On the symmetries of BF models and their relation with gravity

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

2001-11-29

arxiv.org/abs/hep-th/0111273v1

JHEP 0201 (2002) 017

Physics

High Energy Physics

High Energy Physics - Theory

29 pages

Scientific paper

10.1088/1126-6708/2002/01/017

The perturbative finiteness of various topological models (e.g. BF models) has its origin in an extra symmetry of the gauge-fixed action, the so-called vector supersymmetry. Since an invariance of this type also exists for gravity and since gravity is closely related to certain BF models, vector supersymmetry should also be useful for tackling various aspects of quantum gravity. With this motivation and goal in mind, we first extend vector supersymmetry of BF models to generic manifolds by incorporating it into the BRST symmetry within the Batalin-Vilkovisky framework. Thereafter, we address the relationship between gravity and BF models, in particular for three-dimensional space-time.

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