5 papers · 1 filter
Cohomological beta function
Oleksandr Gamayun, Maxim Gritskov, Andrey Losev
We propose a cohomological approach to computing the conformal anomaly. Using the example of current-current deformations of two-dimensional conformal field theories, we reproduce…
Perturbative anomalies in quantum mechanics
Maxim Gritskov, Andrey Losev, Saveliy Timchenko
In this work, we propose a cohomological approach to studying perturbative anomalies in quantum mechanics. The Hamiltonian together with the symmetry generator …
Perturbations vs deformations
Maksim Gritskov, Andrey Losev
In the first part of the paper we define a perturbative (pre-formal) geometry and formulate a theorem on the relation between the construction of a perturbative neighborhood of aff…
Beta function without UV divergences
Maxim Gritskov, Andrey Losev
In this paper, we construct the beta function in the functorial formulation of two-dimensional quantum field theories (FQFT). A key feature of this approach is the absence of ultra…
Combinatorial 2d higher topological quantum field theory from a local cyclic algebra
Justin Beck, Andrey Losev, Pavel Mnev
We construct combinatorial analogs of 2d higher topological quantum field theories. We consider triangulations as vertices of a certain CW complex . In the "flip theory," cells…