379 citations · 3.1k across the 36 of their papers we have counts for
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On the topics of my conversations with Igor Frenkel
Samson L. Shatashvili
This is a summary of my lecture at Igor Frenkel's 70th birthday conference. I give a brief review of my almost forty years of scientific interactions with Igor. I focus here on thr…
Berezin quantization, conformal welding and the Bott-Virasoro group
A. Alekseev, S. Shatashvili, L. Takhtajan
Following Nag-Sullivan, we study the representation of the group of diffeomorphisms of the circle on the Hilbert space of holomorphic functions. Conformal weldi…
Characters, Coadjoint Orbits and Duistermaat-Heckman Integrals
Anton Alekseev, Samson L. Shatashvili
The asymptotics of characters of irreducible representations of a compact Lie group for large values of the scaling factor are given by Duistermaat-Heck…
Coadjoint Orbits, Cocycles and Gravitational Wess-Zumino
Anton Alekseev, Samson L. Shatashvili
About 30 years ago, in a joint work with L. Faddeev we introduced a geometric action on coadjoint orbits. This action, in particular, gives rise to a path integral formula for char…
Bethe/Gauge correspondence on curved spaces
Nikita A. Nekrasov, Samson L. Shatashvili
Bethe/gauge correspondence identifies supersymmetric vacua of massive gauge theories invariant under the two dimensional N=2 Poincare supersymmetry with the stationary states of so…
Quantum geometry and quiver gauge theories
Nikita Nekrasov, Vasily Pestun, Samson Shatashvili
We study macroscopically two dimensional supersymmetric gauge theories constructed by compactifying the quiver gauge theories with eight supercharges on a produ…
Darboux coordinates, Yang-Yang functional, and gauge theory
Nikita Nekrasov, Alexey Rosly, Samson Shatashvili
The moduli space of SL(2) flat connections on a punctured Riemann surface with the fixed conjugacy classes of the monodromies around the punctures is endowed with a system of holom…
Quantization of Integrable Systems and Four Dimensional Gauge Theories
Nikita A. Nekrasov, Samson L. Shatashvili
We study four dimensional N=2 supersymmetric gauge theory in the Omega-background with the two dimensional N=2 super-Poincare invariance. We explain how this gauge theory provides…
Quantum integrability and supersymmetric vacua
Nikita A. Nekrasov, Samson L. Shatashvili
This is an announcement of some of the results of a longer paper where the supersymmetric vacua of two dimensional N=2 susy gauge theories with matter are shown to be in one-to-one…
Supersymmetric vacua and Bethe ansatz
Nikita A. Nekrasov, Samson L. Shatashvili
An announcement of some results of a longer paper where the supersymmetric vacua of two dimensional N=2 susy gauge theories with matter are shown to be in one-to-one correspondence…
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…
Factorization Conjecture and the Open/Closed String Correspondence
Marcus Baumgartl, Ivo Sachs, Samson L. Shatashvili
We present evidence for the factorization of the world-sheet path integrals for 2d conformal field theories on the disk into bulk and boundary contributions. This factorization is…
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…
Closed Strings from SO(8) Yang-Mills Instantons
Ruben Minasian, Samson L. Shatashvili, Pierre Vanhove
When eight-dimensional instantons, satisfying F \wedge F = \pm \star_8 (F\wedge F), shrink to zero size, we find stringy objects in higher order ten-dimensional Yang-Mills (viewed…
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…
On Field Theory of Open Strings, Tachyon Condensation and Closed Strings
Samson L. Shatashvili
I review the physical properties of different vacua in the background independent open string field theory. Talk presented at Strings 2001, Mumbai, India, http://theory.theory.tifr…
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…
Freckled Instantons in Two and Four Dimensions
A. Losev, N. Nekrasov, S. Shatashvili
Field theory with instantons can be partially regularized by adding degrees of freedom at some scale. These extra degrees of freedom lead to the appearence of the new topological d…
An Orbifold of Type 0B Strings and Non-supersymmetric Gauge Theories
Igor R. Klebanov, Nikita A. Nekrasov, Samson L. Shatashvili
We study a ${\IZ}_2$ orbifold of Type 0B string theory by reflection of six of the coordinates (this theory may also be thought of as a ${\IZ}_4$ orbifold of Type IIB string theory…
Two-dimensional Conformal Field Theories on AdS_{2d+1} Backgrounds
Jan de Boer, Samson L. Shatashvili
Various exact two-dimensional conformal field theories with AdS_{2d+1} target space are constructed. These models can be solved using bosonization techniques. Some examples are pre…
On Non-Supersymmetric CFT in Four Dimensions
Nikita Nekrasov, Samson L. Shatashvili
We show that the theories on the self-dual D3-branes of Type 0 string theory are in the class of the previously considered tadpole-free orbifolds of $\mathcal{N} =…