Inhomogenous model of crossing loops and multidegrees of some algebraic varieties

P. Di Francesco ¹, Paul Zinn-Justin ²

Communications in Mathematical Physics 262 (2006) 459-487

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.

• 1. Service de Physique Théorique (SPhT),
  CNRS : URA2306 – CEA : DSM/SPHT
• 2. Laboratoire de Physique Théorique et Hautes Energies (LPTHE),
  CNRS : UMR7589 – Université Paris VI – Pierre et Marie Curie – Université Paris VII – Paris Diderot