798 citations · 3.1k across the 77 of their papers we have counts for
6 papers · 1 filter
Gerbal Representations of Double Loop Groups
Edward Frenkel, Xinwen Zhu
A crucial role in representation theory of loop groups of reductive Lie groups and their Lie algebras is played by their non-trivial second cohomology classes which give rise to th…
Any flat bundle on a punctured disc has an oper structure
Edward Frenkel, Xinwen Zhu
We prove that any flat G-bundle, where G is a complex connected reductive algebraic group, on the punctured disc admits the structure of an oper. This result is important in the lo…
Langlands duality for representations of quantum groups
Edward Frenkel, David Hernandez
We establish a correspondence (or duality) between the characters and the crystal bases of finite-dimensional representations of quantum groups associated to Langlands dual semi-si…
Instantons beyond topological theory II
E. Frenkel, A. Losev, N. Nekrasov
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…
On the endomorphisms of Weyl modules over affine Kac-Moody algebras at the critical level
Boris Feigin, Edward Frenkel, Leonid Rybnikov
We present an independent short proof of the main result of arXiv:0706.3725 that the algebra of endomorphisms of a Weyl module of critical level is isomorphic to the algebra of fun…
Opers with irregular singularity and spectra of the shift of argument subalgebra
Boris Feigin, Edward Frenkel, Leonid Rybnikov
The universal enveloping algebra of any simple Lie algebra g contains a family of commutative subalgebras, called the quantum shift of argument subalgebras math.RT/0606380, math.QA…