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Symmetries of topological field theories in the BV-framework
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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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Residual Symmetries and Their Algebras in the Kerr-Schild Double Copy
The Kerr-Schild double copy enlarges residual symmetries at the ansatz level but preserves physical symmetries after cohomological reduction, exposing a mismatch between Yang-Mills and gravity residual symmetry structures.
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