Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory pp 223-242 | Cite as
Unitary Representations of the Modular and Two-Particle Q-Deformed Toda Chains
Chapter
Abstract
The paper deals with the analytic theory of the quantum two-particle q-deformed Toda chains. This is the simplest nontrivial example clarifying the role of the modular duality concept (first discovered by L.Faddeev) in the representation theory of noncompact semisimple quantum groups. Explicit formulae for the Whittaker vectors and Whittaker functions are presented in terms of the double sine functions.
Keywords
Hopf Algebra Unitary Representation Real Form Whittaker Function Toda Chain
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