The q-deformed Knizhnik-Zamolodchikov-Bernard heat equation

Communications in Mathematical Physics

Volumn 221, Issue 3, 2001, Pages 549-571

  Felder, Giovanni ^a   Varchenko, Alexander ^b  

^a ETH ZURICH   (Switzerland)

^b University of North Carolina at Chapel Hill   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035536235     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200100487     Document Type: Article

References (18)

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2. [B] Bernard, D.: On the Wess-Zumino-Witten model on the torus. Nucl. Phys. B 303, 77-93 (1988); On the Wess-Zumino-Witten model on Riemann surfaces. Nucl. Phys. B 309, 145-174 (1988)
3. [F] Felder, G.: Conformal field theory and integrable systems associated to elliptic curves. In: Proceedings of the International Congress of Mathematicians, Zürich 1994. Basel-Boston: Birkhauser, 1994, pp. 1247-1255; Elliptic quantum groups. In: Proceedings of the International Congress of Mathematical Physics, Paris 1994, Cambridge, MA: International Press 1995, pp. 211-218
4. [F] Felder, G.: Conformal field theory and integrable systems associated to elliptic curves. In: Proceedings of the International Congress of Mathematicians, Zürich 1994. Basel-Boston: Birkhauser, 1994, pp. 1247-1255; Elliptic quantum groups. In: Proceedings of the International Congress of Mathematical Physics, Paris 1994, Cambridge, MA: International Press 1995, pp. 211-218
5. [FV1] Felder, G. and Varchenko, A.: Integral representation of solutions of the elliptic Knizhnik-Zamolodchikov-Bernard equation. Int. Math. Res. Notices, 5, 221-233 (1995)
6. 2). Commun. Math. Phys. 181, 741-761 (1996)
7. [FV3] Felder, G. and Varchenko, A.: q-deformed KZB equation: completeness and modular properties. Preprint 2001
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9. 3. math.QA/9907061. Adv. Math. 156, 44-76 (2000)
10. [FV6] Felder, G. and Varchenko, A.: Special functions, conformal blocks, Bethe ansatz, and SL(3, ℤ). math.QA/0101136, to appear in Phil. Trans.
11. [FTV1] Felder, G., Tarasov, V. and Varchenko, A.: Solutions of the elliptic qKZB equations and Bethe ansatz I. Am. Math. Soc. Transl. 180, 45-75 (1997)
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