Heterotic resolved conifolds with torsion, from supergravity to CFT

Journal of High Energy Physics

Volumn 2010, Issue 1, 2010, Pages

  Carlevaro, L ^a   Israel D ^b  

^a CENTRE DE PHYSIQUE THÉORIQUE   (France)

^b INSTITUT D'ASTROPHYSIQUE DE PARIS   (France)

Author keywords

AdS CFT correspondence; Conformal field models in string theory; Flux compactifications; Superstrings and heterotic strings

Indexed keywords

EID: 77955000820     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP01(2010)083     Document Type: Article

References (83)

1. M. Graña, Flux compactifications in string theory: A comprehensive review, Phys. Rept. 423 (2006) 91 [hep-th/0509003]
2. A. Adams, M. Ernebjerg and J. M. Lapan, Linear models for flux vacua, Adv. Theor. Math. Phys. 12 (2008) 817 [hep-th/0611084]
3. A. Adams and J. M. Lapan, Computing the spectrum of a heterotic flux vacuum, arXiv:0908.4294
4. A. Strominger, Superstrings with torsion, Nucl. Phys. B 274 (1986) 253
5. C. M. Hull, Compactifications of the heterotic superstring, Phys. Lett. B 178 (1986) 357
6. K. Becker and K. Dasgupta, Heterotic strings with torsion, JHEP 11 (2002) 006 [hep-th/0209077]
7. G. Curio, A. Klemm, B. Körs and D. Lüst, Fluxes in heterotic and type-II string compactifications, Nucl. Phys. B 620 (2002) 237 [hep-th/0106155]
8. J. Louis and A. Micu, Heterotic string theory with background fluxes, Nucl. Phys. B 626 (2002) 26 [hep-th/0110187]
9. G. Lopes Cardoso, G. Curio, G. Dall'Agata and D. Lüst, BPS action and superpotential for heterotic string compactifications with fluxes, JHEP 10 (2003) 004 [hep-th/0306088]
10. K. Becker, M. Becker, K. Dasgupta and P. S. Green, Compactifications of heterotic theory on non-Kähler complex manifolds. I, JHEP 04 (2003) 007 [hep-th/0301161]
11. K. Becker, M. Becker, P. S. Green, K. Dasgupta and E. Sharpe, Compactifications of heterotic strings on non-Kähler complex manifolds. II, Nucl. Phys. B 678 (2004) 19 [hep-th/0310058]
12. K. Becker and L.-S. Tseng, Heterotic flux compactifications and their moduli, Nucl. Phys. B 741 (2006) 162 [hep-th/0509131]
13. I. Benmachiche, J. Louis and D. Martinez-Pedrera, The effective action of the heterotic string compactified on manifolds with SU (3) structure, Class. Quant. Grav. 25 (2008) 135006 [arXiv:0802.0410]
14. K. Dasgupta, G. Rajesh and S. Sethi, M-theory, orientifolds and G-flux, JHEP 08 (1999) 023 [hep-th/9908088]
15. E. Goldstein and S. Prokushkin, Geometric model for complex non-Kähler manifolds with SU (3) structure, Commun. Math. Phys. 251 (2004) 65 [hep-th/0212307]
16. M. Michelsohn, On the existence of special metrics in complex geometry, Acta Math. 149 (1982) 261.
17. S. Ivanov and G. Papadopoulos, Vanishing theorems and string backgrounds, Class. Quant. Grav. 18 (2001) 1089 [math. DG/0010038]
18. G. Lopes Cardoso et al., Non-Kähler string backgrounds and their five torsion classes, Nucl. Phys. B 652 (2003) 5 [hep-th/0211118]
19. J.-X. Fu and S.-T. Yau, The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampere equation, hep-th/0604063
20. K. Becker, M. Becker, J.-X. Fu, L.-S. Tseng and S.-T. Yau, Anomaly cancellation and smooth non-Kähler solutions in heterotic string theory, Nucl. Phys. B 751 (2006) 108 [hep-th/0604137]
21. J.-X. Fu, L.-S. Tseng and S.-T. Yau, Local heterotic torsional models, Commun. Math. Phys. 289 (2009) 1151 [arXiv:0806.2392]
22. M. Becker, L.-S. Tseng and S.-T. Yau, New heterotic non-Kähler geometries, arXiv:0807.0827
23. E. Witten, Small instantons in string theory, Nucl. Phys. B 460 (1996) 541 [hep-th/9511030]
