Symmetries of topological field theories in the BV-framework

Details Symmetries of topological field theories in the BV-framework Symmetries of topological field theories in the BV-framework

2001-11-28

arxiv.org/abs/hep-th/0111258v1

Phys.Rev. D66 (2002) 025027

Physics

High Energy Physics

High Energy Physics - Theory

30 pages

Scientific paper

10.1103/PhysRevD.66.025027

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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