19 citations · 98 across the 18 of their papers we have counts for
20 papers
Dirac operators for infinite-dimensional color Lie algebras
Steffen Schmidt, Konstantin Wernli
We develop the Dirac formalism for infinite-dimensional quadratic -graded color Lie algebras with finite-dimensional components. Cubic Dirac operators are defined in co…
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…
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.
Combinatorial QFT on graphs: first quantization formalism
Ivan Contreras, Santosh Kandel, Pavel Mnev +1
We study a combinatorial model of the quantum scalar field with polynomial potential on a graph. In the first quantization formalism, the value of a Feynman graph is given by a sum…
On enumerative problems for maps and quasimaps: freckles and scars
Olga Chekeres, Santosh Kandel, Andrey Losev +3
We address the question of counting maps between projective spaces such that images of cycles on the source intersect cycles on the target. In this paper we do it by embedding maps…
Six lectures on Geometric Quantization
Konstantin Wernli
These are the lecture notes for a short course on geometric quantization given by the author at the XVIII Modave Summer School on Mathematical Physics, Sep 5 - Sep 9.
Quantum Chern-Simons theories on cylinders: BV-BFV partition functions
Alberto S. Cattaneo, Pavel Mnev, Konstantin Wernli
We compute partition functions of Chern-Simons type theories for cylindrical spacetimes , with an interval and , in the BV-BFV formalism (a refinement…
Constrained systems, generalized Hamilton-Jacobi actions, and quantization
Alberto S. Cattaneo, Pavel Mnev, Konstantin Wernli
Mechanical systems (i.e., one-dimensional field theories) with constraints are the focus of this paper. In the classical theory, systems with infinite-dimensional targets are consi…
Convolution algebras for Relational Groupoids and Reduction
Ivan Contreras, Nima Moshayedi, Konstantin Wernli
We introduce the notions of relational groupoids and relational convolution algebras. We provide various examples arising from the group algebra of a group and a given normal s…
Two-dimensional perturbative scalar QFT and Atiyah-Segal gluing
Santosh Kandel, Pavel Mnev, Konstantin Wernli
We study the perturbative quantization of 2-dimensional massive scalar field theory with polynomial (or power series) potential on manifolds with boundary. We prove that it fits in…
Lecture Notes on Spin Geometry
Konstantin Wernli
We review the Atiyah-Singer Index theorem and some applications. Only basic knowledge of differential geometry and Lie groups is required.
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…
Theta Invariants of lens spaces via the BV-BFV formalism
Alberto S. Cattaneo, Pavel Mnev, Konstantin Wernli
The goal of this paper is to investigate the Theta invariant --- an invariant of framed 3-manifolds associated with the lowest order contribution to the Chern-Simons partition func…
Computing Entanglement Polytopes
Konstantin Wernli
In arXiv:1208.0365 entanglement polytopes where introduced as a coarsening of the SLOCC classification of multipartite entanglement. The advantages of classifying entanglement by e…
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…
Relational Symplectic Groupoid Quantization for Constant Poisson Structures
Alberto S. Cattaneo, Nima Moshayedi, Konstantin Wernli
As a detailed application of the BV-BFV formalism for the quantization of field theories on manifolds with boundary, this note describes a quantization of the relational symplectic…
Split Chern-Simons theory in the BV-BFV formalism
Alberto S. Cattaneo, Pavel Mnev, Konstantin Wernli
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 [arXiv:1201.0290], [arXiv:1507.01221] in order to pe…