Superconformal N = 2, D = 5 matter with and without actions

Journal of High Energy Physics

Volumn 6, Issue 10, 2002, Pages 1013-1077

  Bergshoeff, Eric ^a   De Wit, Tim ^a   Halbersma, Rein ^a   Cucu, Sorin ^b   Gheerardyn, Jos ^b   Van Proeyen, Antoine ^b   Vandoren, Stefan ^c  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

^b UNIVERSITY OF LEUVEN   (Belgium)

^c UTRECHT UNIVERSITY   (Netherlands)

Author keywords

Conformal and W Symmetry; Extended Supersymmetry, Supergravity Models

Indexed keywords

EID: 23044496314     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2002/10/045     Document Type: Article

References (95)

1. M. Günaydin and M. Zagermann, The gauging of five-dimensional, N = 2 Maxwell-einstein supergravity theories coupled to tensor multiplets, Nucl. Phys. B 572 (2000) 131 [hep-th/9912027].
2. A. Ceresole and G. Dall'Agata, General matter coupled N = 2, D = 5 gauged supergravity, Nucl. Phys. B 585 (2000) 143 [hep-th/0004111].
3. M. Günaydin, G. Sierra and P.K. Townsend, The geometry of N = 2 Maxwell-einstein supergravity and Jordan algebras, Nucl. Phys. B 242 (1984) 244.
4. M. Günaydin, G. Sierra and P.K. Townsend, Gauging the D = 5 Maxwell-einstein supergravity theories: more on Jordan algebras, Nucl. Phys. B 253 (1985) 573.
5. N. Arkani-Hamed, S. Dimopoulos and G.R. Dvali, The hierarchy problem and new dimensions at a millimeter, Phys. Lett. B 429 (1998) 263 [hep-ph/9803315].
6. I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos and G.R. Dvali, New dimensions at a millimeter to a fermi and superstrings at a TeV, Phys. Lett. B 436 (1998) 257 [hep-ph/9804398].
7. L. Randall and R. Sundrum, An alternative to compactification, Phys. Rev. Lett. 83 (1999) 4690 [hep-th/9906064].
8. L. Randall and R. Sundrum, A large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83 (1999) 3370 [hep-ph/9905221].
9. R. Kallosh and A.D. Linde, Supersymmetry and the brane world, J. High Energy Phys. 02 (2000) 005 [hep-th/0001071].
10. K. Behrndt and M. Cvetič, Anti-de Sitter vacua of gauged supergravities with 8 supercharges, Phys. Rev. D 61 (2000) 101901 [hep-th/0001159].
11. E. Bergshoeff, R. Kallosh and A. Van Proeyen, Supersymmetry in singular spaces, J. High Energy Phys. 10 (2000) 033 [hep-th/0007044].
12. K. Behrndt, C. Herrmann, J. Louis and S. Thomas, Domain walls in five dimensional supergravity with non-trivial hypermultiplets, J. High Energy Phys. 01 (2001) 011 [hep-th/0008112].
13. K. Behrndt and M. Cvetič, Gauging of N = 2 supergravity hypermultiplet and novel renormalization group flows, Nucl. Phys. B 609 (2001) 183 [hep-th/0101007].
14. K. Behrndt, S. Gukov and M. Shmakova, Domain walls, black holes and supersymmetric quantum mechanics, Nucl. Phys. B 601 (2001) 49 [hep-th/0101119].
15. A. Ceresole, G. Dall'Agata, R. Kallosh and A. Van Proeyen, Hypermultiplets, domain walls and supersymmetric attractors, Phys. Rev. D 64 (2001) 104006 [hep-th/0104056].
16. D.V. Alekseevsky, V. Cortes, C. Devchand and A. Van Proeyen, Flows on quaternionic-kaehler and very special real manifolds, hep-th/0109094.
17. G. Lopes Cardoso, G. Dall'Agata and D. Lüst, Curved BPS domain wall solutions in five-dimensional gauged supergravity, J. High Energy Phys. 07 (2001) 026 [hep-th/0104156].
18. A.H. Chamseddine and W.A. Sabra, Curved domain walls of five dimensional gauged supergravity, Nucl. Phys. B 630 (2002) 326 [hep-th/0105207].
19. A.H. Chamseddine and W.A. Sabra, Einstein brane-worlds in 5d gauged supergravity, Phys. Lett. B 517 (2001) 184 [hep-th/0106092].
20. G.L. Cardoso, G. Dall'Agata and D. Lüst, Curved BPS domain walls and rg flow in five dimensions, J. High Energy Phys. 03 (2002) 044 [hep-th/0201270].
