Symmetries of topological field theories in the BV-framework

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.

30 pages

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Cited by in corpus (6)

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• A new Hamiltonian for the Topological BF phase with spinor networks
• On the symmetries of BF models and their relation with gravity
• Topological hypermultiplet on N=2 twisted superspace in four dimensions
• Lessons from Toy-Models for the Dynamics of Loop Quantum Gravity
• Residual Symmetries and Their Algebras in the Kerr-Schild Double Copy