Holomorphic bundles and many-body systems

Communications in Mathematical Physics

Volumn 180, Issue 3, 1996, Pages 587-603

  Nekrasov, Nikita ^a,b  

^a PRINCETON UNIVERSITY   (United States)

^b INSTITUTE FOR THEORETICAL AND EXPERIMENTAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001013361     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02099624     Document Type: Article

References (33)

1. Babelon, O., Billey, E., Krichever, I., Talon, M.: Spin generalization of the Calogero-Moser system and the Matrix KP equation. hepth/9411160
2. Beilinson, A., Drinfeld, V.: Quantization of Hitchin's fibration and Langlands program. A. Beilinson's lectures at IAS, Fall 1994
3. Bernard, D.: Nucl. Phys. B303, 77 (1988), B309, 14 (1988)
4. Bernard, D.: Nucl. Phys. B303, 77 (1988), B309, 14 (1988)
5. Calogero, F.: J. Math. Phys. 12, 419 (1971)
6. Cherednik, I.: Difference-elliptic operators and root systems, hep-th/9410188
7. Etingof, P., Frenkel, I.: Central extensions of current groups in two dimensions. hepth/9303047
8. Etingof, P.: Quantum integrable systems and representations of Lie algebras. hepth/9311132
9. Etingof, P., Kirillov, A.Jr.: On the affine analogue of Jack's and Macdonald's polynomials. Yale preprint, 1994
10. Etingof, P., Frenkel, I., Kirillov-Jr.A.: Spherical functions on affine Lie groups. Yale preprint, 1994
11. Felder, G., Varchenko, A.: Integral formula for the solutions of the elliptic KZB equations. Int. Math. Res. Notices 5, 222-233 (1995)
12. Garnier, R.: Sur une classe de systèmes differentiels Abeliéns déduits de la theorie des équations linéares. Rend, del Circ. Matematice Di Palermo, 43, 4 (1919)
13. Gorsky, A., Nekrasov, N.: Elliptic Calogero-Moser System from Two Dimensional Current Algebra hepth/9401021
14. Gorsky, A., Nekrasov, N.: Relativistic Calogero-Moser model as gauged WZW theory Nucl. Phys. B436, 582-608 (1995)
15. Nekrasov, N., Gorsky, A.: Integrable systems on moduli spaces. In preparation
16. Feigin, B., Frenkel, E., Reshetikhin, N.: Gaudin Model, Critical Level and Bethe Ansatz. Commun. Math. Phys. 166, 27-62 (1995)
17. Gaudin, M.: J. Physique 37, 1087-1098 (1976)
18. Hitchin, N.: Duke Math. J. 54, No. 1 (1987)
19. Ivanov, D.: Knizhnik-Zamolodchikov-Bernard equations on Riemann surfaces, hepth/9410091
20. Kazhdan, D., Kostant, B., Sternberg, S.: Comm. on Pure and Appl. Math. XXXI, 481-507 (1978)
21. Knizhnik, V., Zamolodchikov, A.: Nucl. Phys. B247, 83 (1984)
22. Knizhnik, V.: Analytic fields on Riemann surfaces. Commun. Math. Phys. 112, 567 (1987)
23. Losev, A.: Coset construction and Bernard Equations. CERN-TH.6215/91
24. Olshanetsky, M., Perelomov, A.: Phys. Rep. 71, 313 (1981)
25. Moser, J.: Adv. Math. 16, 197-220 (1975)
26. Krichever, I.: Funk. Anal, and Appl. 12, 1, 76-78 (1978), 14, 282-290, (1980)
27. Krichever, I.: Funk. Anal, and Appl. 12, 1, 76-78 (1978), 14, 282-290, (1980)
28. Ruijsenaars, S.N.M., Schneider, H.: Ann. Phys. 170, 370-405 (1986)
29. Ruijsenaars, S.: Commun. Math. Phys. 110, 191-213 (1987)
30. Sutherland, B.: Phys. Rev. A5, 1372-1376 (1972)
31. Schlesinger, L.: Über eien Klasse von Differentialsystemen beliebiger Ordnung mit festen kritischen Punkten. Journal für die reine und angewandte Mathematik, Bd. CXLI, 96-145 (1912)
32. Verlinde, E.: Nucl. Phys. B300, 360 (1988)
33. Enriquez, B., Rubtsov, V.: Hitchin systems, higher Gaudin operators and r-matrices. alggeom/9503010