On five-dimensional superspaces

Journal of High Energy Physics

Volumn , Issue 2, 2006, Pages 038-

  Kuzenko, Sergei M ^a   Linch III, William D ^b  

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

^b Bldg 142   (United States)

Author keywords

Extended Supersymmetry; Field Theories in Higher Dimensions; Superspaces; Supersymmetry Phenomenology

Indexed keywords

EID: 33644756527     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/02/038     Document Type: Article

References (88)

1. I. Antoniadis, A possible new dimension at a few TeV 1990 Phys. Lett. B 246 377
2. P. Horava and E. Witten, Eleven-dimensional supergravity on a manifold with boundary 1996 Nucl. Phys. B 475 94 [hep-th/9603142]
3. P. Horava, Gluino condensation in strongly coupled heterotic string theory 1996 Phys. Rev. D 54 7561 [hep-th/9608019]
4. G.R. Dvali and M.A. Shifman, Dynamical compactification as a mechanism of spontaneous supersymmetry breaking 1997 Nucl. Phys. B 504 127 [hep-th/9611213]
5. L. Randall and R. Sundrum, Out of this world supersymmetry breaking 1999 Nucl. Phys. B 557 79 [hep-th/9810155]
6. G.F. Giudice, M.A. Luty, H. Murayama and R. Rattazzi, Gaugino mass without singlets 1998 J. High Energy Phys. JHEP12(1998)027 [hep-ph/9810442]
7. Z. Chacko and M.A. Luty, Radion mediated supersymmetry breaking 2001 J. High Energy Phys. JHEP05(2001)067 [hep-ph/0008103]
8. T. Gregoire, R. Rattazzi and C.A. Scrucca, D-type supersymmetry breaking and brane-to-brane gravity mediation [hep-ph/0505126]
9. R. Rattazzi, C.A. Scrucca and A. Strumia, Brane to brane gravity mediation of supersymmetry breaking 2003 Nucl. Phys. B 674 171 [hep-th/0305184]
10. W.D. Linch III, M.A. Luty and J. Phillips, Five dimensional supergravity in N ≤ 1 superspace 2003 Phys. Rev. D 68 025008 [hep-th/0209060]
11. I.L. Buchbinder, S.J. Gates, H.S.J. Goh, W.D. Linch III, M.A. Luty, S.P. Ng and J. Phillips, Supergravity loop contributions to brane world supersymmetry breaking 2004 Phys. Rev. D 70 025008 [hep-th/0305169]
12. T. Gregoire, R. Rattazzi, C.A. Scrucca, A. Strumia and E. Trincherini, Gravitational quantum corrections in warped supersymmetric brane worlds 2005 Nucl. Phys. B 720 3 [hep-th/0411216]
13. S.J. Gates, M.T. Grisaru, M. Rocek and W. Siegel, Superspace, or one thousand and one lessons in supersymmetry 1983 Front. Phys. 58 1 [hep-th/0108200]
14. I.L. Buchbinder and S.M. Kuzenko, Ideas and methods of supersymmetry and supergravity or a walk through superspace IOP, Bristol 1998
15. P. Breitenlohner and A. Kabelschacht, The auxiliary fields of N ≤ 2 extended supergravity in 5 and 6 space-time dimensions 1979 Nucl. Phys. B 148 96
16. P.S. Howe, Off-shell N ≤ 2 and N ≤ 4 supergravity in five-dimensions in Quantum structure of space and time M.J. Duff and C.J. Isham eds., 1982 (Cambridge University Press, Cambridge)
17. P.S. Howe and U. Lindström, The supercurrent in five-dimensions 1981 Phys. Lett. B 103 422
18. M. Zucker, Minimal off-shell supergravity in five dimensions 2000 Nucl. Phys. B 570 267 [hep-th/9907082]
19. M. Zucker, Gauged N ≤ 2 off-shell supergravity in five dimensions 2000 J. High Energy Phys. JHEP08(2000)016 [hep-th/9909144]
