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Topological deformations of local gauge theories: a presymplectic BV-AKSZ approach
Ivan Dneprov, Alexey Donchenko, Maxim Grigoriev
The same local degrees of freedom can be described by systems with different gauge structure and field content. Standard examples are the duality between the scalar field and the 2…
Presymplectic BV-AKSZ and constrained DGCAs
Maxim Grigoriev, Alexander Mamekin, Dmitry Rudinsky
The AKSZ construction encodes the Batalin-Vilkovisky formulation of a topological field theory in terms of finite-dimensional geometric data. There are at least two ways to extend…
Asymptotic boundary structure of Lagrangian gauge theories
Ivan Dneprov, Maxim Grigoriev, Mikhail Markov
Given a local gauge theory on spacetime with boundary, it naturally defines another gauge theory which can be regarded as a theory of the boundary values. For Lagrangian theories,…
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…
Massive bigravity as a presymplectic BV-AKSZ sigma-model
Maxim Grigoriev, Vyacheslav Gritzaenko
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-dimensiona…
Weak Gauge PDEs
Maxim Grigoriev, Dmitry Rudinsky
Gauge PDEs generalise the AKSZ construction when dealing with generic local gauge theories. Despite being very flexible and invariant, these geometrical objects are usually infinit…
Presymplectic minimal models of local gauge theories
Ivan Dneprov, Maxim Grigoriev, Vyacheslav Gritzaenko
We elaborate on the recently proposed notion of a weak presymplectic gauge PDE. It is a -graded bundle over the space-time manifold, equipped with a degree vector f…