The hidden quantum group of the eight-vertex free fermion model: q-Clifford algebras

Cuerno, Rodolfo; Gómez, César; López Manzanares, Esperanza; Sierra, Germán

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The hidden quantum group of the eight-vertex free fermion model: q-Clifford algebras

Author(s): Cuerno, Rodolfo; Gómez, César; López Manzanares, Esperanza; Sierra, Germán

Publisher: Elsevier

Issued date: 1993-06-10

Citation: Physics Letters B, 1993, vol. 307, n. 1-2, p. 56-60

ISSN: 0370-2693

DOI: https://www.doi.org/10.1016/0370-2693(93)90192-K

Sponsor: The work of R.C. and E.L. is supported by M.E.C. fellowships.

Review: PeerReviewed

Publisher version: http://dx.doi.org/10.1016/0370-2693(93)90192-K

Keywords: [MSC] Statistical mechanics, structure of matter: Exactly solvable models; Bethe ansatz , [MSC] Quantum groups (quantized enveloping algebras) and related deformations , [MSC] Quantum groups and related algebraic methods

URI: http://hdl.handle.net/10016/7151

Rights: © Elsevier

Abstract:

We prove in this paper that the elliptic R-matrix of the eight vertex free fermion model is the intertwiner R-matrix of a quantum deformed Clifford-Hopf algebra. This algebra is constructed by affinization of a quantum Hopf deformation of the Clifford algebra. [+]