Gravitational quantum foam and supersymmetric gauge theories

Nuclear Physics B

Volumn 735, Issue 1-3, 2006, Pages 96-126

  Maeda, Takashi ^a   Nakatsu, Toshio ^a   Noma, Yui ^a   Tamakoshi, Takeshi ^a  

^a OSAKA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 30144433192     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2005.11.026     Document Type: Article

References (33)

1. A. Okounkov N. Reshetikhin C. Vafa Quantum Calabi - Yau and classical crystals hep-th/0309208
2. A. Iqbal N. Nekrasov A. Okounkov C. Vafa Quantum foam and topological strings hep-th/0312022
3. M. Bershadsky V. Sadov Theory of Kähler gravity Int. J. Mod. Phys. A 11 1996 4689 hep-th/9410011
4. E. Witten Two-dimensional gravity and intersection theory on moduli space Surveys Diff. Geom. 1 1991 243
5. A. Iqbal All genus topological string amplitudes and 5-brane webs as Feynman diagrams hep-th/0207114
6. M. Aganagic A. Klemm M. Marino C. Vafa The topological vertex hep-th/ 0305132
7. A. Iqbal A.-K. Kashani-Poor SU (N) geometries and topological string amplitudes hep-th/0306032
8. T. Eguchi H. Kanno Topological strings and Nekrasov's formulas JHEP 03112 2003 006 hep-th/0310235
9. N.A. Nekrasov Seiberg - Witten prepotential from instanton counting Adv. Theor. Math. Phys. 7 2004 831 hep-th/0206161
10. N. Nekrasov A. Okounkov Seiberg-Witten theory and random partitions hep-th/0306238
11. T. Maeda T. Nakatsu K. Takasaki T. Tamakoshi Five-dimensional supersymmetric Yang - Mills theories and random plane partitions JHEP 0503 2005 056 hep-th/0412327
12. A. Klemm W. Lerche P. Mayr C. Vafa N.P. Warner Self-dual strings and N = 2 supersymmetric field theory Nucl. Phys. B 477 1996 746 hep-th/9604034
13. S. Katz A. Klemm C. Vafa Geometric engineering of quantum field theories Nucl. Phys. B 497 1997 173 hep-th/9609239
14. N. Woodhause Geometric Quantization 1992 Oxford Univ. Press
15. S. Bates A. Weinstein Lectures on the Geometry of Quantization Berkeley Mathematics Lecture Notes vol. 8 1991 American Mathematical Society
16. N. Seiberg Five-dimensional SUSY field theories, non-trivial fixed points and string dynamics Phys. Lett. B 388 1996 753 hep-th/9608111
17. K. Intriligator D. Morrison N. Seiberg Five-dimensional supersymmetric gauge theories and degenerations of Calabi - Yau spaces Nucl. Phys. B 497 1997 56 hep-th/9702198
18. A. Iqbal V. Kaplunovsky Quantum deconstruction of a 5D SYM and its moduli space JHEP 0405 2004 013 hep-th/0212098
19. T. Maeda T. Nakatsu K. Takasaki T. Tamakoshi Free fermion and Seiberg - Witten differential in random plane partitions Nucl. Phys. B 715 2005 275 hep-th/0412329
20. W. Fulton Introduction to Toric Varieties 1993 Princeton Univ. Press
21. T. Oda Convex Bodies and Algebraic Geometry 1988 Springer-Verlag
22. C. Vafa E. Zaslow (Eds.) Mirror Symmetry Clay Mathematics Monographs vol. 1 2003 American Mathematical Society
23. E. Witten Nucl. Phys. B 311 1988 46
24. 3 quantum gravity and entropy JHEP 9905 1999 009 hep-th/9903248
25. T. Nakatsu H. Umetsu N. Yokoi Three-dimensional black holes and Liouville field theory Prog. Theor. Phys. 102 1999 867 hep-th/9903259
26. A. Okounkov N. Reshetikhin Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram J. Amer. Math. Soc. 16 3 2003 581 math.CO/0107056
27. I.G. Macdonald Symmetric Functions and Hall Polynomials 1995 Clarendon
28. M. Jimbo T. Miwa Solitons and infinite dimensional Lie algebras Publ. Res. Inst. Math. Sci. Kyoto Univ. 19 1983 943
29. S. Bloch A. Okounkov The character of the infinite wedge representation alg-geom/9712009
30. M. Sato Y. Sato in: H. Fujita P.D. Lax G. Strang (Eds.) Nonlinear Partial Differential Equations in Applied Science 1983 Kinokuniya-North-Holland Tokyo
31. M. Sato Y. Sato 1982 Proc. US-Japan Seminar Tokyo
32. M. Sato Y. Sato Lecture Notes in Numerical Analysis vol. 5 1982 p. 259
33. 1+∞ algebra Prog. Theor. Phys. Suppl. 118 1995 343 hep-th/9408158