20. M. Zucker, Supersymmetric brane world scenarios from off-shell supergravity 2001 Phys. Rev. D 64 024024 [hep-th/0009083]
21. M. Zucker, Off-shell supergravity in five-dimensions and supersymmetric brane world scenarios 2003 Fortschr. Phys. 51 899
22. T. Kugo and K. Ohashi, Off-shell D ≤ 5 supergravity coupled to matter-Yang-Mills system 2001 Prog. Theor. Phys. 105 323 [hep-ph/0010288]
23. T. Fujita and K. Ohashi, Superconformal tensor calculus in five dimensions 2001 Prog. Theor. Phys. 106 221 [hep-th/0104130]
24. T. Fujita, T. Kugo and K. Ohashi, Off-shell formulation of supergravity on orbifold 2001 Prog. Theor. Phys. 106 671 [hep-th/0106051]
25. T. Kugo and K. Ohashi, Superconformal tensor calculus on orbifold in 5d 2002 Prog. Theor. Phys. 108 203 [hep-th/0203276]
26. E. Bergshoeff et al., Superconformal N ≤ 2, D ≤ 5 matter with and without actions 2002 J. High Energy Phys. JHEP10(2002)045 [hep-th/0205230]
27. E. Bergshoeff et al., N ≤ 2 supergravity in five dimensions revisited 2004 Class. Quantum Grav. 21 3015 [hep-th/0403045]
28. F. Paccetti Correia, M.G. Schmidt and Z. Tavartkiladze, Superfield approach to 5d conformal sugra and the radion 2005 Nucl. Phys. B 709 141 [hep-th/0408138]
29. F.P. Correia, M.G. Schmidt and Z. Tavartkiladze, The radion in 5d conformal sugra: superspace action 2005 Fortschr. Phys. 53 592 [hep-th/0501209]
30. A. Galperin, E. Ivanov, S. Kalitsyn, V. Ogievetsky and E. Sokatchev, Unconstrained N ≤ 2 matter, Yang-Mills and supergravity theories in harmonic superspace 1984 Class. Quantum Grav. 1 469
31. A.S. Galperin, E.A. Ivanov, V.I. Ogievetsky and E.S. Sokatchev, Harmonic superspace 2001 (Cambridge University Press, Cambridge)
32. E. Sokatchev, Off-shell six-dimensional supergravity in harmonic superspace 1988 Class. Quantum Grav. 5 1459
33. A. Karlhede, U. Lindström and M. Rocek, Selfinteracting tensor multiplets in N ≤ 2 superspace 1984 Phys. Lett. B 147 297
34. U. Lindström and M. Rocek, New hyperkahler metrics and new supermultiplets 1988 Comm. Math. Phys. 115 21
35. U. Lindström and M. Rocek, N ≤ 2 super Yang-Mills theory in projective superspace 1990 Comm. Math. Phys. 128 191
36. F. Gonzalez-Rey, M. Rocek, S. Wiles, U. Lindström and R. von Unge, Feynman rules in N ≤ 2 projective superspace, I. Massless hypermultiplets 1998 Nucl. Phys. B 516 426 [hep-th/9710250]
37. S.M. Kuzenko, Projective superspace as a double-punctured harmonic superspace 1999 Int. J. Mod. Phys. A 14 1737 [hep-th/9806147]
38. B. Zupnik, Harmonic superpotentials and symmetries in gauge theories with eight supercharges 1999 Nucl. Phys. B 554 365 [hep-th/9902038]
39. B. Zupnik, erratum 2002 Nucl. Phys. B 644 405
40. J. Wess and J. Bagger, Supersymmetry and supergravity (Princeton University Press), Princeton 1992
41. J. Bagger and D.V. Belyaev, Supersymmetric branes with (almost) arbitrary tensions 2003 Phys. Rev. D 67 025004 [hep-th/0206024]
42. A.A. Rosly, Super Yang-Mills constraints as integrability conditions in Group theoretical methods in physics M.A. Markov ed., 1983 (Nauka, Moscow)
43. A.A. Rosly, Gauge fields in superspace and twistors 1985 Class. Quantum Grav. 2 693
