Special geometry of local Calabi-Yau manifolds and superpotentials from holomorphic matrix models

Journal of High Energy Physics

Volumn , Issue 8, 2005, Pages 2471-2505

  Bilal, Adel ^a   Metzger, Steffen ^a,b  

^a ECOLE NORMALE SUPÉRIEURE   (France)

^b UNIVERSITY OF MUNICH   (Germany)

Author keywords

Matrix Models

Indexed keywords

EID: 24944465151     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2005/08/097     Document Type: Article

References (35)

1. P. Candelas, G.T. Horowitz, A. Strominger and E. Witten, Vacuum configurations for superstrings 1985 Nucl. Phys. B 258 46
2. B. de Wit and A. Van Proeyen, Potentials and symmetries of general gauged N ≤ 2 supergravity-Yang-Mills models 1984 Nucl. Phys. B 245 89
3. B. de Wit, P.G. Lauwers and A. Van Proeyen, Lagrangians of N ≤ 2 supergravity - matter systems 1985 Nucl. Phys. B 255 569
4. E. Cremmer et al., Vector multiplets coupled to N ≤ 2 supergravity: superhiggs effect, flat potentials and geometric structure 1985 Nucl. Phys. B 250 385
5. P. Candelas and X. de la Ossa, Moduli space of Calabi-Yau manifolds 1991 Nucl. Phys. B 355 455
6. N. Seiberg and E. Witten, Electric-magnetic duality, monopole condensation and confinement in N ≤ 2 supersymmetric Yang-Mills theory 1994 Nucl. Phys. B 426 19 [hep-th/9407087]
7. N. Seiberg and E. Witten, erratum 1994 Nucl. Phys. B 430 485
8. N. Seiberg and E. Witten, Monopoles, duality and chiral symmetry breaking in N ≤ 2 supersymmetric QCD 1994 Nucl. Phys. B 431 484 [hep-th/9408099]
9. A. Klemm, W. Lerche, P. Mayr, C. Vafa and N.P. Warner, Self-dual strings and N ≤ 2 supersymmetric field theory 1996 Nucl. Phys. B 477 746 [hep-th/9604034]
10. S. Katz, A. Klemm and C. Vafa, Geometric engineering of quantum field theories 1997 Nucl. Phys. B 497 173 [hep-th/9609239]
11. M. Aganagic, A. Klemm, M. Marino and C. Vafa, The topological vertex 2005 Comm. Math. Phys. 254 425 [hep-th/0305132]
12. M. Aganagic, R. Dijkgraaf, A. Klemm, M. Marino and C. Vafa, Topological strings and integrable hierarchies [hep-th/0312085]
13. M. Marino, Chern-Simons theory and topological strings [hep-th/0406005]
14. S. Kachru, S. Katz, A.E. Lawrence and J. McGreevy, Open string instantons and superpotentials 2000 Phys. Rev. D 62 026001 [hep-th/9912151]
15. F. Cachazo, K.A. Intriligator and C. Vafa, A large-N duality via a geometric transition 2001 Nucl. Phys. B 603 3 [hep-th/0103067]
16. R. Gopakumar and C. Vafa, M-theory and topological strings, I [hep-th/9809187]
17. M-theory and topological strings, II [hep-th/9812127]; On the gauge theory/geometry correspondence 1999 Adv. Theor. Math. Phys. 3 1415 [hep-th/9811131]
18. U.H. Danielsson, M.E. Olsson and M. Vonk, Matrix models, 4D black holes and topological strings on non-compact Calabi-Yau manifolds 2004 J. High Energy Phys. JHEP11(2004)007 [hep-th/0410141]
19. C. Vafa, Superstrings and topological strings at large-N 2001 J. Math. Phys. 42 2798 [hep-th/0008142]
20. R. Dijkgraaf and C. Vafa, Matrix models, topological strings and supersymmetric gauge theories 2002 Nucl. Phys. B 644 3 [hep-th/0206255]
21. R. Dijkgraaf and C. Vafa, On geometry and matrix models 2002 Nucl. Phys. B 644 21 [hep-th/0207106]
22. R. Dijkgraaf and C. Vafa, A perturbative window into non-perturbative physics [hep-th/0208048]
23. E. Witten, Chern-Simons gauge theory as a string theory 1995 Prog. Math. 133 637-678 [hep-th/9207094]
24. C.I. Lazaroiu, Holomorphic matrix models 2003 J. High Energy Phys. JHEP05(2003)044 [hep-th/0303008]
25. V.I. Arnold et al., Singularity theory 1998 (Springer-Verlag, Berlin)
26. W. Lerche, Introduction to Seiberg-Witten theory and its stringy origin 1997 Nucl. Phys. (Proc. Suppl.) 55B 83 [hep-th/9611190]
27. I.K. Kostov, Conformal field theory techniques in random matrix models [hep-th/9907060]
28. I.R. Klebanov, String theory in two-dimensions [hep-th/9108019]
29. B. Craps, F. Roose, W. Troost and A. Van Proeyen, What is special kaehler geometry? 1997 Nucl. Phys. B 503 565 [hep-th/9703082]
30. F. Cachazo, N. Seiberg and E. Witten, Chiral rings and phases of supersymmetric gauge theories 2003 J. High Energy Phys. JHEP04(2003)018 [hep-th/0303207]
31. M. Karoubi and C. Leruste, Algebraic topology via differential geometry 1987 (Cambridge University Press, Cambridge)
32. H.M. Farkas and I. Kra, Riemann surfaces Springer Verlag, New York 1992
33. W. Lerche, P. Mayr and N. Warner, Holomorphic N ≤ 1 special geometry of open-closed type-II strings [hep-th/0207259]
34. W. Lerche, P. Mayr and N. Warner, N ≤ 1 special geometry, mixed hodge variations and toric geometry [hep-th/0208039]
35. W. Lerche, Special geometry and mirror symmetry for open string backgrounds with N ≤ 1 supersymmetry [hep-th/0312326]