99 citations · 502 across the 36 of their papers we have counts for
9 papers · 1 filter
Two field-theoretic viewpoints on the Fukaya-Morse category
Olga Chekeres, Andrey Losev, Pavel Mnev +1
We study an enhanced version of the Morse degeneration of Fukaya category with higher compositions given by counts of gradient flow trees. The enhancement consists in al…
Theory of holomorphic maps of two-dimensional complex manifolds to toric manifolds and type A multi-string theory
Olga Chekeres, Andrey S. Losev, Pavel Mnev +1
We study the field theory localizing to holomorphic maps from a complex manifold of complex dimension 2 to a toric target (a generalization of A model). Fields are realized as maps…
Quantum Chern-Simons theories on cylinders: BV-BFV partition functions
Alberto S. Cattaneo, Pavel Mnev, Konstantin Wernli
We compute partition functions of Chern-Simons type theories for cylindrical spacetimes , with an interval and , in the BV-BFV formalism (a refinement…
Two-dimensional non-abelian BF theory in Lorenz gauge as a solvable logarithmic TCFT
Andrey S. Losev, Pavel Mnev, Donald R. Youmans
We study two-dimensional non-abelian BF theory in Lorenz gauge and prove that it is a topological conformal field theory. This opens the possibility to compute topological string a…
Two-dimensional abelian BF theory in Lorenz gauge as a twisted N=(2,2) superconformal field theory
Andrey S. Losev, Pavel Mnev, Donald R. Youmans
We study the two-dimensional topological abelian BF theory in the Lorenz gauge and, surprisingly, we find that the gauged-fixed theory is a free type B twisted N=(2,2) superconform…
Wilson surface observables from equivariant cohomology
Anton Alekseev, Olga Chekeres, Pavel Mnev
Wilson lines in gauge theories admit several path integral descriptions. The first one (due to Alekseev-Faddeev-Shatashvili) uses path integrals over coadjoint orbits. The second o…