54 citations · 240 across the 41 of their papers we have counts for
Showing 2013Show all
3 papers · 1 filter
math-ph2013★ 40 cited
K-theoretic boson-fermion correspondence and melting crystals
Kohei Motegi, Kazumitsu Sakai
We study non-Hermitian integrable fermion and boson systems from the perspectives of Grothendieck polynomials. The models considered in this article are the five-vertex model as a…
math-ph2013★ 54 cited
Vertex models, TASEP and Grothendieck polynomials
Kohei Motegi, Kazumitsu Sakai
We examine the wavefunctions and their scalar products of a one-parameter family of integrable five vertex models. At a special point of the parameter, the model investigated is re…
math-ph2013
Absence of finite size correction at the combinatorial point of the integrable higher spin XXZ chain
Kohei Motegi
We investigate the integrable higher spin XXZ chain at the Razumov-Stroganov point. We present a method to evaluate the exact value of the eigenvalue which is conjectured to corres…