258 citations · 625 across the 30 of their papers we have counts for
11 papers · 1 filter
On topological field theory representation of higher analogs of classical special functions
Anton A. Gerasimov, Dimitri R. Lebedev
Looking for a quantum field theory model of Archimedean algebraic geometry a class of infinite-dimensional integral representations of classical special functions was introduced. P…
Parabolic Whittaker Functions and Topological Field Theories I
Anton Gerasimov, Dimitri Lebedev, Sergey Oblezin
First, we define a generalization of the standard quantum Toda chain inspired by a construction of quantum cohomology of partial flags spaces GL(\ell+1)/P, P a parabolic subgroup.…
Archimedean L-factors and Topological Field Theories II
Anton Gerasimov, Dimitri Lebedev, Sergey Oblezin
In the first part of this series of papers we propose a functional integral representation for local Archimedean L-factors given by products of the Gamma-functions. In particular w…
Two-dimensional Gauge Theories and Quantum Integrable Systems
Anton A. Gerasimov, Samson L. Shatashvili
In this paper the relation between 2d topological gauge theories and Bethe Ansatz equations is reviewed. In addition we present some new results and clarifications. We hope the rel…
Higgs Bundles, Gauge Theories and Quantum Groups
Anton A. Gerasimov, Samson L. Shatashvili
The appearance of the Bethe Ansatz equation for the Nonlinear Schrödinger equation in the equivariant integration over the moduli space of Higgs bundles is revisited. We argue that…
Towards Integrability of Topological Strings I: Three-forms on Calabi-Yau manifolds
Anton A. Gerasimov, Samson L. Shatashvili
The precise relation between Kodaira-Spencer path integral and a particular wave function in seven dimensional quadratic field theory is established. The special properties of thre…
On non-abelian structures in open string field theory
Anton A. Gerasimov, Samson L. Shatashvili
Multi-brane backgrounds are studied in the framework of the background independent open string field theory. A simple description of the non-abelian degrees of freedom is given. Al…
On Unification of RR Couplings
Emil T. Akhmedov, Anton A. Gerasimov, Samson L. Shatashvili
We consider the couplings of RR fields with open string sector for - backgrounds of various . Proposed approach, based on the approximation of the open stri…
Stringy Higgs Mechanism and the Fate of Open Strings
Anton A. Gerasimov, Samson L. Shatashvili
We propose a refinement of the physical picture describing different vacua in bosonic string theory. The vacua with closed strings and open strings are connected by the string fiel…
On Exact Tachyon Potential in Open String Field Theory
Anton A. Gerasimov, Samson L. Shatashvili
In these notes we revisit the tachyon lagrangian in the open string field theory using background independent approach of Witten from 1992. We claim that the tree level lagrangian…
Localization in GWZW and Verlinde formula
A. Gerasimov
Gauged Wess-Zumino-Witten theory for compact groups is considered. It is shown that this theory has fermionic BRST-like symmetry and may be exactly solved using localization approa…