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Perturbative BV theories with Segal-like gluing

Mathematical Physics 2016-02-09 v2 High Energy Physics - Theory Algebraic Topology Geometric Topology math.MP

Abstract

This is a survey of our program of perturbative quantization of gauge theories on manifolds with boundary compatible with cutting/pasting and with gauge symmetry treated by means of a cohomological resolution (Batalin-Vilkovisky) formalism. We also give two explicit quantum examples -- abelian BF theory and the Poisson sigma model. This exposition is based on a talk by P.M. at the ICMP 2015 in Santiago de Chile.

Keywords

Cite

@article{arxiv.1602.00741,
  title  = {Perturbative BV theories with Segal-like gluing},
  author = {Alberto S. Cattaneo and Pavel Mnev and Nicolai Reshetikhin},
  journal= {arXiv preprint arXiv:1602.00741},
  year   = {2016}
}

Comments

8 pages, 1 figure. (Ver. 2 has a figure added and some typos corrected.)