On compactified harmonic/projective superspace, 5D superconformal theories, and all that

Nuclear Physics B

Volumn 745, Issue 3, 2006, Pages 176-207

  Kuzenko, Sergei M ^a  

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646534418     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2006.03.019     Document Type: Article

References (79)

1. Nahm W. Supersymmetries and their representations. Nucl. Phys. B 135 (1978) 149
2. Kac V.G. Lie superalgebras. Adv. Math. 26 (1977) 8
3. Kugo T., and Ohashi K. Off-shell d = 5 supergravity coupled to matter-Yang-Mills system. Prog. Theor. Phys. 105 (2001) 323. hep-ph/0010288
4. Fujita T., and Ohashi K. Superconformal tensor calculus in five dimensions. Prog. Theor. Phys. 106 (2001) 221. hep-th/0104130
5. Fujita T., Kugo T., and Ohashi K. Off-shell formulation of supergravity on orbifold. Prog. Theor. Phys. 106 (2001) 671. hep-th/0106051
6. Kugo T., and Ohashi K. Superconformal tensor calculus on orbifold in 5D. Prog. Theor. Phys. 108 (2002) 203. hep-th/0203276
7. Bergshoeff E., Cucu S., De Wit T., Gheerardyn J., Halbersma R., Vandoren S., and Van Proeyen A. Superconformal N = 2, D = 5 matter with and without actions. JHEP 0210 (2002) 045. hep-th/0205230
8. Bergshoeff E., Cucu S., de Wit T., Gheerardyn J., Vandoren S., and Van Proeyen A. N = 2 supergravity in five dimensions revisited. Class. Quantum Grav. 21 (2004) 3015. hep-th/0403045
9. Galperin A., Ivanov E., Kalitsyn S., Ogievetsky V., and Sokatchev E. Unconstrained N = 2 matter, Yang-Mills and supergravity theories in harmonic superspace. Class. Quantum Grav. 1 (1984) 469
10. Galperin A.S., Ivanov E.A., Ogievetsky V.I., and Sokatchev E.S. Harmonic Superspace (2001), Cambridge Univ. Press, Cambridge
11. Karlhede A., Lindström U., and Roček M. Self-interacting tensor multiplets in N = 2 superspace. Phys. Lett. B 147 (1984) 297
12. Siegel W. Chiral actions for N = 2 supersymmetric tensor multiplets. Phys. Lett. B 153 (1985) 51
13. Lindström U., and Roček M. New hyper-Kähler metrics and new supermultiplets. Commun. Math. Phys. 115 (1988) 21
14. Lindström U., and Roček M. N = 2 super-Yang-Mills theory in projective superspace. Commun. Math. Phys. 128 (1990) 191
15. Gonzalez-Rey F., Roček M., Wiles S., Lindström U., and von Unge R. Feynman rules in N = 2 projective superspace. I: Massless hypermultiplets. Nucl. Phys. B 516 (1998) 426. hep-th/9710250
16. 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
17. Berkovits N. Conformal compensators and manifest type IIB S-duality. Phys. Lett. B 423 (1998) 265. hep-th/9801009
18. Rosly A.A. Super-Yang-Mills constraints as integrability conditions. In: Markov M.A. (Ed). Group Theoretical Methods in Physics (1983), Nauka, Moscow 263
19. Rosly A.A., and Schwarz A.S. Supersymmetry in a space with auxiliary dimensions. Commun. Math. Phys. 105 (1986) 645
20. Witten E. An interpretation of classical Yang-Mills theory. Phys. Lett. B 77 (1978) 394
21. Kuzenko S.M. Projective superspace as a double-punctured harmonic superspace. Int. J. Mod. Phys. A 14 (1999) 1737. hep-th/9806147
22. Kuzenko S.M., and Linch W.D. On five-dimensional superspaces. hep-th/0507176
23. de Wit B., Roček M., and Vandoren S. Hypermultiplets, hyper-Kähler cones and quaternion-Kähler geometry. JHEP 0102 (2001) 039. hep-th/0101161
