The spinorial geometry of supersymmetric heterotic string backgrounds

Journal of High Energy Physics

Volumn , Issue 2, 2006, Pages 063-

  Gran, Ulf ^a   Lohrmann, Philipp ^b   Papadopoulos, George ^b  

^a UNIVERSITY OF LEUVEN   (Belgium)

^b KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

Flux compactifications; Supergravity Models; Superstring Vacua; Superstrings and Heterotic Strings

Indexed keywords

EID: 33644766856     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/02/063     Document Type: Article

References (68)

1. J. Gates, S. J., C.M. Hull and M. Rocek, Twisted multiplets and new supersymmetric nonlinear sigma models 1984 Nucl. Phys. B 248 157
2. P.S. Howe and G. Sierra, Two-dimensional supersymmetric nonlinear sigma models with torsion 1984 Phys. Lett. B 148 451
3. P.S. Howe and G. Papadopoulos, Ultraviolet behavior of two-dimensional supersymmetric nonlinear sigma models 1987 Nucl. Phys. B 289 264
4. P.S. Howe and G. Papadopoulos, Further remarks on the geometry of two-dimensional nonlinear sigma models 1988 Class. Quantum Grav. 5 1647
5. R.A. Coles and G. Papadopoulos, The geometry of the one-dimensional supersymmetric nonlinear sigma models 1990 Class. Quantum Grav. 7 427
6. A. Strominger, Superstrings with torsion 1986 Nucl. Phys. B 274 253
7. C.M. Hull, Compactifications of the heterotic superstring 1986 Phys. Lett. B 178 357
8. G. Papadopoulos and A.A. Tseytlin, Complex geometry of conifolds and 5-brane wrapped on 2-sphere 2001 Class. Quantum Grav. 18 1333 [hep-th/0012034]
9. C.G. Callan Jr., J.A. Harvey and A. Strominger, Supersymmetric string solitons [hep-th/9112030]
10. P.S. Howe and G. Papadopoulos, Finiteness and anomalies in (4,0) supersymmetric sigma models 1992 Nucl. Phys. B 381 360 [hep-th/9203070]
11. J. Gillard, G. Papadopoulos and D. Tsimpis, Anomaly, fluxes and (2,0) heterotic-string compactifications 2003 J. High Energy Phys. JHEP06(2003)035 [hep-th/0304126]
12. G.L. Cardoso, G. Curio, G. Dall'Agata and D. Lüst, BPS action and superpotential for heterotic string compactifications with fluxes 2003 J. High Energy Phys. JHEP10(2003)004 [hep-th/0306088]
13. P.S. Howe and G. Papadopoulos, Twistor spaces for HKT manifolds 1996 Phys. Lett. B 379 80 [hep-th/9602108]
14. P.S. Howe, A. Opfermann and G. Papadopoulos, Twistor spaces for QKT manifolds 1998 Comm. Math. Phys. 197 713 [hep-th/9710072]
15. G. Grantcharov and Y.S. Poon, Geometry of hyper-Kähler connections with torsion 2000 Comm. Math. Phys. 213 19 [math.DG/9908015]
16. S. Ivanov and G. Papadopoulos, A no-go theorem for string warped compactifications 2001 Phys. Lett. B 497 309 [hep-th/0008232]
17. Vanishing theorems and string backgrounds 2001 Class. Quantum Grav. 18 1089 [math.dg/0010038]
18. J. Gutowski, S. Ivanov and G. Papadopoulos, Deformations of generalized calibrations and compact non-Kähler manifolds with vanishing first Chern class 2003 Asian J. Math. 7 39-80 [math.dg/0205012]
19. A. Fino, M. Parton, S. Salamon, Families of strong KT structures in six dimensions [math.DG/0209259]
