From the 1 of 6 linked papers with an AI index.
6 papers
Towards First Quantisation Formalism for AKSZ Theories
Leon Menger, Pavel Mnev
The paper develops a one‑dimensional AKSZ model on graphs that serves as a first‑quantisation picture for a given AKSZ field theory, showing how its partition function reproduces t…
BV pushforward as a quasi-isomorphism
Alberto S. Cattaneo, Pavel Mnev
Given a BV theory on a space of fields split into two subspaces ("infrared" and "ultraviolet"), one has the BV pushforward map , sending observables to observables of the effe…
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…
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…
Gluing formulae for heat kernels
Pavel Mnev, Konstantin Wernli
We state and prove two gluing formulae for the heat kernel of the Laplacian on a Riemannian manifold of the form . We present several examples.
Lecture notes on conformal field theory
Pavel Mnev
These are the notes on two-dimensional conformal field theory, based on a lecture course for graduate math students, given by P.M. in fall 2022 at the University of Notre Dame. The…