Hypermultiplets, hyper-Kähler cones and quaternion-Kähler geometry

Journal of High Energy Physics

Volumn 5, Issue 2, 2001, Pages

  De Wit, Bernard ^a   Roček, Martin ^b   Vandoren, Stefan ^b  

^a UTRECHT UNIVERSITY   (Netherlands)

^b STONY BROOK UNIVERSITY   (United States)

Author keywords

Extended Supersymmetry; Supergravity Models

Indexed keywords

EID: 22144490649     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (58)

1. M. Atiyah and N. Hitchin, The Geometry and Dynamics of Magnetic Monopoles, Princeton University Press, Princeton 1988.
2. M.F. Atiyah, N.J. Hitchin, V.G. Drinfeld and Y.I. Manin, Construction of instantons, Phys. Lett. A 65 (1978) 185.
3. L. Alvarez-Gaume and D.Z. Freedman, Geometrical structure and ultraviolet finiteness in the supersymmetric sigma model, Comm. Math. Phys. 80 (1981) 443.
4. J.D. Jaegher, B. de Wit, B. Kleijn and S. Vandoren, Special geometry in hypermultiplets, Nucl. Phys. B 514 (1998) 553 [hep-th/9707262].
5. J. Bagger and E. Witten, Matter couplings in N = 2 supergravity, Nucl. Phys. B 222 (1983) 1.
6. 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
7. S. Ferrara and S. Sabharwal, Quaternionic manifolds for type II superstring vacua of Calabi-Yau spaces, Nucl. Phys. B 332 (1990) 317.
8. A. Strominger, Loop corrections to the universal hypermultiplet, Phys. Lett. B 421 (1998) 139 [hep-th/9706195]
9. E. Kiritsis and C. Kounnas, Infrared regularization of superstring theory and the one loop calculation of coupling constants, Nucl. Phys. B 442 (1995) 472 [hep-th/9501020]
10. 4 couplings in M- and type II theories on Calabi-Yau spaces, Nucl. Phys. B 507 (1997) 571 [hep-th/9707013]
11. H. Gunther, C. Herrmann and J. Louis, Quantum corrections in the hypermultiplet moduli space, Fortsch. Phys. 48 (2000) 119 [hep-th/9901137].
12. K. Becker, M. Becker and A. Strominger, Five-branes, membranes and nonperturbative string theory, Nucl. Phys. B 456 (1995) 130 [hep-th/9507158]
13. H. Ooguri and C. Vafa, Summing up D instantons, Phys. Rev. Lett. 77 (1996) 3296, [hep-th/9608079]
14. K. Becker and M. Becker, Instanton action for type II hypermultiplets, Nucl. Phys. B 551 (1999) 102 [hep-th/9901126]
15. M. Gutperle and M. Spalinski, Supergravity instantons and the universal hypermultiplet, J. High Energy Phys. 06 (2000) 037 [hep-th/0005068]
16. M. Gutperle and M. Spalinski, Supergravity instantons for N = 2 hypermultiplets, hep-th/0010192
17. S.V. Ketov, Gravitational dressing of d-instantons, hep-th/0010255.
18. B. de Wit, J.W. van Holten and A.V. Proeyen, Transformation rules of N = 2 supergravity multiplets, Nucl. Phys. B 167 (1980) 186
19. B. de Wit, P.G. Lauwers and A.V. Proeyen, Lagrangians of N = 2 supergravity matter systems, Nucl. Phys. B 255 (1985) 569.
20. B. de Wit, B. Kleijn and S. Vandoren, Rigid N = 2 superconformal hypermultiplets, in Supersymmetries and Quantum Symmetries, Lecture Notes in Physics, vol. 524, Springer 1999 hep-th/9808160.
21. B. de Wit, B. Kleijn and S. Vandoren, Superconformal hypermultiplets, Nucl. Phys. B 568 (2000) 475 [hep-th/9909228].
22. A. Swann, HyperKähler and quaternionic Kähler geometry, Math. Ann., 289 (1991) 421.
23. K. Galicki, Geometry of the scalar couplings in N = 2 supergravity models, Class, and Quant. Grav. 9 (1992) 27.
24. P.S. Howe, A. Opfermann and G. Papadopoulos, Twistor spaces for QKT manifolds, Comm. Math. Phys. 197 (1998) 713 [hep-th/9710072].
25. S.M. Salamon, Quaternionic Kähler manifolds, Invent. Math., 67 (1982) 143.
26. A. Karlhede, U. Lindstrom and M. Rocek, Selfinteracting tensor multiplets in N = 2 superspace, Phys. Lett. B 147 (1984) 297.
27. N.J. Hitchin, A. Karlhede, U. Lindstrom and M. Rocek, Hyperkahler metrics and super symmetry, Comm. Math. Phys. 108 (1987) 535.
28. B. de Wit, M. Roček and S. Vandoren, in preparation.
