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Title:
Two-dimensional BF theory as a conformal field theory
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Abstract:
We study topological BF theory on the complex plane in Lorenz gauge. In abelian case, we find that the gauge-fixed theory is a B-twisted N=(2,2) superconformal theory - Witten’s B-model with a parity-reversed target. In the non-abelian case, the theory becomes a logarithmic CFT with correlators given by convergent integrals (e.g. 4-point functions are expressed via dilogarithms). We find vertex operators in the non-abelian theory, receiving a quantum correction to conformal dimension.
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