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Perturbative Chern-Simons invariants from non-acyclic flat connections
Pavel Mnev, Konstantin Wernli
We give a short review of our construction of a higher-loop perturbative invariant of framed 3-manifolds, generalizing the perturbative Chern-Simons invariant of Witten-Axelrod-Sin…
Globalization of perturbative Chern-Simons theory on the moduli space of flat connections in the BV formalism
Pavel Mnev, Konstantin Wernli
We study the perturbative path integral of Chern-Simons theory (the effective BV action on zero-modes) in Lorenz gauge, expanded around a (possibly non-acyclic) flat connection, as…
Lecture Notes on Chern-Simons Perturbation Theory
Konstantin Wernli
The goal of these lectures is to exhibit the framing anomaly in the Batalin-Vilkovisky formulation of perturbative Chern-Simons theory. Concretely, we show that the partition funct…
Towards holography in the BV-BFV setting
Pavel Mnev, Michele Schiavina, Konstantin Wernli
We show how the BV-BFV formalism provides natural solutions to descent equations, and discuss how it relates to the emergence of holographic counterparts of given gauge theories. F…
On the Globalization of the Poisson Sigma Model in the BV-BFV Formalism
Alberto S. Cattaneo, Nima Moshayedi, Konstantin Wernli
We construct a formal global quantization of the Poisson Sigma Model in the BV-BFV formalism using the perturbative quantization of AKSZ theories on manifolds with boundary and ana…
Globalization for Perturbative Quantization of Nonlinear Split AKSZ Sigma Models on Manifolds with Boundary
Alberto S. Cattaneo, Nima Moshayedi, Konstantin Wernli
We describe a covariant framework to construct a globalized version for the perturbative quantization of nonlinear split AKSZ Sigma Models on manifolds with and without boundary, a…