24. Galperin A.S., Ivanov E.A., Ogievetsky V.I., and Sokatchev E.S. Conformal invariance in harmonic superspace. In: Batalin I., Isham C.J., and Vilkovisky G. (Eds). Quantum Field Theory and Quantum Statistics vol. 2 (1987), Adam Hilger, Bristol
25. Ivanov E.A., Smilga A.V., and Zupnik B.M. Renormalizable supersymmetric gauge theory in six dimensions. Nucl. Phys. B 726 (2005) 131. hep-th/0505082
26. Rosly A.A. Gauge fields in superspace and twistors. Class. Quantum Grav. 2 (1985) 693
27. Lukierski J., and Nowicki A. General superspaces from supertwistors. Phys. Lett. B 211 (1988) 276
28. Howe P.S., and Hartwell G.G. A superspace survey. Class. Quantum Grav. 12 (1995) 1823
29. Manin Yu.I. Gauge Field Theory and Complex Geometry (1988), Springer, Berlin
30. Penrose R. Twistor algebra. J. Math. Phys. 8 (1967) 345
31. Penrose R., and MacCallum M.A.H. Twistor theory: An approach to the quantization of fields and space-time. Phys. Rep. 6 (1972) 241
32. Ward R.S., and Wells R.O. Twistor Geometry and Field Theory (1991), Cambridge Univ. Press, Cambridge
33. Gibbons G.W., and Steif A.R. Sphalerons and conformally compactified Minkowski space-time. Phys. Lett. B 346 (1995) 255. hep-ph/9412210
34. Segal I.E. Mathematical Cosmology and Extragalactic Astronomy (1976), Academic Press, New York
35. 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
36. Sohnius M.F. The conformal group in superspace. In: Castell L., Drieschner M., and von Weizsäcker C.F. (Eds). Quantum Theory and the Structures of Time and Space vol. 2 (1977), Carl Hanser Verlag, München 241
37. Lang W. Construction of the minimal superspace translation tensor and the derivation of the supercurrent. Nucl. Phys. B 179 (1981) 106
38. Bonora L., Pasti P., and Tonin M. Cohomologies and anomalies in supersymmetric theories. Nucl. Phys. B 252 (1985) 458
39. Shizuya K.i. Supercurrents and superconformal symmetry. Phys. Rev. D 35 (1987) 1848
40. Buchbinder I.L., and Kuzenko S.M. Ideas and Methods of Supersymmetry and Supergravity or a Walk Through Superspace (1998), IOP, Bristol
41. West P.C. Introduction to rigid supersymmetric theories. hep-th/9805055
42. Osborn H. N = 1 superconformal symmetry in four-dimensional quantum field theory. Ann. Phys. 272 (1999) 243. hep-th/9808041
43. Park J.H. Superconformal symmetry in six dimensions and its reduction to four. Nucl. Phys. B 539 (1999) 599. hep-th/9807186
44. Park J.H. Superconformal symmetry and correlation functions. Nucl. Phys. B 559 (1999) 455. hep-th/9903230
45. 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
46. Uhlmann A. The closure of Minkowski space. Acta Phys. Pol. 24 (1963) 295
47. Todorov I.T., Mintchev M.C., and Petkova V.P. Conformal Invariance in Quantum Field Theory (1978), Pisa, Scuola Normale Superiore
48. Todorov I.T. Conformal Description of Spinning Particles (1986), Springer, Berlin
49. Weyl H. Space-Time-Matter (1952), Dover, New York
50. Dirac P.A.M. Wave equations in conformal space. Ann. Math. 37 (1936) 429
51. Cartan E. Sur les domaines bornés homogènes de l'espace de n variables complexes. Abh. Math. Sem. Univ. Hamburg 11 (1935) 116
52. Hua L.K. Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains (1963), American Mathematical Society, Providence
