Inhomogenous Model of Crossing Loops and Multidegrees of Some Algebraic Varieties

Inhomogenous Model of Crossing Loops and Multidegrees of Some Algebraic Varieties

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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Veröffentlicht in:Communications in mathematical physics 2006-03, Vol.262 (2), p.459-487
Hauptverfasser: Francesco, P. Di, Zinn-Justin, P.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Algebraic Geometry
Combinatorics
Eigenvectors
Exactly Solvable and Integrable Systems
Mathematical Physics
Mathematics
Nonlinear Sciences
Physics
Sum rules
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Zusammenfassung: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.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-005-1476-5