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arXiv · 1712.01186

Two-dimensional abelian BF theory in Lorenz gauge as a twisted N=(2,2) superconformal field theory

Andrey S. Losev·Pavel Mnev·Donald R. Youmans
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Abstract

We study the two-dimensional topological abelian BF theory in the Lorenz gauge and, surprisingly, we find that the gauged-fixed theory is a free type B twisted N=(2,2) superconformal theory with odd linear target space, with the ghost field c being the pullback of the linear holomorphic coordinate on the target. The BRST operator of the gauge-fixed theory equals the total Q of type B twisted theory. This unexpected identification of two different theories opens a way for nontrivial deformations of both of these theories.

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Andrey S. Losev, Pavel Mnev, Donald R. Youmans. 2017-12-04. Two-dimensional abelian BF theory in Lorenz gauge as a twisted N=(2,2) superconformal field theory. https://doi.org/10.1016/j.geomphys.2018.05.009

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