This is an introductory review of topological field theories (TFTs) called AKSZ sigma models.
The AKSZ construction is a mathematical formulation for the construction and analysis of a …

We show how a generic gauge field theory described by a BRST differential can
systematically be reformulated as a first order parent system whose spacetime part is …

A bstract Any local gauge theory can be represented as an AKSZ sigma model (upon
parameterization if necessary). However, for non-topological models in dimension higher …

A gauge PDE is a geometrical object underlying what physicists call a local gauge field
theory defined at the level of equations of motion (ie without specifying Lagrangian) in terms …

A bstract We study twisted Courant sigma models, a class of topological field theories arising
from the coupling of 3D 0-/2-form BF theory and Chern-Simons theory and containing a 4 …

We formalize the construction by Batalin and Vilkovisky of a solution of the classical master
equation associated with a regular function on a nonsingular affine variety (the classical …

A bstract Using methods of formal geometry, the Poisson sigma model on a closed surface is
studied in perturbation theory. The effective action, as a function on vacua, is shown to have …

We propose a presymplectic BV-AKSZ sigma model encoding the ghost free massive
bigravity theory action as well as its Batalin-Vilkovisky extension in terms of the finite …

We examine the color-kinematics duality within the BV formalism, highlighting its emergence
as a feature of specific gauge-fixed actions. Our goal is to establish a general framework for …

The recently proposed first-order parent formalism at the level of equations of motion is
specialized to the case of Lagrangian systems. It is shown that for diffeomorphism-invariant …