Quantum Langlands duality and conformal field theory

Abstract

V. Drinfeld proposed conjectures on geometric Langlands correspondence and its quantum deformation. We refine these conjectures and propose their relationship with algebraic conformal field theory.

7 pages

References in corpus (2)

• A relation between the Knizhnik--Zamolodchikov and Belavin--Polyakov--Zamolodchikov systems of partial differential equations
• On Quantization of the Geometric Langlands Correspondence I

Cited by in corpus (6)

• Gauging Spacetime Symmetries On The Worldsheet And The Geometric Langlands Program -- II
• Twisted geometric Langlands correspondence for a torus
• Quantum Geometric Langlands Categories from N = 4 Super Yang-Mills Theory
• Quasi-Topological Gauged Sigma Models, The Geometric Langlands Program, And Knots
• Geometric Whittaker models and Eisenstein series for Mp_2
• Some problems in mathematics and mathematical physics