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pro vyhledávání: '"Shatashvili, Samson L."'
Autor:
Shatashvili, Samson L.
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 three topics of joint interests: 2-cocycles, coadjoint orbits and $WZW_4$
Externí odkaz:
http://arxiv.org/abs/2307.09434
The asymptotics of characters $\chi_{k\lambda}(\exp(h/k))$ of irreducible representations of a compact Lie group $G$ for large values of the scaling factor $k$ are given by Duistermaat-Heckman (DH) integrals over coadjoint orbits of $G$. This phenome
Externí odkaz:
http://arxiv.org/abs/2004.03024
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 characters of the corresponding group $G$. In this paper, we revisit this
Externí odkaz:
http://arxiv.org/abs/1801.07963
Following Simpson we consider the integrable system structure on the moduli spaces of Higgs bundles on a compact K\"ahler manifold $X$. We propose a description of the corresponding spectral cover of $X$ as the fiberwise projective dual to a hypersur
Externí odkaz:
http://arxiv.org/abs/1603.05550
Bethe/gauge correspondence identifies supersymmetric vacua of massive gauge theories invariant under the two dimensional N=2 Poincare supersymmetry with the stationary states of some quantum integrable system. The supersymmetric theory can be twisted
Externí odkaz:
http://arxiv.org/abs/1405.6046
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 the quantization of the classical integrable system underlying the mod
Externí odkaz:
http://arxiv.org/abs/0908.4052
Publikováno v:
Prog.Theor.Phys.Suppl.177:105-119,2009
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 correspondence with the eigenstates of integrable spin chain Hamilton
Externí odkaz:
http://arxiv.org/abs/0901.4748
Publikováno v:
Nucl.Phys.Proc.Suppl.192-193:91-112,2009
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 with the eigenstates of integrable spin chain Hamiltonians. The Heise
Externí odkaz:
http://arxiv.org/abs/0901.4744
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 relations discussed here are particular examples of more general relation
Externí odkaz:
http://arxiv.org/abs/0711.1472
Publikováno v:
Commun.Math.Phys.277:323-367,2008
The appearance of the Bethe Ansatz equation for the Nonlinear Schr\"{o}dinger equation in the equivariant integration over the moduli space of Higgs bundles is revisited. We argue that the wave functions of the corresponding two-dimensional topologic
Externí odkaz:
http://arxiv.org/abs/hep-th/0609024