47 citations · 299 across the 23 of their papers we have counts for
9 papers · 1 filter
CayleyPy-4: AI-Holography. Towards analogs of holographic string dualities for AI tasks
A. Chervov, F. Levkovich-Maslyuk, A. Smolensky +41
This is the fourth paper in the CayleyPy project, which applies AI methods to the exploration of large graphs. In this work, we suggest the existence of a new discrete version of h…
Presymplectic AKSZ formulation of Einstein gravity
Maxim Grigoriev, Alexei Kotov
Any local gauge theory can be represented as an AKSZ sigma model (upon parameterization if necessary). However, for non-topological models in dimension higher than 1 the target spa…
Gauge PDE and AKSZ-type Sigma Models
Maxim Grigoriev, Alexei Kotov
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). W…
The Embedding Tensor, Leibniz-Loday Algebras, and Their Higher Gauge Theories
Alexei Kotov, Thomas Strobl
We show that the data needed for the method of the embedding tensor employed in gauging supergravity theories are precisely those of a Leibniz algebra (with one of its induced quot…
Curving Yang-Mills-Higgs Gauge Theories
Alexei Kotov, Thomas Strobl
Established fundamental physics can be described by fields, which are maps. The source of such a map is space-time, which can be curved due to gravity. The map itself needs to be c…
2d Gauge Theories and Generalized Geometry
Alexei Kotov, Vladimir Salnikov, Thomas Strobl
We show that in the context of two-dimensional sigma models minimal coupling of an ordinary rigid symmetry Lie algebra leads naturally to the appearance of the "gene…