8 papers
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…
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…
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…
Boundary structure of gauge fields on asymptotically AdS spaces
Maxim Grigoriev, Mikhail Markov
We study the boundary structure of asymptotically AdS gravity and (gauge) fields defined on this background by employing the gauge PDE approach. The essential step of the construct…
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…