Browsing Pure & Applied Mathematics (Scholarly Publications) by Author "SHATASHVILI, SAMSON"
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Bethe/gauge correspondence on curved spaces
SHATASHVILI, SAMSON (2015)Bethe/gauge correspondence identifies supersymmetric vac ua of massive gauge theories invariant under the two dimensional N = 2 Poincare supersymmetry with the stationary states of some quantum integrable system. The ... 
Factorization Conjecture and Open/Closed String Correspondence
SHATASHVILI, SAMSON (2005)We present evidence for the factorization of the worldshee t path integrals for 2d con formal field theories on the disk into bulk and boundary contr ibutions. This factorization is then used to reinterpret a shift ... 
Higgs Bundles, Gauge Theories and Quantum Groups
SHATASHVILI, SAMSON (2008)The appearance of the Bethe Ansatz equation for the Nonlinea r Schr ?odinger equa tion in the equivariant integration over the moduli space of Higgs bundles is revisited. We argue that the wave functions of the ... 
Quantization of Integrable Systems and Four Dimensional Gauge Theories
SHATASHVILI, SAMSON (2010)We study four dimensional N = 2 supersymmetric gauge theory in the ? background with the two dimensional N = 2 superPoincare invariance. We explain how this gauge theory provides the quantization of the class ical ... 
Quantum geometry and quiver gauge theories
SHATASHVILI, SAMSON (2013)We study macroscopically two dimensional N = (2 , 2) supersymmetric gauge theories constructed by compactifying the quiver gau ge theories with eight su percharges on a product T d ? R 2 ? of a d dimensional ... 
Quantum integrability and supersymmetric vacua
SHATASHVILI, SAMSON (2009)Supersymmetric vacua of two dimensional N = 4 gauge theories with matter, softly broken by the twisted masses down to N = 2, are shown to be in onetoone correspondence with the eig enstates of integrable spin chain ... 
Stringy Higgs Mechanizm and Fate of Open Strings
SHATASHVILI, SAMSON (2001)We propose a refinement of the physical picture describing di fferent vacua in bosonic string theory. The vacua with closed strings and open string s are connected by the string field theory version of the Higgs ... 
Supersymmetric vacua and Bethe ansatz
SHATASHVILI, SAMSON (2009)This note is a short announcement of some results of a longer p aper where the supersymmet ric vacua of two dimensional N = 4 gauge theories with matter, softly broken by the twisted masses down to N = 2, are shown ... 
Towards Integrability of Topological Strings I: Three Froms on Calabi
SHATASHVILI, SAMSON (2004)The precise relation between KodairaSpencer path integra l and a particular wave function in seven dimensional quadratic field theory is esta blished. The special properties of threeforms in 6d, as well as Hitchin?s ... 
Twodimensional gauge theories and quantum integrable systems
SHATASHVILI, SAMSON (2008)In this paper the relation between 2d topological gauge theo ries and Bethe Ansatz equations is reviewed. 1 In addition we present some new results and clarifications. W e hope the relations discussed here are ...