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Inhomogenous Model of Crossing Loops and Multidegrees of Some Algebraic Varieties |
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| Authors: | P. Di Francesco P. Zinn-Justin |
| Affiliation: | (1) Service de Physique Théorique de Saclay, CEA/DSM/SPhT, URA 2306 du CNRS, C.E.A.-Saclay, 91191 Gif sur Yvette Cedex, France;(2) LIFR–MIIP, Independent University, 119002, Bolshoy Vlasyevskiy Pereulok 11, Moscow, Russia;(3) Laboratoire de Physique Théorique et Modèles Statistiques, UMR 8626 du CNRS, Université Paris-Sud, Batiment 100, 91405 Orsay Cedex, France |
| 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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