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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…