20. E. Goldstein and S. Prokushkin, Geometric model for complex non-Kähler manifolds with SU(3) structure, 2004 Comm. Math. Phys. 251 65 [hep-th/0212307]
21. D. Grantcharov, G. Grantcharov, Y.S. Poon, Calabi-Yau connections with torsion on toric bundles [math.DG/0306207]
22. G.W. Gibbons, G. Papadopoulos and K.S. Stelle, HKT and OKT geometries on soliton black hole moduli spaces 1997 Nucl. Phys. B 508 623 [hep-th/9706207]
23. J. Michelson and A. Strominger, Superconformal multi-black hole quantum mechanics 1999 J. High Energy Phys. JHEP09(1999)005 [hep-th/9908044]
24. A. Maloney, M. Spradlin and A. Strominger, Superconformal multi-black hole moduli spaces in four dimensions 2002 J. High Energy Phys. JHEP04(2002)003 [hep-th/9911001]
25. J. Gutowski and G. Papadopoulos, The dynamics of very special black holes 2000 Phys. Lett. B 472 45 [hep-th/9910022]
26. Moduli spaces for four-and five-dimensional black holes 2000 Phys. Rev. D 62 064023 [hep-th/0002242]
27. A. Gray and L.M. Hervella, The sixteen classes of almost hermitean manifolds and their linear invariants 1980 Ann. Mat. Pura e Appl. 282 1
28. T. Friedrich, S. Ivanov, Parallel spinors and connections with skew-symmetric torsion in string theory Asian Journal of Mathematics 6 (2002), 303-336 [math.DG/0102142]
29. 2-manifolds J. Geom. Phys. 48 (2003), 1-11 [math.DG/0112201]
30. S. Ivanov, Connection with torsion, parallel spinors and geometry of Spin(7) manifolds Math. Res. Lett. 11 (2004), no. 2-3, 171-186 [math.DG/0111216]
31. J.P. Gauntlett, D. Martelli, S. Pakis and D. Waldram, G-structures and wrapped NS5-branes 2004 Comm. Math. Phys. 247 421 [hep-th/0205050]
32. J.P. Gauntlett, D. Martelli and D. Waldram, Superstrings with intrinsic torsion 2004 Phys. Rev. D 69 086002 [hep-th/0302158]
33. G.L. Cardoso et al., Non-Kähler string backgrounds and their five torsion classes 2003 Nucl. Phys. B 652 5 [hep-th/0211118]
34. A. Franzen, P. Kaura, A. Misra and R. Ray, Uplifting the Iwasawa [hep-th/0506224]
35. J. Gillard, U. Gran and G. Papadopoulos, The spinorial geometry of supersymmetric backgrounds 2005 Class. Quantum Grav. 22 1033 [hep-th/0410155]
36. McKenzie Y. Wang, Parallel spinors and parallel forms Ann. Global Anal Geom. Vol 7, No 1 (1989), 59
37. B. de Wit and P. van Nieuwenhuizen, Rigidly and locally supersymmetric two-dimensional nonlinear sigma models with torsion 1989 Nucl. Phys. B 312 58
38. G.W. Delius, M. Rocek, A. Sevrin and P. van Nieuwenhuizen, Supersymmetric sigma models with nonvanishing nijenhuis tensor and their operator product expansion 1989 Nucl. Phys. B 324 523
39. U. Gran, G. Papadopoulos and D. Roest, Systematics of M-theory spinorial geometry 2005 Class. Quantum Grav. 22 2701 [hep-th/0503046]
40. U. Gran, J. Gutowski, G. Papadopoulos and D. Roest, Systematics of IIB spinorial geometry 2006 Class. Quantum Grav. 23 1617 [hep-th/0507087]
41. J.M. Figueroa-O'Farrill, Breaking the M-waves 2000 Class. Quantum Grav. 17 2925 [hep-th/9904124]
42. R. Bryant, Pseudo-riemannian metrics with parallel spinor fields and vanishing Ricci tensor [math.DG/0004073]
