Geometric model for complex non-kähler manifolds with SU (3) structure

Communications in Mathematical Physics

Volumn 251, Issue 1, 2004, Pages 65-78

  Goldstein, Edward ^a   Prokushkin, Sergey ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 7544236586     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-004-1167-7     Document Type: Article

References (38)

1. Becker, K., Dasgupta, K.: Heterotic Strings with Torsion. JHEP 0211, 006 (2002)
2. Kachru, S., Schulz, M.B., Tripathy, P.K., Trivedi, S.P.: New Supersymmetric String Compactifications. JHEP 0303, 061 (2003)
3. Gurrieri, S., Louis, J., Micu, A., Waldram, D.: Mirror Symmetry in Generalized Calabi-Yau Compactifications. Nucl. Phys. B 654, 61-113 (2003)
4. Cardoso, G.L., Curio, G., Dall'Agata, G., Luest, D., Manousselis, P., Zoupanos, G.: Non-Kaehler String Backgrounds and their Five Torsion Classes. Nucl. Phys. B 652, 5-34 (2003)
5. Gurrieri, S., Micu, A.: Type IIB Theory on Half-flat Manifolds. Class. Quant. Grav. 20, 2181-2192 (2003)
6. Becker, K., Becker, M., Dasgupta, K., Green, P.: Compactifications of Heterotic Theory on Non-Kähler complex manifolds I. hep-th/0301161
7. Tripathy, P.K., Trivedi, S.P.: Compactifications with Flux on K3 and Tori. JHEP 0303, 028 (2003)
8. Fino, A., Grantcharov, G.: On some properties of the manifolds with skew-symmetric torsion and holonomy SU(n) and Sp(n). http://arxiv.org/abs/math.DG/0302358, 2003
9. Gauduchon, P.: Hermitian connections and Dirac operators. Boll. Un. Mat. Ital. B (7) 11(2 suppl.), 257-288 (1997)
10. Strominger, A.: Superstrings with torsion. Nucl. Phys. B274 253 (1986)
11. Kachru, S., Schulz, M., Trivedi, S.: Moduli Stabilization from Fluxes in a Simple IIB Orientifold. JHEP 0310, 001 (2003)
12. Scherk, J., Schwarz, J.H.: How To Get Masses From Extra Dimensions. Nucl. Phys. B 153, 61 (1979)
13. Hull, C.M.: Superstring Compactifications With Torsion And Space-Time Supersymmetry. In: Turin 1985, Proceedings, Superunification and Extra Dimensions. Singapore: World Scientific Publishers, 1986, pp. 347-375
14. Falcitelli, M., Farinola, A., Salamon, S.: Almost-Hermitian Geometry. Diff. Geom. Appl. 4, 259 (1994)
15. Kaloper, N., Myers, R.C.: The O(dd) story of massive supergravity. JHEP 9905, 010 (1999)
16. Vafa, C.: Superstrings and topological strings at large N. J. Math. Phys. 42, 2798 (2001)
17. Joyce, D.: Compact Manifolds with Special Holonomy. Oxford: Oxford University Press, 2000
18. Friedrich, T., Ivanov, S.: Parallel spinors and connections with skew-symmetric torsion in string theory. Asian J. Math. 6, 303-336 (2002)
19. Salamon, S.: Complex structures on nilpotent Lie algebras. J. Pure Appl. Algebra 157, 311-333 (2001)
20. Dasgupta, K., Rajesh, G., Sethi, S.: M Theory, Orientifolds and G-Flux. JHEP 9908, 023 (1999)
21. Salamon, S.: Almost Parallel Structures. Global Differential Geometry: The Mathematical Legacy of Alfred Gray (Bilbao, 2000). Contemp. Math. 288 162-181 (2001)
22. 2 Structures. In: Differential geometry, Valencia, 2001, Singapore: World Scientific, 2002, pp. 115-123
23. Rocek, M.: Modified Calabi-Yau manifolds with torsion. In: S.T. Yau (ed.), Essays on Mirror Manifolds, Hong Kong: International Press, 1992; Gates, S.J., Hull, Rocek, M.: Twisted Multiplets And New Supersymmetric Nonlinear Sigma Models. Nucl. Phys. B248, 157 (1984); Lyakhovich, S., Zabzine, M.: Poisson geometry of sigma models with extended supersymmetry. Phys. Lett. B 548, 243 (2002)
24. Rocek, M.: Modified Calabi-Yau manifolds with torsion. In: S.T. Yau (ed.), Essays on Mirror Manifolds, Hong Kong: International Press, 1992; Gates, S.J., Hull, Rocek, M.: Twisted Multiplets And New Supersymmetric Nonlinear Sigma Models. Nucl. Phys. B248, 157 (1984); Lyakhovich, S., Zabzine, M.: Poisson geometry of sigma models with extended supersymmetry. Phys. Lett. B 548, 243 (2002)
