1969) 1750
63. Volkov D.V. Phenomenological Lagrangians. Sov. J. Part. Nucl. 4 (1973) 3
64. V.I. Ogievetsky, Nonlinear realizations of internal and space-time symmetries, in: Proceedings of the Xth Winter School of Theoretical Physics in Karpacz, vol. 1, Wroslaw, 1974, p. 227
65. Aharony O., Gubser S.S., Maldacena J.M., Ooguri H., and Oz Y. Large N field theories, string theory and gravity. Phys. Rep. 323 (2000) 183. hep-th/9905111
66. Kuzenko S.M., and McArthur I.N. Goldstone multiplet for partially broken superconformal symmetry. Phys. Lett. B 522 (2001) 320. hep-th/0109183
67. Bellucci S., Ivanov E., and Krivonos S. Goldstone superfield actions in AdS(5) backgrounds. Nucl. Phys. B 672 (2003) 123. hep-th/0212295
68. Osborn H. N = 1 superconformal symmetry in four-dimensional quantum field theory. Ann. Phys. 272 (1999) 243. hep-th/9808041
69. Kuzenko S.M., and Theisen S. Correlation functions of conserved currents in N = 2 superconformal theory. Class. Quantum Grav. 17 (2000) 665. hep-th/9907107
70. Akulov V.P., and Volkov D.V. Goldstone fields with spin 1/2. Theor. Math. Phys. 18 (1974) 28
71. Akulov V.P., and Volkov D.V. Goldstone fields with spin 1/2. Teor. Mat. Fiz. 18 (1974) 39