A. Varchenko

activity

19952023

most citedBethe eigenvectors of higher transfer matrices

52 citations · 272 across the 49 of their papers we have counts for

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Showing 2023Show all

4 papers · 1 filter

math-ph2023

Hypergeometric integrals, hook formulas and Whittaker vectors

G. Felder, A. Smirnov, V. Tarasov +1

We determine the coefficient of proportionality between two multidimensional hypergeometric integrals. One of them is a solution of the dynamical difference equations associated wi…

math-ph2023

Polynomial superpotential for Grassmannian $G r (k, n)$ from a limit of vertex function

Andrey Smirnov, Alexander Varchenko

In this note we discuss an integral representation for the vertex function of the cotangent bundle over the Grassmannian, $X = T^{*} G r (k, n)$ . This integral representation can be use…

math.AG2023

Polynomial Solutions Modulo $p^{s}$ of Differential KZ and Dynamical Equations

Pavel Etingof, Alexander Varchenko

We construct polynomial solutions modulo $p^{s}$ of the differential KZ and dynamical equations where $p$ is an odd prime number.

math-ph2023★ 2 cited

The p-adic approximations of vertex functions via 3D-mirror symmetry

Andrey Smirnov, Alexander Varchenko

Using the $3 D$ mirror symmetry we construct a system of polynomials $T_{s} (z)$ with integral coefficients which solve the quantum differential equitation of $X = T^{*} G r (k, n)$ modulo…

Hypergeometric integrals, hook formulas and Whittaker vectors

Polynomial superpotential for Grassmannian Gr(k,n) from a limit of vertex function

Polynomial Solutions Modulo ps of Differential KZ and Dynamical Equations

The p-adic approximations of vertex functions via 3D-mirror symmetry

Polynomial superpotential for Grassmannian $G r (k, n)$ from a limit of vertex function

Polynomial Solutions Modulo $p^{s}$ of Differential KZ and Dynamical Equations