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Author

Maxim Grigoriev

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Preprint Oct 2026

Topological deformations of local gauge theories: a presymplectic BV-AKSZ approach

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-form gauge field in four dimensions, and unimodular gravity, where the cosmological constant becomes a global degree of freedom. In a preci...

Ivan Dneprov, Alexey Donchenko, Maxim Grigoriev · 0 citations
Preprint Sep 2026

Presymplectic BV-AKSZ and constrained DGCAs

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 this approach to nontopological gauge theories. The first, due to Costello, replaces the spacetime exterior algebra with a more general DGCA...

Maxim Grigoriev, Alexander Mamekin, Dmitry Rudinsky · 0 citations

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