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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…