Symmetries and Observables for BF-theories in Superspace
Pirjo Pasanen
TL;DR
This paper explores super BF-theories in superspace, deriving topological observables from curvature and analyzing the role of supersymmetry and new symmetries in their construction.
Contribution
It introduces a superspace formalism for super BF-theories, identifying new symmetries and deriving observables related to topological invariants.
Findings
Derived superspace observables linked to topological invariants
Identified vector-like supersymmetry in super BF-theories
Explained the role of new symmetries in observable construction
Abstract
The supersymmetric version of a topological quantum field theory describing flat connections, the super BF-theory, is studied in the superspace formalism. A set of observables related to topological invariants is derived from the curvature of the superspace. Analogously to the non-supersymmetric versions, the theory exhibits a vector-like supersymmetry. The role of the vector supersymmetry and an additional new symmetry of the action in the construction of observables is explained.
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