Inhomogenous model of crossing loops and multidegrees of some algebraic varieties

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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.
revised v3: filled gap in proof of thm 2

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Mathematical Physics, Algebraic Geometry, Combinatorics, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/57920

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0412031
 http://arxiv.org/abs/math-ph/0412031

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arXiv