Anomaly cancellation and smooth non-Kähler solutions in heterotic string theory

Nuclear Physics B

Volumn 751, Issue 1-2, 2006, Pages 108-128

  Becker, Katrin ^a,b   Becker, Melanie ^a,b   Fu, Ji Xiang ^c   Tseng, Li Sheng ^d,e   Yau, Shing Tung ^e  

^a TEXAS A AND M UNIVERSITY   (United States)

^b HARVARD UNIVERSITY   (United States)

^c FUDAN UNIVERSITY   (China)

^d UNIVERSITY OF UTAH   (United States)

^e HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33746211704     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2006.05.034     Document Type: Article

References (43)

1. Ovrut B.A. Lectures on heterotic M-theory. In: Gubser S.S., and Lykken J.D. (Eds). Strings, Branes and Extra Dimensions: TASI 2001: Proceedings (2004), World Scientific, New York 359. hep-th/0201032
2. Strominger A. Superstrings with torsion. Nucl. Phys. B 274 (1986) 253
3. Bars I. Compactification of superstrings and torsion. Phys. Rev. D 33 (1986) 383
4. Bars I., Nemeschansky D., and Yankielowicz S. Compactified superstrings and torsion. Nucl. Phys. B 278 (1986) 632
5. Hull C.M. Sigma model beta functions and string compactifications. Nucl. Phys. B 267 (1986) 266
6. Hull C.M., and Witten E. Supersymmetric sigma models and the heterotic string. Phys. Lett. B 160 (1985) 398
7. Michelsohn M.L. On the existence of special metrics in complex geometry. Acta Math. 149 (1982) 261
8. Ivanov S., and Papadopoulos G. Vanishing theorems and string backgrounds. Class. Quantum Grav. 18 (2001) 1089. math.DG/0010038
9. Cardoso G.L., Curio G., Dall'Agata G., Lust D., Manousselis P., and Zoupanos G. Non-Kaehler string backgrounds and their five torsion classes. Nucl. Phys. B 652 (2003) 5. hep-th/0211118
10. Gauntlett J.P., Martelli D., and Waldram D. Superstrings with intrinsic torsion. Phys. Rev. D 69 (2004) 086002. hep-th/0302158
11. Li J., and Yau S.T. The existence of supersymmetric string theory with torsion. J. Differential Geom. 70 (2005) 143. hep-th/0411136
12. Becker K., and Tseng L.-S. Heterotic flux compactifications and their moduli. Nucl. Phys. B 741 (2006) 162. hep-th/0509131
13. Dasgupta K., Rajesh G., and Sethi S. M theory, orientifolds and G-flux. JHEP 9908 (1999) 023. hep-th/9908088
14. Becker K., and Dasgupta K. Heterotic strings with torsion. JHEP 0211 (2002) 006. hep-th/0209077
15. Becker K., Becker M., Dasgupta K., and Green P.S. Compactifications of heterotic theory on non-Kähler complex manifolds: I. JHEP 0304 (2003) 007. hep-th/0301161
16. Becker K., Becker M., Green P.S., Dasgupta K., and Sharpe E. Compactifications of heterotic strings on non-Kähler complex manifolds: II. Nucl. Phys. B 678 (2004) 19. hep-th/0310058
17. Fu J.-X., and Yau S.-T. The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampére equation. hep-th/0604063
18. Gukov S., Vafa C., and Witten E. CFT's from Calabi-Yau four-folds. Nucl. Phys. B 584 (2000) 69. hep-th/9906070
19. Gukov S., Vafa C., and Witten E. Nucl. Phys. B 608 (2001) 477 Erratum
20. Giddings S.B., Kachru S., and Polchinski J. Hierarchies from fluxes in string compactifications. Phys. Rev. D 66 (2002) 106006. hep-th/0105097
21. Bilal A., and Metzger S. Anomaly cancellation in M-theory: A critical review. Nucl. Phys. B 675 (2003) 416. hep-th/0307152
22. Green M.B., and Schwarz J.H. Anomaly cancellation in supersymmetric D = 10 gauge theory and superstring theory. Phys. Lett. B 149 (1984) 117
23. Griffiths P., and Harris J. Principles of Algebraic Geometry (1994), Wiley-Interscience, New York
24. Goldstein E., and Prokushkin S. Geometric model for complex non-Kähler manifolds with SU (3) structure. Commun. Math. Phys. 251 (2004) 65. hep-th/0212307
25. Sharpe E. Lectures on D-branes and sheaves. hep-th/0307245
26. Gauduchon P. La 1-forme de torsion d'une variété hermitienne compacte (Torsion 1-forms of compact Hermitian manifolds). Math. Ann. 267 4 (1984) 495
27. Li J., and Yau S.-T. Hermitian-Yang-Mills connection on non-Kähler manifolds. In: Yau T. (Ed). Mathematical Aspects of String Theory vol. 560 (1987), World Scientific, London
28. Lübke M., and Teleman A. The Kobayashi-Hitchin Correspondence (1995), World Scientific, River Edge, NJ
29. Verbitsky M. Stable bundles on positive principal elliptic fibrations. Math. Res. Lett. 12 (2005) 251. math.AG/0403430
30. Becker K., and Becker M. M-theory on eight-manifolds. Nucl. Phys. B 477 (1996) 155. hep-th/9605053
31. Duff M.J., Liu J.T., and Minasian R. Eleven-dimensional origin of string/string duality: A one-loop test. Nucl. Phys. B 452 (1995) 261. hep-th/9506126
32. Hull C.M. Anomalies, ambiguities and superstrings. Phys. Lett. B 167 (1986) 51
33. Sen A. (2, 0) supersymmetry and space-time supersymmetry in the heterotic string theory. Nucl. Phys. B 278 (1986) 289
34. Distler J., and Greene B.R. Aspects of (2, 0) string compactifications. Nucl. Phys. B 304 (1988) 1
35. Yau S.-T. On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampére equations. I. Commun. Pure Appl. Math. 31 (1978) 339
36. Lang S. Real and Functional Analysis. third ed. (1983), Springer-Verlag, New York
37. Gilbarg D., and Trudinger N.S. Elliptic Partial Differential Equations of Second Order (1983), Springer-Verlag, New York
38. Jost J. Postmodern Analysis (1998), Springer-Verlag, New York
39. Mukai S. Moduli of vector bundles on K3 surfaces, and symplectic manifolds. Sugaku Expositions 1 (1988) 139
40. Yoshioka K. Irreducibility of moduli spaces of vector bundles on K3 surfaces. math.AG/9907001
41. Greene B.R., Shapere A.D., Vafa C., and Yau S.T. Stringy cosmic strings and noncompact Calabi-Yau manifolds. Nucl. Phys. B 337 (1990) 1
42. Strominger A., Yau S.T., and Zaslow E. Mirror symmetry is T-duality. Nucl. Phys. B 479 (1996) 243. hep-th/9606040
43. Aspinwall P.S., and Kallosh R. Fixing all moduli for M-theory on K 3 × K 3. JHEP 0510 (2005) 001. hep-th/0506014