21. K. Behrndt and G. Dall'Agata, Vacua of N = 2 gauged supergravity derived from non-homogenous quaternionic spaces, Nucl. Phys. B 627 (2002) 357 [hep-th/0112136].
22. M. Nishimura, Conformal supergravity from the AdS/CFT correspondence, Nucl. Phys. B 588 (2000) 471 [hep-th/0004179].
23. R. D'Auria, S. Ferrara and S. Vaula, Matter coupled f(4) supergravity and the AdS(6)/CFT(5) correspondence, J. High Energy Phys. 10 (2000) 013 [hep-th/0006107].
24. R. Kallosh, A.D. Linde, S. Prokushkin and M. Shmakova, Gauged supergravities, de Sitter space and cosmology, Phys. Rev. D 65 (2002) 105016 [hep-th/0110089].
25. P.K. Townsend, Quintessence from M-theory, J. High Energy Phys. 11 (2001) 042 [hep-th/0110072].
26. M. Kaku, P.K. Townsend and P. van Nieuwenhuizen, Gauge theory of the conformal and superconformal group, Phys. Lett. B 69 (1977) 304.
27. S. Ferrara, M. Kaku, P.K. Townsend and P. van Nieuwenhuizen, Gauging the graded conformal group with unitary internal symmetries, Nucl. Phys. B 129 (1977) 125.
28. M. Kaku and P.K. Townsend, Poincaré supergravity as broken superconformal gravity, Phys. Lett. B 76 (1978) 54.
29. M. Kaku, P.K. Townsend and P. van Nieuwenhuizen, Properties of conformal supergravity, Phys. Rev. D 17 (1978) 3179.
30. B. de Wit, B. Kleijn and S. Vandoren, Superconformal hypermultiplets, Nucl. Phys. B 568 (2000) 475 [hep-th/9909228].
31. B. de Wit, M. Roček and S. Vandoren, Hypermultiplets, hyperkaehler cones and quaternion-kaehler geometry, J. High Energy Phys. 02 (2001) 039 [hep-th/0101161].
32. E. Bergshoeff et al., Weyl multiplets of N = 2 conformal supergravity in five dimensions, J. High Energy Phys. 06 (2001) 051 [hep-th/0104113].
33. T. Fujita and K. Ohashi, Superconformal tensor calculus in five dimensions, Prog. Theor. Phys. 106 (2001) 221 [hep-th/0104130].
34. T. Kugo and K. Ohashi, Supergravity tensor calculus in 5d from 6d, Prog. Theor. Phys. 104 (2000) 835 [hep-ph/0006231].
35. T. Kugo and K. Ohashi, Off-shell D = 5 supergravity coupled to matter- Yang-Mills system, Prog. Theor. Phys. 105 (2001) 323 [hep-ph/0010288].
36. M. Zucker, Minimal off-shell supergravity in five dimensions, Nucl. Phys. B 570 (2000) 267 [hep-th/9907082].
37. M. Zucker, Gauged N = 2 off-shell supergravity in five dimensions, J. High Energy Phys. 08 (2000) 016 [hep-th/9909144].
38. T. Kugo and K. Ohashi, Superconformal tensor calculus on orbifold in 5d, Prog. Theor. Phys. 108 (2002) 203 [hep-th/0203276].
39. A. Van Proeyen, Special geometries, from real to quaternionic, in the proceedings of the Workshop on special geometric structures in string theory, Bonn, September 8-11, 2001 Electronic Library of Mathematics http://www.emis.de/proceedings/SGSST2001/ [hep-th/0110263].
40. N. Seiberg and E. Witten, Electric-magnetic duality, monopole condensation and confinement in N = 2 supersymmetric Yang-Mills theory, Nucl. Phys. B 426 (1994) 19 [hep-th/9407087].
41. N. Seiberg and E. Witten, Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD, Nucl. Phys. B 431 (1994) 484 [hep-th/9408099].
42. B. de Wit, P.G. Lauwers, R. Philippe, S.Q. Su and A. Van Proeyen, Gauge and matter fields coupled to N = 2 supergravity, Phys. Lett. B 134 (1984) 37.
43. B. de Wit and A. Van Proeyen, Potentials and symmetries of general gauged N = 2 supergravity - Yang-Mills models, Nucl. Phys. B 245 (1984) 89.
44. G. Sierra and P. K. Townsend, An introduction to N = 2 rigid supersymmetry, in Supersymmetry and Supergravity 1983, B. Milewski ed., World Scientific, Singapore, 1983.
45. S.J. Gates Jr., Superspace formulation of new nonlinear sigma models, Nucl. Phys. B 238 (1984) 349.
46. N. Seiberg, Observations on the moduli space of superconformal field theories, Nucl. Phys. B 303 (1988) 286.
