4 papers
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 …
Finite-rank conformal quantum mechanics
Maxim Gritskov, Saveliy Timchenko
In this work, we study the simplest example of the landscape of conformal field theories: one-dimensional CFTs with finite-dimensional state space. Following the definition of quan…
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…