53. Paneitz S.M., and Segal I.E. Analysis in space-time bundles. I. General considerations and the scalar bundle. J. Funct. Anal. 47 (1982) 78
54. Wess J., and Bagger J. Supersymmetry and Supergravity (1992), Princeton Univ. Press
55. Ferber A. Supertwistors and conformal supersymmetry. Nucl. Phys. B 132 (1978) 55
56. DeWitt B.S. Supermanifolds (1992), Cambridge Univ. Press, Cambridge
57. Zupnik B. Harmonic superpotentials and symmetries in gauge theories with eight supercharges. Nucl. Phys. B 554 (1999) 365. hep-th/9902038
58. Howe P.S., Sierra G., and Townsend P.K. Supersymmetry in six dimensions. Nucl. Phys. B 221 (1983) 331
59. Howe P.S., Stelle K.S., and West P.C. N = 1 D = 6 harmonic superspace. Class. Quantum Grav. 2 (1985) 815
60. Zupnik B.M. Sov. J. Nucl. Phys. 44 (1986) 512
61. Grundberg J., and Lindstrom U. Actions for linear multiplets in six dimensions. Class. Quantum Grav. 2 (1985) L33
62. Gates S.J., Penati S., and Tartaglino-Mazzucchelli G. 6D supersymmetry, projective superspace and 4D, N = 1 superfields. hep-th/0508187
63. de Wit B., Philippe R., and Van Proeyen A. The improved tensor multiplet in N = 2 supergravity. Nucl. Phys. B 219 (1983) 143
64. Lindstrom U., and Roček M. Scalar tensor duality and N = 1, 2 nonlinear sigma models. Nucl. Phys. B 222 (1983) 285
65. Galperin A., Ivanov E., and Ogievetsky V. Superspace actions and duality transformations for N = 2 tensor multiplets. Sov. J. Nucl. Phys. 45 (1987) 157
66. Galperin A., Ivanov E., and Ogievetsky V. Duality transformations and most general matter self-coupling in N = 2 supersymmetry. Nucl. Phys. B 282 (1987) 74
67. Kuzenko S.M. On massive tensor multiplets. JHEP 0501 (2005) 041. hep-th/0412190
68. de Wit B., Grisaru M.T., and Roček M. Nonholomorphic corrections to the one-loop N = 2 super-Yang-Mills action. Phys. Lett. B 374 (1996) 297. hep-th/9601115
69. Buchbinder I.L., Kuzenko S.M., and Tseytlin A.A. On low-energy effective actions in N = 2, 4 superconformal theories in four dimensions. Phys. Rev. D 62 (2000) 045001. hep-th/9911221
70. Henningson M. Extended superspace, higher derivatives and SL ( 2, Z ) duality. Nucl. Phys. B 458 (1996) 445. hep-th/9507135
71. Gates S.J., and Kuzenko S.M. The CNM-hypermultiplet nexus. Nucl. Phys. B 543 (1999) 122. hep-th/9810137
72. Gates 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
73. Dragon N., Ivanov E., Kuzenko S., Sokatchev E., and Theis U. N = 2 rigid supersymmetry with gauged central charge. Nucl. Phys. B 538 (1999) 411. hep-th/9805152
74. de Wit B., Kleijn B., and Vandoren S. Rigid N = 2 superconformal hypermultiplets. In: Wess J., and Ivanov E.A. (Eds). Supersymmetries and Quantum Symmetries (1999), Springer, Berlin 37. hep-th/9808160
75. de Wit B., Kleijn B., and Vandoren S. Superconformal hypermultiplets. Nucl. Phys. B 568 (2000) 475. hep-th/9909228
76. Kaledin D. Hyper-Kähler structures on total spaces of holomorphic cotangent bundles. In: Kaledin D., and Verbitsky M. (Eds). Hyper-Kähler Manifolds (1999), International Press, Cambridge, MA. alg-geom/9710026
77. B. Feix, Hyper-Kähler metrics on cotangent bundles, Cambridge PhD thesis, 1999
78. Feix B. J. Reine Angew. Math. 532 (2001) 33
79. Bagger J., and Xiong C. N = 2 nonlinear sigma models in N = 1 superspace: Four and five dimensions. hep-th/0601165