Matter-free higher spin gravities in 3D: Partially-massless fields and general structure
We study the problem of interacting theories with partially-massless and conformal higher
spin fields without matter in three dimensions. A new class of theories that have partially …
spin fields without matter in three dimensions. A new class of theories that have partially …
Lectures on AKSZ sigma models for physicists
N Ikeda - Noncommutative Geometry and Physics 4, 2017 - World Scientific
This is an introductory review of topological field theories (TFTs) called AKSZ sigma models.
The AKSZ construction is a mathematical formulation for the construction and analysis of a …
The AKSZ construction is a mathematical formulation for the construction and analysis of a …
Presymplectic AKSZ formulation of Einstein gravity
M Grigoriev, A Kotov - Journal of High Energy Physics, 2021 - Springer
A bstract Any local gauge theory can be represented as an AKSZ sigma model (upon
parameterization if necessary). However, for non-topological models in dimension higher …
parameterization if necessary). However, for non-topological models in dimension higher …
Gauge PDE and AKSZ‐type Sigma Models: LMS/EPSRC Durham Symposium on Higher Structures in M‐Theory
M Grigoriev, A Kotov - Fortschritte der Physik, 2019 - Wiley Online Library
A gauge PDE is a natural notion which arises by abstracting what physicists call a local
gauge field theory defined in terms of BV‐BRST differential (not necessarily Lagrangian) …
gauge field theory defined in terms of BV‐BRST differential (not necessarily Lagrangian) …
Presymplectic gauge PDEs and Lagrangian BV formalism beyond jet-bundles
M Grigoriev - Contemp. Math., 2023 - books.google.com
A gauge PDE is a geometrical object underlying what physicists call a local gauge field
theory defined at the level of equations of motion (ie without specifying Lagrangian) in terms …
theory defined at the level of equations of motion (ie without specifying Lagrangian) in terms …
Massive bigravity as a presymplectic BV-AKSZ sigma-model
M Grigoriev, V Gritzaenko - arXiv preprint arXiv:2410.13075, 2024 - arxiv.org
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 …
bigravity theory action as well as its Batalin-Vilkovisky extension in terms of the finite …
Weak gauge PDEs
M Grigoriev, D Rudinsky - arXiv preprint arXiv:2408.08287, 2024 - arxiv.org
Gauge PDEs generalise AKSZ sigma models to the case of general local gauge theories.
Despite being very flexible and invariant these geometrical objects are usually infinite …
Despite being very flexible and invariant these geometrical objects are usually infinite …
Presymplectic minimal models of local gauge theories
I Dneprov, M Grigoriev, V Gritzaenko - arXiv preprint arXiv:2402.03240, 2024 - arxiv.org
We elaborate on the recently proposed notion of a weak presymplectic gauge PDE. It is a
$\mathbb {Z} $-graded bundle over the space-time manifold, equipped with a degree $1 …
$\mathbb {Z} $-graded bundle over the space-time manifold, equipped with a degree $1 …