99 citations · 502 across the 36 of their papers we have counts for
4 papers · 2 filters
Chern-Simons Theory with Wilson Lines and Boundary in the BV-BFV Formalism
Anton Alekseev, Yves Barmaz, Pavel Mnev
We consider the Chern-Simons theory with Wilson lines in 3D and in 1D in the BV-BFV formalism of Cattaneo-Mnev-Reshetikhin. In particular, we allow for Wilson lines to end on the b…
A construction of observables for AKSZ sigma models
Pavel Mnev
A construction of gauge-invariant observables is suggested for a class of topological field theories, the AKSZ sigma-models. The observables are associated to extensions of the tar…
Classical and quantum Lagrangian field theories with boundary
Alberto S. Cattaneo, Pavel Mnev, Nicolai Reshetikhin
This note gives an introduction to Lagrangian field theories in the presence of boundaries. After an overview of the classical aspects, the cohomological formalisms to resolve sing…
Classical BV theories on manifolds with boundary
Aberto S. Cattaneo, Pavel Mnev, Nicolai Reshetikhin
In this paper we extend the classical BV framework to gauge theories on spacetime manifolds with boundary. In particular, we connect the BV construction in the bulk with the BFV co…