53 citations · 84 across the 9 of their papers we have counts for
18 papers
Local geometric Langlands correspondence and affine Kac-Moody algebras
Edward Frenkel, Dennis Gaitsgory
By a local geometric Langlands correspondence for a complex reductive group G we understand a construction which assigns to a local system on the punctured disc for the Langlands d…
Gaudin model and opers
Edward Frenkel
This is a review of our previous works (some of them joint with B. Feigin and N. Reshetikhin) on the Gaudin model and opers. We define a commutative subalgebra in the tensor power…
Self-extensions of Verma modules and differential forms on opers
Edward Frenkel, Constantin Teleman
We compute the algebras of self-extensions of the vacuum module and the Verma modules over an affine Kac-Moody algebra g^ in suitable categories of Harish-Chandra modules. We show…
Opers on the projective line, flag manifolds and Bethe Ansatz
Edward Frenkel
We consider the problem of diagonalization of the hamiltonians of the Gaudin model, which is a quantum chain model associated to a simple Lie algebra. The hamiltonians of this mode…
Chiral de Rham Complex and Orbifolds
Edward Frenkel, Matthew Szczesny
Suppose that a finite group acts on a smooth complex variety . Then this action lifts to the Chiral de Rham Complex of and to its cohomology by automorphisms of the vert…
Affine Kac-Moody algebras, integrable systems and their deformations
Edward Frenkel
This is the text of the Hermann Weyl Prize lecture given by the author at the XXIV Colloquium on Group Theoretical Methods in Physics, Paris, July 2002 (to appear in the Proceeding…