Lattice Virasoro algebra and corner transfer matrices in the Baxter eight-vertex model

Journal Article · Mon Apr 06 00:00:00 EDT 1987 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.58.1395· OSTI ID:6686517

Itoyama, H; Thacker, H B

A lattice Virasoro algebra is constructed for the Baxter eight-vertex model. The operator L/sub 0/ is obtained from the logarithm of the corner transfer matrix and is given by the first moment of the XYZ spin-chain Hamiltonian. The algebra is valid even when the Hamiltonian includes a mass term, in which case it represents lattice coordinate transformations which distinguish between even and odd sublattices. We apply the quantum inverse scattering method to demonstrate that the Virasoro algebra follows from the Yang-Baxter relations.

• Research Organization: Fermi National Accelerator Laboratory, Batavia, Illinois 60510
• OSTI ID: 6686517
• Journal Information: Phys. Rev. Lett.; (United States), Vol. 58:14
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
TRANSFER MATRIX METHOD
CONFORMAL INVARIANCE
COMMUTATION RELATIONS
HAMILTONIANS
INVERSE SCATTERING PROBLEM
MATHEMATICAL OPERATORS
INVARIANCE PRINCIPLES
QUANTUM OPERATORS
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics