On the correlation functions of the vector bundle generalization of the bc-system

Journal of Mathematical Physics

Volumn 42, Issue 9, 2001, Pages 4563-4569

  Schork, Matthias ^a  

^a GOETHE UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035537210     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1388198     Document Type: Article

References (24)

1. M. Green, J. Schwarz, and E. Witten, Superstring Theory I (Cambridge U.P., Cambridge, 1987).
2. J. Polchinski, String Theory I (Cambridge U.P., Cambridge, 1998).
3. D. Friedan, E. Martinec, and S. Shenker, "Conformal Invariance, Supersymmetry and String Theory," Nucl. Phys. B 271, 93 (1986).
4. E. Verlinde and H. Verlinde, "Chiral Bosonization, Determinants and the String Partition Function," Nucl. Phys. B 288, 357 (1987).
5. A. Raina, "Fay's Trisecant Identity and Conformal Field Theory," Commun. Math. Phys. 122, 625 (1989).
6. A. Raina, "Analyticity and Chiral Fermions on a Riemann Surface," Helv. Phys. Acta 63, 694 (1990).
7. M. Schork, "Generalized bc-systems based on Hermitian vector bundles," J. Math. Phys. 41, 2443 (2000).
8. E. Gómez Gonzáles and F. J. Plaza Martín, "Addition formula for non-abelian theta functions," preprint math.AG/0008005.
9. J. Fay, Theta Functions on Riemann Surfaces (Springer, New York, 1973).
10. J. Fay, Kernel Functions, Analytic Torsion, and Moduli Spaces, Memoirs of the AMS 464, (1992).
11. A. Beauville, M. S. Narasimhan, and S. Ramanan, "Spectral covers and the generalized theta divisor," J. Reine Angew. Math. 398, 169 (1989).
12. C. Sorger, "La formule de Verlinde," Séminaire Bourbaki 794, (1994/95).
13. T. Eguchi and H. Ooguri, "Chiral Bosonization on a Riemann Surface," Phys. Lett. B 187, 127 (1987).
14. A. Raina, "An algebraic geometry view of currents in a model quantum field theory on a curve," Acad. Sci., Paris, C. R. 318, 851 (1994).
15. A. Raina, "An algebraic geometry view of a model quantum field theory on a curve," in Geometry of the Pacific Rim, edited by A. J. Berrick, B. Loo, and H. Y. Wang (de Gruyter, Berlin, 1997), pp. 311-329.
16. J. A. Ball and V. Vinnikov, "Zero-pole interpolation for matrix meromorphic functions on a compact Riemann surface and a matrix Fay trisecant identity," Am. J. Math. 121, 841 (1999).
17. H. Sonoda, "Calculation of a Propagator on a Riemann Surface," Phys. Lett. B 178, 390 (1986).
18. M. J. Dugan and H. Sonoda, "Functional Determinants on a Riemann Surface," Nucl. Phys. B 289, 227 (1987).
19. I. Biswas and A. Raina, "Projective Structures on a Riemann Surface," Int. Math. Res. Notices 15, 753 (1996).
20. A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov, "Infinite conformal symmetry in two dimensional quantum field theory," Nucl. Phys. B 241, 333 (1984).
21. D. Friedan and S. Shenker, "The analytic geometry of two-dimensional conformal field theory," Nucl. Phys. B 281, 509 (1987).
22. P. Di Francesco, P. Mathieu, and D. Sénéchal, Conformal Field Theory (Springer, New York, 1997).
23. E. Witten, "Non-Abelian Bosonization in Two Dimensions," Commun. Math. Phys. 92, 455 (1984).
24. C. S. Seshadri, "Space of unitary vector bundles on a compact Riemann surface," Ann. Math. 85, 303 (1967).