On the gauge theory/geometry correspondence

Advances in Theoretical and Mathematical Physics

Volumn 3, Issue 5, 1999, Pages 1-24

  Gopakumar, Rajesh ^a   Vafa, Cumrun ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79551491388     PISSN: 10950761     EISSN: 10950753     Source Type: Journal    
DOI: 10.4310/atmp.1999.v3.n5.a5     Document Type: Article

References (40)

1. G. 't Hooft, "A Planar Diagram Theory for Strong Interactions," Nucl. Phys. 72 (1974) 461.
2. D. Gross, Nucl. Phys. B400(1993),161
3. D. Gross,W. Taylor Nucl. Phys. B400(1993),181, B403(1993),395
4. S. Cordes, G. Moore, S. Ramgoolam, "Large N 2D Yang-Mills Theory and Topological String Theory", Commun. Math. Phys. 185, (1997), 543
5. P. Horava, "Topological Rigid String Theory and Two Dimensional QCD", Nucl. Phys. B463, (1996), 238;"
6. On QCD String Theory and AdS Dynamics"
7. V. Periwal, "Topological Closed-string Interpretation of Chern-Simons Theory", Phys. Rev. Lett. 71 (1993), 1295.
8. M. R. Douglas, "Chern-Simons-Witten Theory as a Topological Fermi Liquid".
9. J. Maldacena, "The Large N Limit of Superconformal Field Theories and Supergravity," Adv. Theor. Math. Phys. 2 (1998) 231.
10. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, "Gauge Theory Correlators from Non-Critical String Theory," Phys. Lett. B428 (1998) 105.
11. E.Witten, "Anti De Sitter Space And Holography," Adv. Theor. Math. Phys. 2 (1998) 253.
12. R. Gopakumar, C. Vafa, "M-Theory and Topological Strings-I".
13. L. Susskind, E. Witten, "The Holographic Bound in Anti-de Sitter Space".
14. E. Witten, "Chern-Simons Gauge Theory As A String Theory".
15. B. Greene, C. Vafa and N.Warner, "Calabi-YauManifolds and Renormalization Group Flows," Nucl. Phys. B324 (1989) 371.
16. E. Martinec, "Criticality, Catastrophes, and Compactifications," in Physics and Mathematics of Strings, ed. L. Brink, D. Friedan and A.M. Polyakov (World Scientific, 1990).
17. E. Witten, "Phases of N=2 Theories in 2 Dimensions," Nucl. Phys. B403 (1993) 159.
18. M. Green and J. Polchinski, "Summing Over World-Sheet Boundaries," Phys. Lett. B335 (1994) 377.
19. E. Witten, "Quantum Field theory and the Jones Polynomial", Commun.Math.Phys. 121,(1989) 351.
20. G. 't Hooft, "On the Convergence of Planar Diagram Expansions", Commun.Math.Phys.86,(1982), 449.
21. M. Douglas, V. Kazakov, "Large N Phase Transition in Continuum QCD2", Phys. Lett. B319, (1993), 219.
22. E. Witten, "Topological Sigma Model," Comm. Math. Phys. 118 (1988) 411.
23. J. Maldacena, 'Wilson loops in large N field theories",Phys.Rev.Lett. 80, (1998), 4859;
24. S-J. Rey, J.Yee, "Macroscopic Strings as Heavy Quarks of Large N Gauge Theory and Anti-de Sitter Supergravity".
25. C. Taubes, private communication
26. P. Candelas, X.C. de la Ossa, P.S. Green and L. Parkes, "A Pair of Calabi-Yau Manifolds as an Exactly Solube Superconformal Theory," Nucl. Phys. B 359 (1991) 21.
27. S. Hosono et. al., "Mirror Symmetry, Mirror Map and Applications to Complete Intersection Calabi-Yau Spaces," Mirror Symmetry II, ed. by B. Greene and S.-T. Yau, AMS/IP.
28. P. Aspinwall, B. Greene and D. Morrison, "Calabi-Yau Moduli Space, Mirror Manifolds and Spacetime Topology Change in String Theory," Nucl. Phys. B416 (1994) 414.
29. S. Katz, private communication.
30. M.Bershadsky, S.Cecotti, H.Ooguri, C.Vafa, "Holomorphic Anomalies in Topological Field Theories, Nucl. Phys. B405 (1993), 279.
31. M. Bershadsky, S. Cecotti,H. Ooguri, C. Vafa, "Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes", Comm. Math. Phys. 165 (1994), 311.
32. M. Marino and G. Moore, "Counting higher genus curves in a Calabi-Yau manifold,".
33. C. Faber and R. Pandharipande, "Hodge integrals and Gromov-Witten theory".
34. S. Axelrod and I. Singer, "Chern-Simons Perturbation Theory II," J. Diff. Geom. 39 (1994) 173.
35. K.Skenderis, M. Henningsson, "The Holographic Weyl anomaly".
36. M. Bershadsky and V. Sadov, "Theory of Kähler Gravity," Int. J. Mod. Phys. A11 (1996) 4689.
37. A general reference on knot theory is "Knots and Physics", by L.Kauffman, World Scientific (1993)
38. R. Gopakumar, C. Vafa, "Branes and Fundamental Groups".
39. N. Berkovits and C. Vafa, "N=4 Topological Strings," Nucl. Phys. B433 (1995) 123.
40. H. Ooguri and C. Vafa, "Geometry of N=2 Strings,", Nucl. Phys. B361 (1991) 469.