3 papers
math-ph2024
On induced L-infinity action of diffeomorphisms on Cochains
Andrey Losev, Dmitrii Sheptunov, Xin Geng
One of the approaches to quantum gravity is to formulate it in terms of De Rham algebra, choose a triangulation of space-time, and replace differential forms by cochains (that form…
math-ph2024
Maurer-Cartan methods in perturbative quantum mechanics
Andrey Losev, Tim Sulimov
We reformulate the time-independent Schrödinger equation as a Maurer-Cartan equation on the superspace of eigensystems of the former equation. We then twist the differential so tha…
hep-th2023
BV-refinement of the on-shell supersymmetry and localization
Andrey Losev, Vyacheslav Lysov
We generalize the BV formalism for the physical theories on supermanifolds with graded symmetry algebras realized off-shell and on-shell. An application of such generalization to s…