Quantum Group $GL_q(2)$ and Quantum Laplace Operator via Semi-infinite Cohomology
arXiv:1110.1696 · doi:10.4171/JNCG/142
Abstract
We construct the quantum group $GL_q(2)$ 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