24. 8 instantons and tensionless non-critical strings, Nucl. Phys. B 474 (1996) 122 [hep-th/9602120]
25. C. G. Callan Jr., J. A. Harvey and A. Strominger, World sheet approach to heterotic instantons and solitons, Nucl. Phys. B 359 (1991) 611
26. S. Kachru, N. Seiberg and E. Silverstein, SUSY gauge dynamics and singularities of 4D N = 1 string vacua, Nucl. Phys. B 480 (1996) 170 [hep-th/9605036]
27. S. Kachru and E. Silverstein, Chirality-changing phase transitions in 4D string vacua, Nucl. Phys. B 504 (1997) 272 [hep-th/9704185]
28. L. Carlevaro, D. Israel and P. M. Petropoulos, Double-scaling limit of heterotic bundles and dynamical deformation in CFT, Nucl. Phys. B 827 (2010) 503 [arXiv:0812.3391]
29. χSB-resolution of naked singularities, JHEP 08 (2000) 052 [hep-th/0007191]
30. S. B. Giddings, S. Kachru and J. Polchinski, Hierarchies from fluxes in string compactifications, Phys. Rev. D 66 (2002) 106006 [hep-th/0105097]
31. P. Candelas and X. C. de la Ossa, Comments on conifolds, Nucl. Phys. B 342 (1990) 246
32. 3 topology, Phys. Rev. D 63 (2001) 086006 [hep-th/0101043]
33. 1-wrapped D3-branes on conifolds, Nucl. Phys. B 633 (2002) 114 [hep-th/0202175]
34. S. Benvenuti, M. Mahato, L. A. Pando Zayas and Y. Tachikawa, The gauge/gravity theory of blown up four cycles, hep-th/0512061
35. p, q spaces, Class. Quant. Grav. 17 (2000) 5125 [hep-th/0007086]
36. A. A. Tseytlin, Effective action of gauged WZW model and exact string solutions, Nucl. Phys. B 399 (1993) 601 [hep-th/9301015]
37. I. Bars and K. Sfetsos, Exact effective action and space-time geometry n gauged WZW models, Phys. Rev. D 48 (1993) 844 [hep-th/9301047]
38. C. V. Johnson and H. G. Svendsen, An exact string theory model of closed time-like curves and cosmological singularities, Phys. Rev. D 70 (2004) 126011 [hep-th/0405141]
39. O. Aharony, M. Berkooz, D. Kutasov and N. Seiberg, Linear dilatons, NS5-branes and holography, JHEP 10 (1998) 004 [hep-th/9808149]
40. M. B. Green and J. H. Schwarz, Anomaly cancellation in supersymmetric D = 10 gauge theory and superstring theory, Phys. Lett. B 149 (1984) 117
41. CM. Hull, Anomalies, ambiguities and superstrings, Phys. Lett. B 167 (1986) 51
42. S. Salomon, Riemann geometry and holonomy groups, volume 201 of Pitman Research Notes in Mathematics, Longman, Harlow U. K. (1989)
43. [Acta Appl. Math. 20 (1990) 309].
44. D. Joyce, Compact manifolds with special holonomy, Oxford University Press, Oxford U. K. (2000).
45. J. P. Gauntlett, D. Martelli and D. Waldram, Superstrings with intrinsic torsion, Phys. Rev. D 69 (2004) 086002 [hep-th/0302158]
46. J. P. Gauntlett, N. Kim, D. Martelli and D. Waldram, Fivebranes wrapped on SLAG three-cycles and related geometry, JHEP 11 (2001) 018 [hep-th/0110034]
47. J. Gutowski and G. Papadopoulos, AdS calibrations, Phys. Lett. B 462 (1999) 81 [hep-th/9902034]
48. J. Gutowski, G. Papadopoulos and P. K. Townsend, Supersymmetry and generalized calibrations, Phys. Rev. D 60 (1999) 106006 [hep-th/9905156]
49. E. Witten, Global anomalies in string theory, to appear in Proceedings of Argonne Symposium on Geometry, Anomalies and Topology, Argonne U. S. A. March 28-30 1985
50. D. S. Freed, Determinants, torsion, and strings, Commun. Math. Phys. 107 (1986) 483
51. B. de Wit, D. J. Smit and N. D. Hari Dass, Residual supersymmetry of compactified D = 10 supergravity, Nucl. Phys. B 283 (1987) 165
52. J. P. Gauntlett, D. Martelli, S. Pakis and D. Waldram, G-structures and wrapped NS5-branes, Commun. Math. Phys. 247 (2004) 421 [hep-th/0205050]
53. n orbifolds, their U (1) bundles and applications to string model building, JHEP 03 (2007) 035 [hep-th/0701227]
