Inhomogenous model of crossing loops and multidegrees of some algebraic varieties

2004/12/10 by P. Di Francesco, Di Francesco, P., P. Zinn-Justin +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AG #math.CO #math.MP #nlin.SI

paper · pdf · doi:10.48550/arxiv.math-ph/0412031

revised v3: filled gap in proof of thm 2

arxiv created 2005/04/25 · arxiv updated 2009/12/01

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.

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