Holomorphic maps and the complete 1/N expansion of 2D SU(N) Yang-Mills

Journal of High Energy Physics

Volumn 2008, Issue 6, 2008, Pages

  Kimura, Yusuke ^a   Ramgoolam, Sanjaye ^a  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

AdS CFT correspondence; Matrix models; Topological strings

Indexed keywords

EID: 47249141260     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2008/06/015     Document Type: Article

References (33)

1. A.A. Migdal, Recursion equations in gauge field theories 1975 Sov. Phys. JETP 42 413 [1975 Zh. Eksp. Teor. Fiz. 69 810 ]
2. D.J. Gross, Two-dimensional QCD as a string theory 1993 Nucl. Phys. B 400 161 [hep-th/9212149]
3. D.J. Gross and W. Taylor, Two-dimensional QCD is a string theory 1993 Nucl. Phys. B 400 181 [hep-th/9301068]
4. D.J. Gross and W. Taylor, Twists and Wilson loops in the string theory of two-dimensional QCD 1993 Nucl. Phys. B 403 395 [hep-th/9303046]
5. V.A. Kazakov and I.K. Kostov, Nonlinear strings in two-dimensional U() gauge theory 1980 Nucl. Phys. B 176 199
6. V.A. Kazakov, Wilson loop average for an arbitrary contour in two-dimensional U(N) gauge theory 1981 Nucl. Phys. B 179 283
7. V.A. Kazakov and I.K. Kostov, Computation of the Wilson loop functional in two-dimensional U() lattice gauge theory 1981 Phys. Lett. B 105 453
8. S. Cordes, G.W. Moore and S. Ramgoolam, Lectures on 2D Yang-Mills theory, equivariant cohomology and topological field theories 1995 Nucl. Phys. (Proc. Suppl.) 41 184 [hep-th/9411210]
9. S. Cordes, G.W. Moore and S. Ramgoolam, Large-N 2D Yang-Mills theory and topological string theory 1997 Comm. Math. Phys. 185 543 [hep-th/9402107]
10. Y. Kimura and S. Ramgoolam, Branes, anti-branes and Brauer algebras in gauge-gravity duality 2007 J. High Energy Phys. JHEP11(2007)078 [0709.2158]
11. A. Ram, Dissertation chapter 1: representation theory Ph.D. thesis, http://www.math.wisc.edu/ ram/pub/dissertationChapt1.pdf, University of Californa, San Diego U.S.A. (1991)
12. S. Ramgoolam, Wilson loops in 2D Yang-Mills: euler characters and loop equations 1996 Int. J. Mod. Phys. A 11 3885 [hep-th/9412110]
13. S.G. Naculich, H.A. Riggs and H.J. Schnitzer, Two-dimensional Yang-Mills theories are string theories 1993 Mod. Phys. Lett. A 8 2223 [hep-th/9305097]
14. S. Ramgoolam, Comment on two-dimensional O(N) and Sp(N) Yang-Mills theories as string theories 1994 Nucl. Phys. B 418 30 [hep-th/9307085]
15. R. Dijkgraaf, R. Gopakumar, H. Ooguri and C. Vafa, Baby universes in string theory 2006 Phys. Rev. D 73 066002 [hep-th/0504221]
16. M. Aganagic, H. Ooguri, N. Saulina and C. Vafa, Black holes, q-deformed 2D Yang-Mills and non- perturbative topological strings 2005 Nucl. Phys. B 715 304 [hep-th/0411280]
17. N. Caporaso et al., Topological strings, two-dimensional Yang-Mills theory and Chern-Simons theory on torus bundles [hep-th/0609129]
18. N. Caporaso et al., Topological strings and large-N phase transitions. II: chiral expansion of q-deformed Yang-Mills theory 2006 J. High Energy Phys. JHEP01(2006)036 [hep-th/0511043]
19. X. Arsiwalla, R. Boels, M. Marĩo and A. Sinkovics, Phase transitions in q-deformed 2D Yang-Mills theory and topological strings 2006 Phys. Rev. D 73 026005 [hep-th/0509002]
20. S. de Haro, S. Ramgoolam and A. Torrielli, Large-N expansion of q-deformed two-dimensional Yang-Mills theory and Hecke algebras 2007 Comm. Math. Phys. 273 317 [hep-th/0603056]
21. R. Dijkgraaf and G.W. Moore, Balanced topological field theories 1997 Comm. Math. Phys. 185 411 [hep-th/9608169]
22. H. Ooguri, A. Strominger and C. Vafa, Black hole attractors and the topological string 2004 Phys. Rev. D 70 106007 [hep-th/0405146]
23. S. Corley, A. Jevicki and S. Ramgoolam, Exact correlators of giant gravitons from dual N = 4 SYM theory 2002 Adv. Theor. Math. Phys. 5 809 [hep-th/0111222]
24. R. Bhattacharyya, S. Collins and R.d.M. Koch, Exact multi-matrix correlators 2008 J. High Energy Phys. JHEP03(2008)044 [0801.2061]
25. I.K. Kostov, M. Staudacher and T. Wynter, Complex matrix models and statistics of branched coverings of 2D surfaces 1998 Comm. Math. Phys. 191 283 [hep-th/9703189]
26. M. Kontsevich, Intersection theory on the moduli space of curves and the matrix Airy function 1992 Comm. Math. Phys. 147 1
27. M.J. Crescimanno and W. Taylor, Large-N phases of chiral QCD in two-dimensions 1995 Nucl. Phys. B 437 3 [hep-th/9408115]
28. T. Ekedahl, S. Lando, M. Shapiro and A. Vainshtein, Hurwitz numbers and intersections on moduli spaces of curves [math.AG/0004096]
29. E. Witten, Two-dimensional gravity and intersection theory on moduli space 1991 Surveys Diff. Geom. 1 243
30. A. Okunkov and R. Pandharipande, Gromov-Witten theory, Hurwitz numbers and matrix models I [math.AG/0101147]
31. R. Vakil, The moduli space of curves and Gromov-Witten theory [math.AG/0602347]
32. T. Eguchi, K. Hori and S.-K. Yang, Topological σ-models and large-N matrix integral 1995 Int. J. Mod. Phys. A 10 4203 [hep-th/9503017]
33. T. Eguchi, K. Hori and C.-S. Xiong, Gravitational quantum cohomology 1997 Int. J. Mod. Phys. A 12 1743 [hep-th/9605225]