Black holes in type IIA string on Calabi-Yau threefolds with affine ADE geometries and q-deformed 2d quiver gauge theories

Nuclear Physics B

Volumn 776, Issue 3, 2007, Pages 287-326

  Ahl Laamara, R ^a   Belhaj, A ^a,b,c   Drissi, L B ^a   Saidi, E H ^a,b,d  

^a FACULTÉ DES SCIENCES   (Morocco)

^b Focal Point   (Morocco)

^c UNIVERSITY OF ZARAGOZA   (Spain)

^d HASSAN II ACADEMY OF SCIENCE AND TECHNOLOGY   (Morocco)

Author keywords

Black holes in string theory; OSV conjecture; q Deformed 2d quiver gauge theory; Topological string theory

Indexed keywords

EID: 34250759961     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2007.03.047     Document Type: Article

References (52)

1. Ooguri H., Strominger A., and Vafa C. Black hole attractors and the topological string. Phys. Rev. D 70 (2004) 106007. hep-th/0405146
2. Vafa C. Two dimensional Yang-Mills, black holes and topological strings. hep-th/0406058
3. Gomez C., and Montanez S. A Comment on quantum distribution functions and the OSV conjecture. hep-th/0608162
4. Dabholkar A. Exact counting of black hole microstates. Phys. Rev. Lett. 94 (2005) 241-301. hep-th/0409148
5. Ooguri H., Vafa C., and Verlinde E. Hartle-Hawking wave-function for flux compactifications. Lett. Math. Phys. 74 (2005) 311-342. hep-th/0502211
6. Dijkgraaf R., Gopakumar R., Ooguri H., and Vafa C. Baby universes in string theory. Phys. Rev. D 73 (2006) 066002. hep-th/0504221
7. Aganagic M., Neitzke A., and Vafa C. BPS microstates and the open topological string wave function. hep-th/0504054
8. Gukov S., Saraikin K., and Vafa C. The entropic principle and asymptotic freedom. Phys. Rev. D 73 (2006) 066010. hep-th/0509109
9. 3 stringy cosmology. Nucl. Phys. B 748 (2006) 380-457. hep-th/0604204
10. Ahl Laamara R., Drissi L.B., and Saidi E.H. D-string fluid in conifold: I. Nucl. Phys. B 748 (2006) 380-457. hep-th/0604204
11. Ahl Laamara R., Drissi L.B., and Saidi E.H. D-string fluid in conifold: II. Nucl. Phys. B 749 (2006) 206-224. hep-th/0605209
12. Saidi E.H. Topological SL (2) gauge theory on conifold. hep-th/0601020
13. 2. hep-th/0608021
14. Shih D., and Yin X. Exact black hole degeneracies and the topological string. JHEP 0604 (2006) 034. hep-th/0508174
15. Gunaydin M., Neitzke A., Pioline B., and Waldron A. BPS black holes, quantum attractor flows and automorphic forms. Phys. Rev. D 73 (2006) 084019. hep-th/0512296
16. Verlinde E.P. Attractors and the holomorphic anomaly. hep-th/0412139
17. Cardoso G.L., de Wit B., Kappeli J., and Mohaupt T. Asymptotic degeneracy of dyonic N = 4 string states and black hole entropy. JHEP 0412 (2004) 075. hep-th/0412287
18. L.B. Drissi, Branes, Black Hole, Attractors and Tests of OSV Conjecture, PhD thesis, Lab/UFR-High Energy Physics, Faculty of Science, Rabat, Morocco, 2006
19. Zhang P. A Note on q-deformed two dimensional Yang-Mills and open topological strings. hep-th/0611115
20. Gross D.J., and Taylor W. Two-dimensional QCD and strings. International Conference on Strings vol. 93 (1993), Strings, Berkeley 0214-0225. hep-th/9311072
21. Aganagic M., Ooguri H., Saulina N., and Vafa C. Black holes, q-deformed 2d Yang-Mills, and non-perturbative topological strings. Nucl. Phys. B 715 (2005) 304-348. hep-th/0411280
22. Aganagic M., Jafferis D., and Saulina N. Branes, black holes and topological strings on toric Calabi-Yau manifolds. hep-th/0512245
23. Caporaso N., Cirafici M., Griguolo L., Pasquetti S., Seminara D., and Szabo R.J. Topological strings and large N phase transitions I: Nonchiral expansion of q-deformed Yang-Mills theory. JHEP 0601 (2006) 035. hep-th/0509041
