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

preprint2014arXivOpen access

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.

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

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

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