44. A.A. Rosly and A.S. Schwarz, Supersymmetry in a space with auxiliary dimensions 1986 Comm. Math. Phys. 105 645
45. B.M. Zupnik, The action of the supersymmetric N ≤ 2 gauge theory in harmonic superspace 1987 Phys. Lett. B 183 175
46. P. Fayet, Fermi-Bose hypersymmetry 1976 Nucl. Phys. B 113 135
47. M.F. Sohnius, Supersymmetry and central charges 1978 Nucl. Phys. B 138 109
48. I.L. Buchbinder, E.I. Buchbinder, S.M. Kuzenko and B.A. Ovrut, The background field method for N ≤ 2 super Yang-Mills theories in harmonic superspace 1998 Phys. Lett. B 417 61 [hep-th/9704214]
49. I.L. Buchbinder, S.M. Kuzenko and B.A. Ovrut, On the D ≤ 4, N ≤ 2 non-renormalization theorem 1998 Phys. Lett. B 433 335 [hep-th/9710142]
50. I.L. Buchbinder, E.I. Buchbinder, E.A. Ivanov, S.M. Kuzenko and B.A. Ovrut, Effective action of the N ≤ 2 Maxwell multiplet in harmonic superspace 1997 Phys. Lett. B 412 309 [hep-th/9703147]
51. I.L. Buchbinder and S.M. Kuzenko, The off-shell massive hypermultiplets revisited 1997 Class. Quantum Grav. 14 L157 [hep-th/9704002]
52. N. Dragon and S.M. Kuzenko, The Higgs mechanism in N ≤ 2 superspace 1997 Nucl. Phys. B 508 229 [hep-th/9705027]
53. E.A. Ivanov, S.V. Ketov and B.M. Zupnik, Induced hypermultiplet self-interactions in N ≤ 2 gauge theories 1998 Nucl. Phys. B 509 53 [hep-th/9706078]
54. N. Ohta, H. Sugata and H. Yamaguchi, N ≤ 2 harmonic superspace with central charges and its application to selfinteracting massive hypermultiplets 1986 Ann. Phys. (NY) 172 26
55. M. Henningson, Extended superspace, higher derivatives and SL(2,ℤ) duality, 1996 Nucl. Phys. B 458 445 [hep-th/9507135]
56. N. Dragon, S.M. Kuzenko and U. Theis, The vector-tensor multiplet in harmonic superspace 1998 Eur. Phys. J. C 4 717 [hep-th/9706169]
57. N. Dragon, E. Ivanov, S. Kuzenko, E. Sokatchev and U. Theis, N ≤ 2 rigid supersymmetry with gauged central charge 1999 Nucl. Phys. B 538 411 [hep-th/9805152]
58. S.M. Kuzenko and S. Theisen, Correlation functions of conserved currents in N ≤ 2 superconformal theory 2000 Class. Quantum Grav. 17 665 [hep-th/9907107]
59. R. Grimm, M. Hasler and C. Herrmann, The N ≤ 2 vector-tensor multiplet, central charge superspace and Chern-Simons couplings 1998 Int. J. Mod. Phys. A 13 1805 [hep-th/9706108]
60. I. Buchbinder, A. Hindawi and B.A. Ovrut, A two-form formulation of the vector-tensor multiplet in central charge superspace 1997 Phys. Lett. B 413 79 [hep-th/9706216]
61. M. Sohnius, K.S. Stelle and P.C. West, Off mass shell formulation of extended supersymmetric gauge theories 1980 Phys. Lett. B 92 123
62. M.F. Sohnius, K.S. Stelle and P.C. West, Dimensional reduction by legendre transformation generates off-shell supersymmetric Yang-Mills theories 1980 Nucl. Phys. B 173 127
63. B. de Wit, V. Kaplunovsky, J. Louis and D. Lüst, Perturbative couplings of vector multiplets in N ≤ 2 heterotic string vacua 1995 Nucl. Phys. B 451 53 [hep-th/9504006]
64. N. Dragon and S.M. Kuzenko, Self-interacting vector-tensor multiplet 1998 Phys. Lett. B 420 64 [hep-th/9709088]
65. E. Ivanov and E. Sokatchev, On non-linear superfield versions of the vector-tensor multiplet 1998 Phys. Lett. B 429 35 [hep-th/9711038]
