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  • 1
    Electronic Resource
    Electronic Resource
    An elliptic quantum algebra for $$\widehat{s1}_2 $$ 2 (1994)
    Springer
    Letters in mathematical physics 32 (1994), S. 259-268 
    Details
    ISSN: 1573-0530
    Keywords: 17B37 ; 82A67
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract An elliptic deformation of $$\widehat{s1}_2 $$ is proposed. Our presentation of the algebra is based on the relationRLL = LLR *, whereR andR * are eight-vertexR-matrices with the elliptic moduli chosen differently. In the trigonometric limit, this algebra reduces to a quotient of that proposed by Reshetikhin and Semenov-Tian-Shansky. Conjectures concerning highest-weight modules and vertex operators are formulated, and the physical interpretation ofR * is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00750668
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Thermodynamics of the 3-state Potts Spin chain (1993)
    Springer
    Journal of statistical physics 71 (1993), S. 903-921 
    Details
    ISSN: 1572-9613
    Keywords: 3-state Potts ; Bethe ansatz ; quasiparticles ; central charge ; specific heat ; infrared anomaly ; spin chain
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We demonstrate the relation of the infrared momentum restrictions of conformal field theory with entropy considerations of finite-temperature thermodynamics for the 3-state Potts chain. We compute the free energy and obtain the low-temperature specific heat for both the ferromagnetic and antiferromagnetic spin chains, and find the central charges for both.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01049954
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  • 3
    Electronic Resource
    Electronic Resource
    Construction of modular branching functions from Bethe's equations in the 3-state Potts chain (1993)
    Springer
    Journal of statistical physics 71 (1993), S. 865-901 
    Details
    ISSN: 1572-9613
    Keywords: Affine Lie algebras ; conformal field theory ; parafermions ; modular invariant partition function ; quasiparticles
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We use the single-particle excitation energies and the completeness rules of the 3-state antiferromagnetic Potts chain, which have been obtained from Bethe's equation, to compute the modular invariant partition function. This provides a fermionic construction for the branching functions of theD 4 representation ofZ 4 parafermions which complements the bosonic constructions. It is found that there are oscillations in some of the correlations and a new connection with the field theory of the Lee-Yang edge is presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01049953
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Virasoro characters from bethe equations for the critical ferromagnetic three-state potts model (1994)
    Springer
    Journal of statistical physics 74 (1994), S. 239-274 
    Details
    ISSN: 1572-9613
    Keywords: Three-state Potts ; BEthe equations ; conformal field theory ; quasiparticles ; affine Lie algebras ; Virasoro characters
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We obtain new fermionic sum representations for the Virasoro characters of the conformal field theory describing the ferromagnetic three-state Potts spin chain. These arise from the fermionic quasiparticle excitations derived from the Bethe equations for the eigenvalues of the Hamiltonian. In the conformal scaling limit, the Bethe equations provide a description of the spectrum in terms of one genuine quasiparticle and two “ghost” excitations with a limited microscopic momentum range. This description is reflected in the structure of the character formulas, and suggests a connection with the integrable perturbation of dimensions (2/3, 2/3)+ which breaks theS 3 symmetry of the conformal field theory down toZ 2.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02186814
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