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… 
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References

SHOWING 1-10 OF 62 REFERENCES

Vector supersymmetry in topological field theories

We present a simple derivation of vector supersymmetry transformations for topological field theories of Schwarz- and Witten-type. Our method is similar to the derivation of BRST-transformations from

SYMMETRIES AND OBSERVABLES FOR BF THEORIES IN SUPERSPACE

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

New symmetries in topological field theories

Renormalization of Topological Field Theory

On the symmetries of BF models and their relation with gravity

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

Monopoles and topological field theory

An Introduction to the Renormalization of Theories with Continuous Symmetries, to the Chiral Models and to Their Anomalies

The role of symmetries, both discrete and continuous, in Quantum Mechanics is one of the main topics of a Standard course for graduate students. In Quantum Field Theory symmetries are even more
...