66. P. Claus, B. de Wit, M. Faux, B. Kleijn, R. Siebelink and P. Termonia, The vector-tensor supermultiplet with gauged central charge 1996 Phys. Lett. B 373 81 [hep-th/9512143]
67. N. Arkani-Hamed, T. Gregoire and J. Wacker, Higher dimensional supersymmetry in 4d superspace 2002 J. High Energy Phys. JHEP03(2002)055 [hep-th/0101233]
68. D. Marti and A. Pomarol, Supersymmetric theories with compact extra dimensions in N ≤ 1 superfields 2001 Phys. Rev. D 64 105025 [hep-th/0106256]
69. A. Hebecker, 5d super Yang-Mills theory in 4-d superspace, superfield brane operators and applications to orbifold guts 2002 Nucl. Phys. B 632 101 [hep-ph/0112230]
70. H.M. Farkas and I. Kra, Riemann surfaces Springer, New-York 1992
71. S.J. Gates Jr., T. Hübsch and S.M. Kuzenko, CNM models, holomorphic functions and projective superspace c-maps 1999 Nucl. Phys. B 557 443 [hep-th/9902211]
72. S. Cecotti, S. Ferrara and L. Girardello, Geometry of type-II superstrings and the moduli of superconformal field theories 1989 Int. J. Mod. Phys. A 4 2475
73. G. Sierra and P.K. Townsend, An introduction to N ≤ 2 rigid supersymmetry in Supersymmetry and supergravity 1983 B. Milewski ed., 1983 (World Scientific, Singapore)
74. B. de Wit, P.G. Lauwers, R. Philippe, S.Q. Su and A. Van Proeyen, Gauge and matter fields coupled to N ≤ 2 supergravity 1984 Phys. Lett. B 134 37
75. S.J. Gates Jr., Superspace formulation of new nonlinear sigma models 1984 Nucl. Phys. B 238 349
76. S.J. Gates Jr. and S.M. Kuzenko, The CNM-hypermultiplet nexus 1999 Nucl. Phys. B 543 122 [hep-th/9810137]
77. S.J. Gates Jr. and S.M. Kuzenko, 4d N ≤ 2 supersymmetric off-shell sigma models on the cotangent bundles of Kähler manifolds 2000 Fortschr. Phys. 48 115 [hep-th/9903013]
78. B. Zumino, Supersymmetry and Kähler manifolds 1979 Phys. Lett. B 87 203
79. S.M. Kuzenko, unpublished
80. D. Kaledin, Hyperkähler structures on total spaces of holomorphic cotangent bundles in D. Kaledin and M. Verbitsky, Hyperkähler manifolds 1999 (International Press, Cambridge) [alg-geom/9710026]
81. A canonical hyperkähler metric on the total space of a cotangent bundle in Quaternionic structures in mathematics and physics S. Marchiafava, P. Piccinni and M. Pontecorvo eds., 2001 (World Scientific, Singapore) [alg-geom/0011256]
82. B. Feix, Hyperkähler metrics on cotangent bundles Cambridge PhD thesis, 1999, 2001 J. Reine Angew. Math. 532 33
83. N. Seiberg, Five dimensional SUSY field theories, non-trivial fixed points and string dynamics 1996 Phys. Lett. B 388 753 [hep-th/9608111]
84. D.R. Morrison and N. Seiberg, Extremal transitions and five-dimensional supersymmetric field theories 1997 Nucl. Phys. B 483 229 [hep-th/9609070]
85. K.A. Intriligator, D.R. Morrison and N. Seiberg, Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces 1997 Nucl. Phys. B 497 56 [hep-th/9702198]
86. N. Ohta, Dipole mechanism of spontaneous breaking of N ≤ 2 supersymmetry, 2. Reformulation and generalization in harmonic superspace 1985 Phys. Rev. D 32 1467
87. S.J. Gates Jr., S. Penati and G. Tartaglino-Mazzucchelli, 6d supersymmetry, projective superspace and 4d, N ≤ 1 superfields [hep-th/0508187]
88. M. Rocek, C. Vafa and S. Vandoren, Hypermultiplets and topological strings [hep-th/0512206]