Inhomogenous model of crossing loops and multidegrees of some algebraic varieties

Physics – Mathematical Physics

Scientific paper

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revised v3: filled gap in proof of thm 2

Scientific paper

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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