47. S. Cecotti, S. Ferrara and L. Girardello, Geometry of type-II superstrings and the moduli of superconformal field theories, Int. J. Mod. Phys. A 4 (1989) 2475.
48. S. Ferrara and A. Strominger, N = 2 space-time supersymmetry and Calabi-Yau moduli space, in Strings '89, R. Arnowitt, R. Bryan, M.J. Duff, D.V. Nanopoulos and C.N. Pope eds., World Scientific, Singapore, 1989, p. 245.
49. P. Candelas and X. de la Ossa, Moduli space of Calabi-Yau manifolds, Nucl. Phys. B 355 (1991) 455.
50. P. Candelas, X.C. De la Ossa, P.S. Green and L. Parkes, An exactly soluble superconformal theory from a mirror pair of Calabi-Yau manifolds, Phys. Lett. B 258 (1991) 118.
51. A. Strominger, Special geometry, Commun. Math. Phys. 133 (1990) 163.
52. R. Kallosh, A.D. Linde, T. Ortin, A. Peet and A. Van Proeyen, Supersymmetry as a cosmic censor, Phys. Rev. D 46 (1992) 5278 [hep-th/9205027].
53. S. Ferrara, R. Kallosh and A. Strominger, N=2 extremal black holes, Phys. Rev. D 52 (1995) 5412 [hep-th/9508072].
54. O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111].
55. A.C. Cadavid, A. Ceresole, R. D'Auria and S. Ferrara, Eleven-dimensional supergravity compactified on Calabi-Yau threefolds, Phys. Lett. B 357 (1995) 76 [hep-th/9506144].
56. B. de Wit and A. Van Proeyen, Broken sigma model isometries in very special geometry, Phys. Lett. B 293 (1992) 94 [hep-th/9207091].
57. B. de Wit and A. Van Proeyen, Special geometry, cubic polynomials and homogeneous quaternionic spaces, Commun. Math. Phys. 149 (1992) 307 [hep-th/9112027].
58. V. Cortés, Alekseevskian spaces, Differ. Geom. Appl. 6 (1996) 129.
59. J.R. Ellis, M. Günaydin and M. Zagermann, Options for gauge groups in five-dimensional supergravity, J. High Energy Phys. 11 (2001) 024 [hep-th/0108094].
60. L. Andrianopoli, F. Cordaro, P. Fre' and L. Gualtieri, Non-semisimple gaugings of D = 5 N = 8 supergravity and fdas, Class. and Quant. Grav. 18 (2001) 395 [hep-th/0009048].
61. A. Van Proeyen, Tools for supersymmetry, Annals of the University of Craiova, Physics AUC 9 (part I) (1999) 1 [hep-th/9910030].
62. E. Sezgin and Y. Tanii, Superconformal sigma models in higher than two-dimensions, Nucl. Phys. B 443 (1995) 70 [hep-th/9412163].
63. B. de Wit, B. Kleijn and S. Vandoren, Rigid N = 2 superconformal hypermultiplets, in Supersymmetries and Quantum Symmetries, proc. Int. Sem. Dubna (1997), eds. J. Wess and E.A. Ivanov, Lecture Notes in Physics eds., Vol. 524, Springer, 1999, p. 37 hep-th/9808160.
64. J. Michelson and A. Strominger, The geometry of (super)conformal quantum mechanics, Commun. Math. Phys. 213 (2000) 1 [hep-th/9907191].
65. P.K. Townsend, K. Pilch and P. van Nieuwenhuizen, Selfduality in odd dimensions, Phys. Lett. B 136 (1984) 38.
66. J.F. Cornwell, Group theory in physics: an introduction. San Diego, USA: Academic, 1997.
67. A. Van Proeyen, The scalars of N = 2, D = 5 and attractor equations, in New developments in fundamental interaction theories, AIP proceedings, Karpacz Winter School, 589, 2001, pp. 31-45, J. Lukierski and J. Rembieliński eds., hep-th/0105158.
68. M. Obata, Affine connections on manifolds with almost complex, quaternionic or hermitean structure, Jap. J. Math. 26 (1956) 43
69. B. de Wit, J.W. van Holten and A. Van Proeyen, Central charges and conformal supergravity, Phys. Lett. B 95 (1980) 51.
70. M. Günaydin, G. Sierra and P.K. Townsend, More on D = 5 Maxwell-einstein supergravity: symmetric spaces and kinks, Class. and Quant. Grav. 3 (1986) 763.
71. A. Swann, HyperKähler and quaternionic Kähler geometry, Math. Ann. 289 (1991) 421.
72. R. D'Auria, S. Ferrara and P. Fre, Special and quaternionic isometrics: general couplings in N = 2 supergravity and the scalar potential, Nucl. Phys. B 359 (1991) 705.
