Zobrazeno 1 - 10
of 603
pro vyhledávání: '"Frenkel, E."'
We prove the equivalence of two hierarchies of soliton equations associated to a simply-laced finite Dynkin diagram. The first was defined by Kac and Wakimoto using the principal realization of the basic representations of the corresponding affine Ka
Externí odkaz:
http://arxiv.org/abs/0909.4032
The present paper is the second part of our project in which we describe quantum field theories with instantons in a novel way by using the "infinite radius limit" (rather than the limit of free field theory) as the starting point. The theory dramati
Externí odkaz:
http://arxiv.org/abs/0803.3302
Publikováno v:
Nucl.Phys.Proc.Suppl.171:215-230,2007
This is a brief summary of our studies of quantum field theories in a special limit in which the instantons are present, the anti-instantons are absent, and the perturbative corrections are reduced to one-loop. We analyze the corresponding models as
Externí odkaz:
http://arxiv.org/abs/hep-th/0702137
Publikováno v:
Adv.Math.223:873-948,2010
We introduce a class of quantum integrable systems generalizing the Gaudin model. The corresponding algebras of quantum Hamiltonians are obtained as quotients of the center of the enveloping algebra of an affine Kac-Moody algebra at the critical leve
Externí odkaz:
http://arxiv.org/abs/math/0612798
Many quantum field theories in one, two and four dimensions possess remarkable limits in which the instantons are present, the anti-instantons are absent, and the perturbative corrections are reduced to one-loop. We analyze the corresponding models a
Externí odkaz:
http://arxiv.org/abs/hep-th/0610149
Autor:
Frenkel, E., Gaitsgory, D.
We study the Wakimoto modules over the affine Kac-Moody algebras at the critical level from the point of view of the equivalences of categories proposed in our previous works, relating categories of representations and certain categories of sheaves.
Externí odkaz:
http://arxiv.org/abs/math/0603524
Autor:
Frenkel, E., Gaitsgory, D.
Let ${\mathfrak g}$ be a simple Lie algebra. For a level $\kappa$ (thought of as a symmetric ${\mathfrak g}$-invariant form of ${\mathfrak g}$), let $\hat{\mathfrak g}_\kappa$ be the corresponding affine Kac-Moody algebra. Let $Gr_G$ be the affine Gr
Externí odkaz:
http://arxiv.org/abs/math/0303173
Let X be a smooth, complete, geometrically connected curve over a field of characteristic p. The geometric Langlands conjecture states that to each irreducible rank n local system E on X one can attach a perverse sheaf on the moduli stack of rank n b
Externí odkaz:
http://arxiv.org/abs/math/0012255
Let G be a split connected reductive group over a finite field F_q, and N its maximal unipotent subgroup. V. Drinfeld has introduced a remarkable partial compactification of the moduli stack of N-bundles on a smooth projective curve X over F_q. In th
Externí odkaz:
http://arxiv.org/abs/math/9907133
Publikováno v:
Journal of the American Mathematical Society, 2002 Apr 01. 15(2), 367-417.
Externí odkaz:
https://www.jstor.org/stable/827125
