4 papers
Angular Quantization of the Sine-Gordon Model at the Free Fermion Point
S. Khoroshkin, A. LeClair, S. Pakuliak
The goal of this paper is to analyse the method of angular quantization for the Sine-Gordon model at the free fermion point, which is one of the most investigated models of the two…
Weyl group extension of quantized current algebras
Jintai Ding, Sergei Khoroshkin
In this paper, we extend the Drinfeld current realization of quantum affine algebras and of the Yangians in several directions: we construct current operators for…
On the FRTS approach to quantized current algebras
Jintai Ding, Sergei Khoroshkin
We study the possibility to establish -operator's formalism by Faddeev-Reshetikhin-Takhtajan-Semenov-Tian-Shansky (FRST) for quantized current algebras, that is, for quantum aff…
Non-resonance D-modules over arrangements of hyperplanes
Sergei Khoroshkin, Vadim Schechtman
The aim of this note is a combinatorial description of a category of -modules over an affine space, smooth along the stratification defined by an arrangement of hyperplanes. The…