43. J. Figueroa-O'Farrill and G. Papadopoulos, Maximally supersymmetric solutions of ten- and eleven-dimensional supergravities 2003 J. High Energy Phys. JHEP03(2003)048 [hep-th/0211089]
44. J. Figueroa-O'Farrill and G. Papadopoulos, Pluecker-type relations for orthogonal planes [math.ag/0211170]
45. B. de Wit, D.J. Smit and N.D. Hari Dass, Residual supersymmetry of compactified D ≤ 10 supergravity 1987 Nucl. Phys. B 283 165
46. B. McInnes, Spin holonomy of Einstein manifolds 1999 Comm. Math. Phys. 203 349
47. A. Moroianu and U. Semmelmann, Parallel spinors and holonomy group [math.DG/9903062]
48. U. Gran, J. Gutowski and G. Papadopoulos, The spinorial geometry of supersymmetric IIB backgrounds 2005 Class. Quantum Grav. 22 2453 [hep-th/0501177]
49. 2 spinorial geometry of supersymmetric IIB backgrounds 2006 Class. Quantum Grav. 23 143 [hep-th/0505074]
50. G. Papadopoulos and D. Tsimpis, The holonomy of the supercovariant connection and Killing spinors 2003 J. High Energy Phys. JHEP07(2003)018 [hep-th/0306117]
51. M. Fernandez, A classification of Riemannian manifolds with structure Spin(7) 1982 Ann. Mat. Pura Appl. 143 101
52. F. Cabrera, Riemannian manifolds with Spin(7)-structure Publ. Math. Debrecen 46 (3-4) (1995), 271-283
53. 2-structures Diff. Geom. Valencia 2001, World Sci. 2002, 115 [math.DG/0202282]
54. F.M. Cabrera, Special almost hermitean geometry [math.DG/0409167]
55. S. Kobayashi and K. Nomizu, Foundations of differential geometry vol I, J. Wiley & Sons, New York-London 1963
56. 2," Ann. Mat. Pura Appl. (4) 32 (1982), 19-45
57. G. Papadopoulos, Rotating rotated branes 1999 J. High Energy Phys. JHEP04(1999)014 [hep-th/9902166]
58. J.P. Gauntlett, G.W. Gibbons, G. Papadopoulos and P.K. Townsend, Hyper-Kähler manifolds and multiply intersecting branes 1997 Nucl. Phys. B 500 133 [hep-th/9702202]
59. G. Papadopoulos and A. Teschendorff, Multi-angle five-brane intersections 1998 Phys. Lett. B 443 159 [hep-th/9806191]
60. G. Papadopoulos and A. Teschendorff, Grassmannians, calibrations and five-brane intersections 2000 Class. Quantum Grav. 17 2641 [hep-th/9811034]
61. G. Papadopoulos, Brane solitons and hypercomplex structures [math.DG/0003024]
62. A.H. Chamseddine and M.S. Volkov, Non-abelian vacua in D ≤ 5, N ≤ 4 gauged supergravity 2001 J. High Energy Phys. JHEP04(2001)023 [hep-th/0101202]
63. A.H. Chamseddine and M.S. Volkov, Non-abelian solitons in N ≤ 4 gauged supergravity and leading order string theory 1998 Phys. Rev. D 57 6242 [hep-th/9711181]
64. J.M. Maldacena and C. Nńñez, Towards the large-N limit of pure N ≤ 1 super Yang-Mills 2001 Phys. Rev. Lett. 86 588 [hep-th/0008001]
65. A. Dabholkar, G.W. Gibbons, J.A. Harvey and F. Ruiz Ruiz, Superstrings and solitons 1990 Nucl. Phys. B 340 33
66. P.S. Howe and G. Papadopoulos, Holonomy groups and W symmetries 1993 Comm. Math. Phys. 151 467 [hep-th/9202036]
67. H. Blaine Lawson and Marie-Louise Michelsohn, Spin geometry (Princeton University Press), 1989
68. F.R. Harvey, Spinors and calibrations (Academic Press, London), 1990