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Quantum Group $GL_q(2)$ and Quantum Laplace Operator via Semi-infinite Cohomology

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.

preprint2014arXivOpen access
Igor B. FrenkelAnton M. Zeitlin
math.RTmath-phmath.QAmath.MPhep-th
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Igor B. FrenkelAnton M. Zeitlin

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