4 papers
Multisymplectic AKSZ sigma models
Thomas Basile, Maxim Grigoriev, Evgeny Skvortsov
The Alexandrov-Kontsevich-Schwarz-Zaboronsky (AKSZ) construction encodes all the data of a topological sigma-model in the finite-dimensional symplectic -manifold. Relaxing the n…
Background fields in the presymplectic BV-AKSZ approach
Ivan Dneprov, Maxim Grigoriev
The Batalin-Vilkovisky formulation of a general local gauge theory can be encoded in the structure of a so-called presymplectic gauge PDE -- an almost- bundle over the spacetime…
Presymplectic BV-AKSZ for , Supergravity
Maxim Grigoriev, Alexander Mamekin
We elaborate on the presymplectic BV-AKSZ approach to supersymmetric systems. In particular, we construct such a formulation for the , supergravity by taking as a target…
Consistent deformations in the presymplectic BV-AKSZ approach
Jordi Frias, Maxim Grigoriev
We develop a framework for studying consistent interactions of local gauge theories, which is based on the presymplectic BV-AKSZ formulation. The advantage of the proposed approach…