Dimensionally reduced SYM4 as solvable matrix quantum mechanics

Nuclear Physics B

Volumn 571, Issue 1-2, 2000, Pages 479-509

  Hoppe, Jens ^a   Kazakov, Vladimir ^b   Kostov, Ivan K ^c  

^a ALBERT EINSTEIN INSTITUT   (Germany)

^b ECOLE NORMALE SUPÉRIEURE   (France)

^c CEA SACLAY   (France)

Author keywords

Dimensional reduction; Integrable hierarchies; Large N; Super Yang Mills theory

Indexed keywords

EID: 0034599225     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(99)00749-X     Document Type: Article

References (27)

1. [1] E. Witten, Nucl. Phys. B 443 (1995) 85, hep-th/9503124.
2. [2] G. Moore, N. Nekrasov, S. Shatashvili, Integrating over Higgs branches, hep-th/9712241.
3. [3] G. Moore, N. Nekrasov, S. Shatashvili, D-particle bound states and generalized instantons, HUTP-98/A008, ITEP-TH-8/98, hep-th/9803265.
4. [4] M. Green, M. Gutperle, D-particle bound states and the D-instanton measure, hep-th/9711107.
5. [5] V. Kazakov, I. Kostov, N. Nekrasov, Nucl. Phys. B (to be published), hep-th/9810035.
6. [6] J. Goldstone, unpublished.
7. [7] J. Hoppe, Quantum theory of a massless relativistic surface ..., MIT PhD Thesis (1982).
8. [8] J. Hoppe, Elementary Particle Research Journal (Kyoto) 80 (1989).
9. [9] M. Claudson, M.B. Halpern, Nucl. Phys. B 250 (1985) 689.
10. [10] T. Banks, W. Fischler, S.H. Shenker, L. Susskind, Phys. Rev. D 55 (1997) 1997, hep-th/9610043.
11. [11] N. Nekrassov, PhD Thesis, Princeton Univ. (1997).
12. [12] L. Baulieu, A. Losev, N. Nekrasov, Nucl. Phys. B 522 (1998) 1998, hep-th/9707174.
13. [13] E. Witten, J. Geom. Phys. 9 (1992) 303, hep-th/9204083.
14. [14] F. Sugino, Cohomological field theory approach to matrix strings, hep-th/9904122.
15. [15] M. Gaudin, Nucl. Phys. 85 (1966) 545, the text can be found in the book Travaux de Michel Gaudin, Les Editions de Physique (1995).
16. [16] D. Boulatov, V. Kazakov, J. Mod. Phys A 8 (1993) 809.
17. [17] D. Gross, I. Klebanov, Nucl. Phys. B 359 (1991) 3.
18. [18] I.K. Kostov, P. Vanhove, Phys. Lett. B 444 (1998) 196, hep-th/9809130.
19. [19] W. Krauth, H. Nicolai, M. Staudacher, Phys. Lett. B 431 (1998) 31.
20. [20] W. Krauth, M. Staudacher, Phys. Lett. B 435 (1998) 350.
21. [21] S. Sethi, M. Stern, Commun. Math. Phys. 194 (1998) 675, hep-th/9705046.
22. [22] P. Yi, Nucl. Phys. B 505 (1997) 307.
23. [23] S. Kakei, Toda lattice hierarhy and Zamolodchikov's conjecture, solv-int/9510006.
24. [24] D. Gross, E. Witten, Phys. Rev. D 21 (1980) 446.
25. [25] B.A. Fuchs, B.V. Shabat, Functions of a complex variable (Hindustan Publ. Corp., Jawahar Nagar, Delhi, 1966).
26. [26] Byrd, Friedman, Handbook of ellyptic integrals for engineers and physicists (Springer, Berlin, 1954).
27. [27] V. Kazakov, A. Migdal, Nucl. Phys. B 311 (1988) 171.