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Symmetries of topological field theories in the BV-framework

F. Gieres·J. M. Grimstrup·H. Nieder·T. Pisar·M. Schweda
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Abstract

Topological field theories of Schwarz-type generally admit symmetries whose algebra does not close off-shell, e.g. the basic symmetries of BF models or vector supersymmetry of the gauge-fixed action for Chern-Simons theory (this symmetry being at the origin of the perturbative finiteness of the theory). We present a detailed discussion of all these symmetries within the algebraic approach to the Batalin-Vilkovisky formalism. Moreover, we discuss the general algebraic construction of topological models of both Schwarz- and Witten-type.

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F. Gieres, J. M. Grimstrup, H. Nieder, T. Pisar, M. Schweda. 2001-11-28. Symmetries of topological field theories in the BV-framework. https://doi.org/10.1103/physrevd.66.025027

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