Quantum Group $G{L}_q(2)$ and Quantum Laplace Operator via Semi-infinite Cohomology

Abstract

We construct the quantum group $G{L}_q(2)$ as the semi-infinite cohomology of the tensor product of two braided vertex operator algebras based on the algebra $W_2$ with complementary central charges $c+\bar{c}=28$. The conformal field theory version of the Laplace operator on the quantum group is also obtained.

20 pages, v2: typos corrected

References in corpus (2)

• Vertex Algebras and Algebraic Curves
• Complex ADHM equations, sheaves on P^3 and quantum instantons

Cited by in corpus (1)

• Automorphism group and twisted modules of the twisted Heisenberg-Virasoro vertex operator algebra