25. Rocek, M.: Modified Calabi-Yau manifolds with torsion. In: S.T. Yau (ed.), Essays on Mirror Manifolds, Hong Kong: International Press, 1992; Gates, S.J., Hull, Rocek, M.: Twisted Multiplets And New Supersymmetric Nonlinear Sigma Models. Nucl. Phys. B248, 157 (1984); Lyakhovich, S., Zabzine, M.: Poisson geometry of sigma models with extended supersymmetry. Phys. Lett. B 548, 243 (2002)
26. Ivanov, S., Papadopoulos, G.: Vanishing theorems and string backgrounds. Class. Quant. Grav. 18, 1089 (2001); A no-go theorem for string warped Compactifications. Phys. Lett. B497, 309 (2001); Papadopoulos, G.: KT and HKT geometries in strings and in black hole moduli spaces. http://ar-xiv.org/abs/hep-th/0201111, (2002); Gutowski, J., Ivanov, S., Papadopoulos, G.: Deformations of generalized calibrations and compact non-Kähler manifolds with vanishing first Chern class. Asian J. Math. 7, 39-80 (2003)
27. Ivanov, S., Papadopoulos, G.: Vanishing theorems and string backgrounds. Class. Quant. Grav. 18, 1089 (2001); A no-go theorem for string warped Compactifications. Phys. Lett. B497, 309 (2001); Papadopoulos, G.: KT and HKT geometries in strings and in black hole moduli spaces. http://ar-xiv.org/abs/hep-th/0201111, (2002); Gutowski, J., Ivanov, S., Papadopoulos, G.: Deformations of generalized calibrations and compact non-Kähler manifolds with vanishing first Chern class. Asian J. Math. 7, 39-80 (2003)
28. Ivanov, S., Papadopoulos, G.: Vanishing theorems and string backgrounds. Class. Quant. Grav. 18, 1089 (2001); A no-go theorem for string warped Compactifications. Phys. Lett. B497, 309 (2001); Papadopoulos, G.: KT and HKT geometries in strings and in black hole moduli spaces. http://ar-xiv.org/abs/hep-th/0201111, (2002); Gutowski, J., Ivanov, S., Papadopoulos, G.: Deformations of generalized calibrations and compact non-Kähler manifolds with vanishing first Chern class. Asian J. Math. 7, 39-80 (2003)
29. Ivanov, S., Papadopoulos, G.: Vanishing theorems and string backgrounds. Class. Quant. Grav. 18, 1089 (2001); A no-go theorem for string warped Compactifications. Phys. Lett. B497, 309 (2001); Papadopoulos, G.: KT and HKT geometries in strings and in black hole moduli spaces. http://ar-xiv.org/abs/hep-th/0201111, (2002); Gutowski, J., Ivanov, S., Papadopoulos, G.: Deformations of generalized calibrations and compact non-Kähler manifolds with vanishing first Chern class. Asian J. Math. 7, 39-80 (2003)
30. Gauntlett, J.P., Kim, N.W., Martelli, D., Waldram, D.: Fivebranes wrapped on SLAG three-cycles and related geometry. JHEP 0111, 018 (2001); Gauntlett, J.P., Martelli, D., Pakis, S., Waldram, D.: G-structures and wrapped NS5-branes. Commun. Math. Phys. 247, 421-445 (2004)
31. Gauntlett, J.P., Kim, N.W., Martelli, D., Waldram, D.: Fivebranes wrapped on SLAG three-cycles and related geometry. JHEP 0111, 018 (2001); Gauntlett, J.P., Martelli, D., Pakis, S., Waldram, D.: G-structures and wrapped NS5-branes. Commun. Math. Phys. 247, 421-445 (2004)
32. Kaste, P., Minasian, R., Petrini, M., Tomasiello, A.: Kaluza-Klein bundles and manifolds of exceptional holonomy. JHEP 0209, 033 (2002)
33. Hellerman, S., McGreevy, J., Williams, B.: Geometric Constructions of Nongeometric String Theories. JHEP 0401, 024 (2004)
34. Calabi, E.: A class of compact, complex manifolds which are not algebraic. Ann. Math. (2) 58, 494-500 (1953)
35. Hitchin, N.: Stable forms and special metrics. In: Global Differential Geometry: The mathematical legacy of Alfred Gray. Providence, RI: AMS, 2001, pp. 70-89
36. Fino, A., Parton, M., Salamon, S.: Families of strong KT structures in six dimensions. Commen. Math. Helv. 79, 317-340 (2004)
37. Griffiths, P., Harris, J.: Principles of Algebraic geometry. New York: Wiley and Sons, 1978
38. Husemoller, D.: Fiber bundles, 3rd edn. Springer Graduate Texts in Mathematics, Berlin-Heidelberg-New York: Springer