73. L. Andrianopoli et al., N = 2 supergravity and N = 2 super Yang-Mills theory on general scalar manifolds: symplectic covariance, gaugings and the momentum map, J. Geom. Phys. 23 (1997) 111 [hep-th/9605032].
74. B. de Wit, M. Roc̈ek and S. Vandoren, Gauging isometries on hyperkaehler cones and quaternion- kaehler manifolds, Phys. Lett. B 511 (2001) 302 [hep-th/0104215].
75. S. Ferrara, L. Girardello, T. Kugo and A. Van Proeyen, Relation between different auxiliary field formulations of N = 1 supergravity coupled to matter, Nucl. Phys. B 223 (1983) 191.
76. H. Nishino and S. Rajpoot, Alternative N = 2 supergravity in five dimensions with singularities, Phys. Lett. B 502 (2001) 246 [hep-th/0011066].
77. L. Alvarez-Gaumé and D.Z. Freedman, Geometrical structure and ultraviolet finiteness in the supersymmetric sigma model, Commun. Math. Phys. 80 (1981) 443.
78. J. Bagger and E. Witten, Matter couplings in N = 2 supergravity, Nucl. Phys. B 222 (1983) 1.
79. J. De Jaegher, B. de Wit, B. Kleijn and S. Vandoren, Special geometry in hypermultiplets, Nucl. Phys. B 514 (1998) 553 [hep-th/9707262].
80. T. Fujita, T. Kugo and K. Ohashi, Off-shell formulation of supergravity on orbifold, Prog. Theor. Phys. 106 (2001) 671 [hep-th/0106051].
81. S. Salamon, Differential geometry of quaternionic manifolds, Ann. Scient. EC. Norm. Sup., 4ème serie 19 (1986) 31.
82. D. V. Alekseevsky and S. Marchiafava, Quaternionic structures on a manifold and subordinated structures, Ann. Matem. Pura Appl. 171 (1996) 205.
83. P. Spindel, A. Sevrin, W. Troost and A. Van Proeyen, Extended supersymmetric sigma models on group manifolds. 1. the complex structures, Nucl. Phys. B 308 (1988) 662.
84. D. Joyce, Compact hypercomplex and quaternionic manifolds, J. Diff. Geom. 35 (1992) 743.
85. M.L. Barberis and I. Dotti-Miatello, Hypercomplex structures on a class of solvable Lie groups, Quart. J. Math. Oxford Ser. 47 (1996) 389
86. G. Gentili, S. Marchiafava and M. Pontecorvo, eds., Quaternionic structures in mathematics and physics, 1996, proceedings of workshop in Trieste, September 1994, available on http://www.emis.de/proceedings/QSMP94/.
87. S. Marchiafava, P. Piccinni and M. Pontecorvo, eds., Quaternionic structures in mathematics and physics, world scientific, 2001, proceedings of workshop in Roma, September 1999 available on http://www.univie.ac.at/EMIS/ proceedings/QSMP99/.
88. H. Pedersen, Y. a Poon and A. a Swann, Hypercomplex structures associated to quaternionic manifolds, Differ. Geom. Appl. 9 (1998) 273.
89. H. Pedersen, Hypercomplex geometry, in Quaternionic structures in mathematics and physics, world scientific 2001, S. Marchiafava, P. Piccinni and M. Pontecorvo eds., available on http://www.univie.ac.at/EMIS/proceedings/ QSMP99/.
90. V. Oproiu, Almost quaternal structures, An. st. Univ. Iaşi 23 (1977) 287.
91. R.A. Coles and G. Papadopoulos, The geometry of the one-dimensional supersymmetric nonlinear sigma models, Class. and Quant. Grav. 7 (1990) 427.
92. G.W. Gibbons, G. Papadopoulos and K.S. Stelle, Hkt and okt geometries on soliton black hole moduli spaces, Nucl. Phys. B 508 (1997) 623 [hep-th/9706207].
93. G. Papadopoulos, Kt and hkt geometries in strings and in black hole moduli spaces, in the proceedings of the Workshop on Special Geometric Structures in String Theory, Bonn, September 8-11, 2001 Electronic Library of Mathematics http://www.emis.de/proceedings/SGSST2001/ [hep-th/0201111].
94. D.V. Alekseevsky, Classification of quaternionic spaces with a transitive solvable group of motions, Math. USSR Izv. 9 (1975) 297.
95. K. Galicki, A generalization of the momentum mapping construction for quaternionic Kähler manifolds, Commun. Math. Phys. 108 (1987) 117.