The goal of this note is to give a brief overview of the BV-BFV formalism developed by the first two authors and Reshetikhin in (Cattaneo et al., Commun Math Phys 332(2), 535–603, 2014) [9], (Cattaneo et al., Perturbative Quantum Gauge Theories on Manifolds with Boundary, 2015) [10] in order to perform perturbative quantisation of Lagrangian field theories on manifolds with boundary, and present a special case of Chern–Simons theory as a new example.
CITATION STYLE
Cattaneo, A. S., Mnev, P., & Wernli, K. (2017). Split Chern–Simons Theory in the BV-BFV Formalism. In Mathematical Physics Studies (Vol. Part F1121, pp. 293–324). Springer. https://doi.org/10.1007/978-3-319-65427-0_9
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