N[sup n(n[minus]1)/2]-state intertwiner related to U[sub q](sl(n)) algebra at q[sup 2N] = 1

Journal Article · Mon Sep 28 00:00:00 EDT 1992 · Modern Physics Letters A; (Singapore)

DOI:https://doi.org/10.1142/S0217732392004201· OSTI ID:6912544

Kashaev, R M; Mangazeev, V V ^[1]

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1. Inst. for High Energy, Physics, Protvino, Moscow Region (USSR)

In this paper, the N[sup n(n [minus] 1)/2]-state R-matrix related to U[sub q](sl(n)) algebra of q[sup 2N] = 1 is presented. Its matrix elements are interpreted as Boltzmann weights of an elementary box of some 2D lattice statistical model and given in terms of [bar W] weights of the minimal sl(n) chiral Potts model. The corresponding family of transfer matrices depends on n rapidity variables living on high genus algebraic curves, the latter being defined by n moduli. The Yang-Baxter equation is conjectured to hold.

• OSTI ID: 6912544
• Journal Information: Modern Physics Letters A; (Singapore), Vol. 7:30; ISSN 0217-7323
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
R MATRIX
ENERGY LEVELS
MATRIX ELEMENTS
QUANTUM MECHANICS
STATISTICAL MODELS
TRANSFER MATRIX METHOD
TWO-DIMENSIONAL CALCULATIONS
MATHEMATICAL MODELS
MATHEMATICS
MATRICES
MECHANICS
662120* - General Theory of Particles & Fields- Symmetry
Conservation Laws
Currents & Their Properties- (1992-)
661100 - Classical & Quantum Mechanics- (1992-)