Geometry of type II common sector N = 2 backgrounds

Journal of High Energy Physics

Volumn 2006, Issue 6, 2006, Pages

  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: 33745739904     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/06/049     Document Type: Article

References (40)

1. U. Gran, P. Lohrmann and G. Papadopoulos, The spinorial geometry of supersymmetric heterotic string backgrounds 2006 J. High Energy Phys. JHEP02(2006)063 [hep-th/0510176]
2. J. Gillard, U. Gran and G. Papadopoulos, The spinorial geometry of supersymmetric backgrounds 2005 Class. Quantum Grav. 22 1033 [hep-th/0410155]
3. A. Strominger, Superstrings with torsion 1986 Nucl. Phys. B 274 253
4. C.M. Hull, Compactifications of the heterotic superstring 1986 Phys. Lett. B 178 357
5. 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]
6. C.G. Callan Jr., J.A. Harvey and A. Strominger, Supersymmetric string solitons [hep-th/9112030]
7. 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]
8. G. Lopes 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]
9. P.S. Howe and G. Papadopoulos, Twistor spaces for HKT manifolds 1996 Phys. Lett. B 379 80 [hep-th/9602108]
10. P.S. Howe, A. Opfermann and G. Papadopoulos, Twistor spaces for QKT manifolds 1998 Comm. Math. Phys. 197 713 [hep-th/9710072]
11. G. Grantcharov and Y. S. Poon, Geometry of hyper-Kähler connections with torsion 2000 Comm. Math. Phys. 213 19, [math.DG/9908015]
12. S. Ivanov and G. Papadopoulos, A no-go theorem for string warped compactifications 2001 Phys. Lett. B 497 309 [hep-th/0008232]
13. S. Ivanov and G. Papadopoulos, Vanishing theorems and string backgrounds 2001 Class. Quantum Grav. 18 1089 [math.dg/0010038]
14. 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]
15. A. Fino, M. Parton, S. Salamon, Families of strong KT structures in six dimensions [math.DG/0209259]
16. 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]
17. D. Grantcharov, G. Grantcharov, Y. S. Poon, Calabi-Yau connections with torsion on toric bundles [math.DG/0306207]
18. T. Friedrich, S. Ivanov, Parallel spinors and connections with skew-symmetric torsion in string theory 2003 Asian Journal of Mathematics 6 (2002), 303-336 [math.DG/0102142]
19. 2-manifolds J. Geom. Phys. 48 1-11 [math.DG/0112201]
20. S. Ivanov, Connection with torsion, parallel spinors and geometry of Spin(7) manifolds 2004 Math. Res. Lett. 11 no. 2-3, 171-186 [math.DG/0111216]
21. 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]
22. J.P. Gauntlett, D. Martelli and D. Waldram, Superstrings with intrinsic torsion 2004 Phys. Rev. D 69 086002 [hep-th/0302158]
23. G. Lopes Cardoso et al., Non-Kähler string backgrounds and their five torsion classes 2003 Nucl. Phys. B 652 5 [hep-th/0211118]
24. J.M. Figueroa-O'Farrill, Breaking the M-waves 2000 Class. Quantum Grav. 17 2925 [hep-th/9904124]
25. U. Gran, G. Papadopoulos and D. Roest, Systematics of M-theory spinorial geometry 2005 Class. Quantum Grav. 22 2701 [hep-th/0503046]
26. U. Gran, J. Gutowski, G. Papadopoulos and D. Roest, Systematics of IIB spinorial geometry 2006 Class. Quantum Grav. 23 1617 [hep-th/0507087]
27. A. Dabholkar, G.W. Gibbons, J.A. Harvey and F. Ruiz Ruiz, Superstrings and solitons 1990 Nucl. Phys. B 340 33
28. M.B. Green, J. H. Schwarz and E. Witten, Superstring theory vol. 1. Introduction Cambridge Monographs On Mathematical Physics, 1987
29. P.S. Howe and G. Papadopoulos, Holonomy groups and W symmetries 1993 Comm. Math. Phys. 151 467 [hep-th/9202036]
30. B. de Wit and P. van Nieuwenhuizen, Rigidly and locally supersymmetric two-dimensional nonlinear sigma models with torsion 1989 Nucl. Phys. B 312 58
31. 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
32. C.M. Hull, G. Papadopoulos and P.K. Townsend, Potentials for (p,0) and (1,1) supersymmetric sigma models with torsion 1993 Phys. Lett. B 316 291 [hep-th/9307013]
33. T.H. Buscher, A symmetry of the string background field equations 1987 Phys. Lett. B 194 59
34. J. Dai, R.G. Leigh and J. Polchinski, New connections between string theories 1989 Mod. Phys. Lett. A 4 2073
35. M. Dine, P.Y. Huet and N. Seiberg, Large and small radius in string theory 1989 Nucl. Phys. B 322 301
36. E. Bergshoeff, C.M. Hull and T. Ortin, Duality in the type-II superstring effective action 1995 Nucl. Phys. B 451 547 [hep-th/9504081]
37. B. de Wit, D.J. Smit and N.D. Hari Dass, Residual supersymmetry of compactified D ≤ 10 supergravity 1987 Nucl. Phys. B 283 165
38. 2-structures 2002 Differential Geometry (Valencia, 2001) (Singapore: World Scientific) p 115 [math.DG/0202282]
39. F.M. Cabrera, Special almost hermitean geometry [math.DG/0409167]
40. 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