Perturbative and non-perturbative aspects of the two-dimensional string/Yang-Mills correspondence

Nuclear Physics B

Volumn 656, Issue 1-2, 2003, Pages 37-62

  Lelli, Simone ^a   Maggiore, Michele ^a   Rissone, Anna ^a  

^a UNIVERSITY OF GENEVA   (Switzerland)

Author keywords

String YM correspondence; Two dimensional Yang Mills

Indexed keywords

EID: 0037459834     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(03)00102-0     Document Type: Article

References (23)

1. D.J. Gross, Two-dimensional QCD as a string theory, Nucl. Phys. B 400 (1993) 161, hep-th/9212149.
2. D.J. Gross, W. Taylor, Two-dimensional QCD is a string theory, Nucl. Phys. B 400 (1993) 181, hep-th/9301068.
3. S. Cordes, G. Moore, S. Ramgoolam, Lectures on 2D Yang-Mills theory, equivariant cohomology and topological field theories, Nucl. Phys. (Proc. Suppl.) 41 (1995) 184, hep-th/9411210.
4. S. Cordes, G. Moore, S. Ramgoolam, Large N 2D Yang-Mills theory and topological string theory, Commun. Math. Phys. 185 (1997) 543, hep-th/9402107.
5. J.A. Minahan, A.P. Polychronakos, Equivalence of two-dimensional QCD and the c = 1 matrix model, Phys. Lett. B 312 (1993) 155, hep-th/9303153.
6. M.R. Douglas, Conformal field theory techniques for large N group theory, hep-th/9303159.
7. M.R. Douglas, Conformal field theory techniques in large N Yang-Mills theory, hep-th/9311130.
8. P. Horava, Topological rigid string theory and two-dimensional QCD, Nucl. Phys. B 463 (1996) 238, hep-th/9507060.
9. M. Caselle, A. D'Adda, L. Magnea, S. Panzeri, Two-dimensional QCD is a one-dimensional Kazakov-Migdal model, Nucl. Phys. B 416 (1994) 751, hep-th/9304015.
10. M. Billó, M. Caselle, A. D'Adda, P. Provero, Matrix string states in pure 2D Yang-Mills theories, Nucl. Phys. B 543 (1999) 141, hep-th/9809095.
11. M. Billó, A. D'Adda, P. Provero, Matrix strings from generalized Yang-Mills theory on arbitrary Riemann surfaces, Nucl. Phys. B 576 (2000) 241, hep-th/9911249.
12. J.M. Maldacena, A. Strominger, AdS(3) black holes and a stringy exclusion principle, JHEP 9812 (1998) 005, hep-th/9804085.
13. A. Migdal, Recursion relations in gauge theories, Zh. Eksp. Teor. Fiz. 69 (1975) 810.
14. B.E. Rusakov, Loop averages and partition functions in U(N) gauge theory on two-dimensional manifolds, Mod. Phys. Lett. A 5 (1990) 693.
15. D.J. Gross, W. Taylor, Twists and Wilson loops in the string theory of two-dimensional QCD, Nucl. Phys. B 403 (1993) 395, hep-th/9303046.
16. E. Witten, On quantum gauge theories in two dimensions, Commun. Math. Phys. 141 (1991) 153.
17. E. Brezin, C. Itzykson, G. Parisi, J.B. Zuber, Planar diagrams, Commun. Math. Phys. 59 (1978) 35.
18. J. Polchinski, String Theory, Cambridge Univ. Press, 1998.
19. R.E. Rudd, The string partition function for QCD on the torus, hep-th/9407176.
20. G.T. Horowitz, L. Susskind, Bosonic M-theory, J. Math. Phys. 42 (2001) 3152, hep-th/0012037.
21. E. Witten, Quantum field theory and the Jones polynomial, Commun. Math. Phys. 121 (1989) 351.
22. G.W. Moore, N. Seiberg, Taming the conformal zoo, Phys. Lett. B 220 (1989) 422.
23. E. Witten, Chern-Simons gauge theory as a string theory, Prog. Math. 133 (1995) 637, hep-th/9207094.