English

Inhomogenous model of crossing loops and multidegrees of some algebraic varieties

Mathematical Physics 2007-05-23 v4 Algebraic Geometry Combinatorics math.MP Exactly Solvable and Integrable Systems

Abstract

We consider a quantum integrable inhomogeneous model based on the Brauer algebra B(1) and discuss the properties of its ground state eigenvector. In particular we derive various sum rules, and show how some of its entries are related to multidegrees of algebraic varieties.

Keywords

Cite

@article{arxiv.math-ph/0412031,
  title  = {Inhomogenous model of crossing loops and multidegrees of some algebraic varieties},
  author = {P. Di Francesco and P. Zinn-Justin},
  journal= {arXiv preprint arXiv:math-ph/0412031},
  year   = {2007}
}

Comments

revised v3: filled gap in proof of thm 2