Classical BV theories on manifolds with boundaries

Details Classical BV theories on manifolds with boundaries Classical BV theories on manifolds with boundaries

2011-12-31

arxiv.org/abs/1201.0290v2

Physics

Mathematical Physics

The second version has many typos corrected, references added. Some typos are probably still there, in particular, signs in ex

Scientific paper

In this paper we extend classical Batalin-Vilkovisky (BV) theories to space-time manifolds with boundaries. Considering manifolds with boundaries we connect the BV approach to gauge theories in the bulk with the Batalin-Fradkin-Vilkovisky (BFV) construction on the boundary. Examples of such theories include BV-extensions of the Yang-Mills theories and classical topological field theories known as AKSZ theories. The best known examples of AKSZ theories are BV-extensions of the Chern-Simons classical field theory, BF theories, classical Poisson sigma models. This paper is a step towards developing the corresponding full perturbative semiclassical quantum field theories.

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