2 citations · 2 across the 4 of their papers we have counts for
5 papers
Classical BV Pushforward
Xin Geng, Andrey Losev, Vyacheslav Lysov
We define the classical BV pushforward and establish its two main properties. First, we prove that it maps solutions of the classical master equation (CME) on the total space to so…
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…
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…
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…
New Objects in Scattering Theory with Symmetries
Andrey S. Losev, Tim V. Sulimov
We consider 1D quantum scattering problem for a Hamiltonian with symmetries. We show that the proper treatment of symmetries in the spirit of homological algebra leads to new objec…