29. G.W. Gibbons and P. Rychenkova, Cones, tri-sasakian structures and superconformai invariance, Phys. Lett. B 443 (1998) 138 [hep-th/9809158].
30. C.P. Boyer and K. Galicki, 3-Sasakian manifolds, hep-th/9810250.
31. J. Marsden and A. Weinstein, Reduction of symplectic manifolds with symmetry, Rep. Math. Phys., 5 (1974) 121
32. U. Lindström and M. Roček, Scalar tensor duality and N = 1, N = 2 nonlinear sigma models, Nucl. Phys. B 222 (1983) 285
33. B. de Wit, F. Vanderseypen and A.V. Proeyen, Symmetry structure of special geometries, Nucl. Phys. B 400 (1993) 463 [hep-th/9210068].
34. B. de Wit, R. Philippe and A.V. Proeyen, The improved tensor multiplet in N = 2 supergravity, Nucl. Phys. B 219 (1983) 143.
35. J. Wolf, Complex homogeneous contact manifolds and quaternionic symmetric spaces, J. Math. Mech., 14 (1965) 1033
36. R. Gilmore, Lie Groups, Lie Algebras and Some of Their Applications, Wiley eds 1974.
37. P. Kobak and A. Swann, Hyper-Kähler potentials in cohomogeneity two, math. DG/0001024.
38. P. Breitenlohner and M.F. Sohnius, Matter coupling and nonlinear sigma models in N = 2 supergravity, Nucl. Phys. B 187 (1981) 409.
39. K. Galicki, Quaternionic kahler and hyperkahler nonlinear sigma models, Nucl. Phys. B 271 (1986) 402
40. A generalization of the momentum mapping construction for quaternionic kahler manifolds, Comm. Math. Phys. 108 (1987) 117.
41. N. Berkovits and W. Siegel, Superspace effective actions for 4D compactifications of heterotic and type II superstrings, Nucl. Phys. B 462 (1996) 213 [hep-th/9510106]
42. W. Siegel, Curved extended superspace from Yang-Mills theory a la strings, Phys. Rev. D 53 (1996) 3324 [hep-th/9510150].
43. S. Vandoren, Instantons and quaternions, hep-th/0009150.
44. A. Maciocia, Metrics on the moduli spaces of instantons over euclidean four space, Comm. Math. Phys. 135 (1991) 467.
45. S.V. Ketov, Superconformal hyper-multiplets in superspace, Nucl. Phys. B 582 (2000) 95 [hep-th/0001109]
46. E. Ivanov and G. Valent, Quaternionic metrics from harmonic superspace: lagrangian approach and quotient construction, Nucl. Phys. B 576 (2000) 543 [hep-th/0001165].
47. N. Seiberg and S. Shenker, Hypermultiplet moduli space and string compactification to three dimensions, Phys. Lett. B 388 (1996) 521 [hep-th/9608086]
48. E. Witten, Heterotic string conformal field theory and a-d-e singularities, J. High Energy Phys. 02 (2000) 025 [hep-th/9909229]
49. M. Rozali, Hypermultiplet moduli space and three dimensional gauge theories, J. High Energy Phys. 12 (1999) 013 [hep-th/9910238].
50. N. Seiberg and E. Witten, Gauge dynamics and compactification to three dimensions, hep-th/9607163
51. N. Dorey, V.V. Khoze, M.P. Mattis, D. Tong and S. Vandoren, Instantons, three-dimensional gauge theory and the Atiyah- Hitchin manifold, Nucl. Phys. B 502 (1997) 59 [hep-th/9703228].
52. F. Gonzalez-Rey, M. Rocek, S. Wiles, U. Lindstrom and R. von Unge, Feynman rules in N = 2 protective superspace I: massless hyper-multiplets, Nucl. Phys. B 516 (1998) 426 [hep-th/9710250].
53. U. Lindström and M. Roček, New hyperkahler metrics and new supermultiplets, Comm. Math. Phys. 115 (1988) 21.
54. U. Lindström, M. Roček, N = 2 Super-Yang-Mills theory in protective superspace, Comm. Math. Phys. 128 (1990) 191.
55. I.T. Ivanov and M. Rocek, Supersymmetric sigma models, twistors and the Atiyah-Hitchin metric, Comm. Math. Phys. 182 (1996) 291 [hep-th/9512075].
56. C.M. Hull, A. Karlhede, U. Lindstrom and M. Rocek, Nonlinear sigma models and their gauging in and out of superspace, Nucl. Phys. B 266 (1986) 1.
57. P. Howe, A. Karlhede, U. Lindström and M. Roček, The geometry of duality, Phys. Lett. B 168 (1986) 89.
58. M. Rocek and E. Verlinde, Duality, quotients and currents, Nucl. Phys. B 373 (1992) 630 [hep-th/9110053].