Double affine Hecke algebra in logarithmic conformal field theory
G. Mutafyan, I. Yu. Tipunin
TL;DR
This paper constructs a representation of the Double Affine Hecke Algebra that links the center of a quantum group with the Verlinde algebra of logarithmic conformal field theory models, revealing deep algebraic structures.
Contribution
It introduces a novel representation of the Double Affine Hecke Algebra connecting quantum groups and logarithmic conformal field theory.
Findings
Representation of DAHA constructed
Links quantum group center to Verlinde algebra
Provides algebraic framework for (1,p) models
Abstract
We construct the representation of Double Affine Hecke Algebra whose symmetrization gives the center of the quantum group U_q(sl(2)) and by Kazhdan--Lusztig duality the Verlinde algebra of (1,p) models of logarithmic conformal field theory.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Advanced Topics in Algebra