Abstract
This paper introduces a general perturbative quantization scheme for gauge theories on manifolds with boundary, compatible with cutting and gluing, in the cohomological symplectic (BV–BFV) formalism. Explicit examples, like abelian BF theory and its perturbations, including nontopological ones, are presented.
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Communicated by M. Salmhofer
A.S.C. acknowledges partial support of SNF Grant No. 200020-149150/1. This research was (partly) supported by the NCCR SwissMAP, funded by the Swiss National Science Foundation, and by the COST Action MP1405 QSPACE, supported by COST (European Cooperation in Science and Technology). P.M. acknowledges partial support of RFBR Grant No. 13-01-12405-ofi-m and of SNF Grant No. 200021-137595. The work of N.R. was supported by the NSF Grant DMS-0901431, by the Chern–Simons research grant. The work on Sect. 2 was supported by RSF Project No. 14-11-00598.
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Cattaneo, A.S., Mnev, P. & Reshetikhin, N. Perturbative Quantum Gauge Theories on Manifolds with Boundary. Commun. Math. Phys. 357, 631–730 (2018). https://doi.org/10.1007/s00220-017-3031-6
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DOI: https://doi.org/10.1007/s00220-017-3031-6