54. M. Berkooz et al., Anomalies, dualities and topology of D = 6 N = 1 superstring vacua, Nucl. Phys. B 475 (1996) 115 [hep-th/9605184]
55. M. Bershadsky, C. Vafa and V. Sadov, D-strings on D-manifolds, Nucl. Phys. B 463 (1996) 398 [hep-th/9510225]
56. 3 topology, Phys. Rev. D 63 (2001) 086006 [hep-th/0101043]
57. S. Gukov, C. Vafa and E. Witten, CFT's from Calabi-Yau four-folds, Nucl. Phys. B 584 (2000) 69
58. [Erratum ibid. B 608 (2001) 477] [hep-th/9906070]
59. M. Graña, J. Louis and D. Waldram, Hitchin functionals in N = 2 supergravity, JHEP 01 (2006) 008 [hep-th/0505264]
60. P. Koerber and L. Martucci, From ten to four and back again: how to generalize the geometry, JHEP 08 (2007) 059 [arXiv:0707.1038]
61. C. Vafa, Superstrings and topological strings at large-N, J. Math. Phys. 42 (2001) 2798 [hep-th/0008142]
62. L. Martucci, D-branes on general N = 1 backgrounds: superpotentials and D-terms, JHEP 06 (2006) 033 [hep-th/0602129]
63. J. Maldacena and D. Martelli, The unwarped, resolved, deformed conifold: fivebranes and the baryonic branch of the Klebanov-Strassler theory, arXiv:0906.0591
64. C. V. Johnson, Exact models of extremal dyonic 4D black hole solutions of heterotic string theory, Phys. Rev. D 50 (1994) 4032 [hep-th/9403192]
65. A. Sen, The heterotic string in arbitrary background field, Phys. Rev. D 32 (1985) 2102
66. CM. Hull and E. Witten, Supersymmetric s-models and the heterotic string, Phys. Lett. B 160 (1985) 398
67. P. Berglund, C. V. Johnson, S. Kachru and P. Zaugg, Heterotic coset models and (0, 2) string vacua, Nucl. Phys. B 460 (1996) 252 [hep-th/9509170]
68. 3 and geometric cosets, Fortsch. Phys. 53 (2005) 73 [hep-th/0405213]
69. D. Gepner, Space-time supersymmetry in compactified string theory and superconformal models, Nucl. Phys. B 296 (1988) 757
70. 3 and the SL (2, R) WZW model. II: Euclidean black hole, J. Math. Phys. 42 (2001) 2961 [hep-th/0005183]
71. D. Israel, C. Kounnas, A. Pakman and J. Troost, The partition function of the supersymmetric two-dimensional black hole and little string theory, JHEP 06 (2004) 033 [hep-th/0403237]
72. V. Fateev, A. B. Zamolodchikov and A. B. Zamolodchikov, unpublished notes.
73. V. Kazakov, I. K. Kostov and D. Kutasov, A matrix model for the two-dimensional black hole, Nucl. Phys. B 622 (2002) 141 [hep-th/0101011]
74. K. Hori and A. Kapustin, Duality of the fermionic 2D black hole and N = 2 Liouville theory as mirror symmetry, JHEP 08 (2001) 045 [hep-th/0104202]
75. 2, Phys. Lett. B 408 (1997) 98 [hep-th/9705221]
76. M. Gremm and A. Kapustin, Heterotic little string theories and holography, JHEP 11 (1999) 018 [hep-th/9907210]
77. J. M. Maldacena and C. Núñez, Towards the large-N limit of pure N = 1 super Yang-Mills, Phys. Rev. Lett. 86 (2001) 588 [hep-th/0008001]
78. A. Giveon, D. Kutasov and O. Pelc, Holography for non-critical superstrings, JHEP 10 (1999) 035 [hep-th/9907178]
79. D. Israel, Non-critical string duals of N = 1 quiver theories, JHEP 04 (2006) 029 [hep-th/0512166]
80. Y. Kinar, E. Schreiber and J. Sonnenschein, Q anti-Q potential from strings in curved spacetime: classical results, Nucl. Phys. B 566 (2000) 103 [hep-th/9811192]
81. N. Seiberg, Electric-magnetic duality in supersymmetric non-Abelian gauge theories, Nucl. Phys. B 435 (1995) 129 [hep-th/9411149]
82. T. Eguchi and Y. Sugawara, Modular bootstrap for boundary N = 2 Liouville theory, JHEP 01 (2004) 025 [hep-th/0311141]
83. D. Israel, A. Pakman and J. Troost, Extended SL (2, R)/U (1) characters, or modular properties of a simple non-rational conformal field theory, JHEP 04 (2004) 043 [hep-th/0402085]