A. Varchenko

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19952022

most citedBethe eigenvectors of higher transfer matrices

52 citations · 270 across the 46 of their papers we have counts for

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math-ph2022

On the number of $p$ -hypergeometric solutions of KZ equations

Alexander Varchenko

It is known that solutions of the KZ equations can be written in the form of multidimensional hypergeometric integrals. In 2017 in a joint paper of the author with V. Schechtman th…

math-ph2020

Dynamical $sl_{2}$ Bethe algebra and functions on pairs of quasi-polynomials

A. Slinkin, D. Thompson, A. Varchenko

We consider the space $Fun_{sl_{2}} V [0]$ of functions on the Cartan subalgebra of $sl_{2}$ with values in the zero weight subspace $V [0]$ of a tensor product of ir…

math-ph2019

Incarnations of XXX $sl_{N}$ Bethe ansatz equations and integrable hierarchies

Igor Krichever, Alexander Varchenko

We consider the space of solutions of the Bethe ansatz equations of the $sl_{N}$ XXX quantum integrable model, associated with the trivial representation of $\wideha…

math-ph2018

Dynamical elliptic Bethe algebra, KZB eigenfunctions, and theta-polynomials

Daniel Thompson, Alexander Varchenko

Let $(\otimes_{j = 1}^{n} V_{j}) [0]$ be the zero weight subspace of a tensor product of finite-dimensional irreducible $sl_{2}$ -modules. The dynamical elliptic Bethe algebra is a com…

On the number of p-hypergeometric solutions of KZ equations

Dynamical sl2​ Bethe algebra and functions on pairs of quasi-polynomials

Incarnations of XXX slN​​ Bethe ansatz equations and integrable hierarchies

Dynamical elliptic Bethe algebra, KZB eigenfunctions, and theta-polynomials

On the number of $p$ -hypergeometric solutions of KZ equations

Dynamical $sl_{2}$ Bethe algebra and functions on pairs of quasi-polynomials

Incarnations of XXX $sl_{N}$ Bethe ansatz equations and integrable hierarchies