# Symmetries of Topological Field Theories in the BV-framework

@article{Gieres2001SymmetriesOT, title={Symmetries of Topological Field Theories in the BV-framework}, author={François Gieres and J. M. Grimstrup and Harald Nieder and T. Pisar and Manfred Schweda}, journal={Physical Review D}, year={2001}, volume={66}, pages={025027} }

Topological eld theories of Schwarz-type generally admit symmetries whose algebra does not close o-shell, e.g. the basic symmetries of BF models or vector supersymmetry of the gauge-xed action for Chern-Simons theory (this symmetry being at the origin of the perturbative niteness 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…

## 6 Citations

### On the symmetries of BF models and their relation with gravity

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- 2002

The perturbative niteness of various topological models (e.g. BF models) has its origin in an extra symmetry of the gauge-xed action, the so-called vector su- persymmetry. Since an invariance of this…

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### TOPOLOGICAL HYPERMULTIPLET ON N = 2 TWISTED SUPERSPACE IN FOUR DIMENSIONS

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We propose an N = 2 twisted superspace formalism with a central charge in four dimensions by introducing a Dirac–Kahler twist. Using this formalism, we construct an off-shell twisted hypermultiplet…

### A new Hamiltonian for the topological BF phase with spinor networks

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We describe fundamental equations which define the topological ground states in the lattice realization of the SU(2) BF phase. We introduce a new scalar Hamiltonian, based on recent works in quantum…

### N=4 twisted superspace from Dirac–Kähler twist and off-shell SUSY invariant actions in four dimensions

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### G\'eom\'etrie quantique dans les mousses de spins : de la th\'eorie topologique BF vers la relativit\'e g\'en\'erale

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Loop quantum gravity has provided us with a canonical framework especially devised for background independent and diffeomorphism invariant gauge field theories. In this quantization the fundamental…

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The perturbative niteness of various topological models (e.g. BF models) has its origin in an extra symmetry of the gauge-xed action, the so-called vector su- persymmetry. Since an invariance of this…

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