24. Caporaso N., Cirafici M., Griguolo L., Pasquetti S., Seminara D., and Szabo R.J. Topological strings and large N phase transitions II: Chiral expansion of q-deformed Yang-Mills theory. JHEP 0601 (2006) 036. hep-th/0511043
25. Caporaso N., Cirafici M., Griguolo L., Pasquetti S., Seminara D., and Szabo R.J. Black-holes, topological strings and large N phase transitions. J. Phys. Conf. Ser. 33 (2006) 13-25. hep-th/0512213
26. Caporaso N., Griguolo L., Marino M., Pasquetti S., and Seminara D. Phase transitions, double-scaling limit, and topological strings. hep-th/0606120
27. Caporaso N., Cirafici M., Griguolo L., Pasquetti S., Seminara D., and Szabo R.J. Topological strings, two-dimensional Yang-Mills theory and Chern-Simons theory on torus bundles. hep-th/0609129
28. Vafa C. On N = 1 Yang-Mills in four dimensions. Adv. Theor. Math. Phys. 2 (1998) 497-503. hep-th/9801139
29. Sahraoui E.M., and Saidi E.H. Metric building of pp wave orbifold geometries. Phys. Lett. B 558 (2003) 221-228. hep-th/0210168
30. Arsiwalla X., Boels R., Marino M., and Sinkovics A. Phase transition in q-deformed 2D Yang-Mills and topological strings. Phys. Rev. D 73 (2006) 02600. hep-th/0509002
31. 2 and topological strings. hep-th/0509004
32. Griguolo L., Seminara D., Szabo R.J., and Tanzini A. Black holes, instanton counting on toric singularities and q-deformed two-dimensional Yang-Mills theory. hep-th/0610155
33. Fucito F., Morales J.F., and Poghossian R. Instanton on toric singularities and black hole countings. hep-th/0610154
34. 2 to black holes/topological strings. hep-th/0602046
35. Katz S., Mayr P., and Vafa C. Mirror symmetry and exact solution of 4D N = 2 gauge theories I. Adv. Theor. Math. Phys. 1 (1998) 53-114. hep-th/9706110
36. 4 s based on indefinite singularities: Hyperbolic case. Nucl. Phys. B 674 (2003) 593-614. hep-th/0307244
37. Ahl Laamara R., Ait Ben Haddou M., Belhaj A., Drissi L.B., and Saidi E.H. RG cascades in hyperbolic quiver gauge theories. Nucl. Phys. B 702 (2004) 163-188. hep-th/0405222
38. Fulton W. Introduction to Toric Varieties. Annals of Math. Studies vol. 131 (1993), Princeton Univ. Press
39. Morrison D.R., and Plesser M.R. Nucl. Phys. B 440 (1995) 279
40. Leung N.C., and Vafa C. Branes and toric geometry. Adv. Theor. Math. Phys. 2 (1998) 91-118. hep-th/9711013
41. Belhaj A., and Saidi E.H. Non-simply laced quiver gauge theories in superstrings compactifications. Afr. J. Math. Phys. 1 (2004) 29-51. hep-th/0012131
42. Belhaj A., and Saidi E.H. Mod. Phys. Lett. A 15 (2000) 1767-1780. hep-th/0007143
43. Belhaj A., and Rasmussen J. On toric geometry, Spin (7) manifolds, and type II superstring compactification. J. Math. Phys. 46 (2005) 043511. hep-th/0402119
44. Aganagic M., Klemm A., Marino M., and Vafa C. The topological vertex. Commun. Math. Phys. 254 (2005) 425-478. hep-th/0305132
45. Iqbal A., and Kashani-Poor A.-K. The vertex on a strip. hep-th/0410174
46. Iqbal A., and Kashani-Poor A.-K. Instanton counting and Chern-Simons theory. Adv. Theor. Math. Phys. 7 (2004) 457-497. hep-th/0212279
47. Ait Benhaddou M., and Saidi E.H. Explicit analysis of Kahler deformations in 4D N = 1 supersymmetric quiver theories. Phys. Lett. B 575 (2003) 100-110. hep-th/0307103
48. 2: I, preprint: Lab/UFR-HEP0701-CPM/0701
49. Vafa C., and Witten E. A strong coupling test of S duality. Nucl. Phys. B 431 (1994) 3-77. hep-th/9408074
50. Kac V.G. Infinite Dimensional Lie Algebras. third ed. (1990), Cambridge Univ. Press
51. Belhaj A., and Saidi E.H. QFT method for indefinite Kac-Moody theory: A step towards classification. hep-th/0605168
52. 4: Indefinite series. J. Phys. A 38 (2005) 1793-1806. hep-th/0308005