Supersymmetric Analogs of the Gordon-Andrews Identities, and Related TBA Systems

dc.creatorMelzer, Ezer
dc.date1994-12-18
dc.date.accessioned2026-07-07T04:20:55Z
dc.date.available2026-07-07T04:20:55Z
dc.descriptionThe Gordon-Andrews identities, which generalize the Rogers-Ramanujan-Schur identities, provide product and fermionic forms for the characters of the minimal conformal field theories (CFTs) M(2,2k+1). We discuss/conjecture identities of a similar type, providing two different fermionic forms for the characters of the models SM(2,4k) in the minimal series of N=1 super-CFTs. These two forms are related to two families of thermodynamic Bethe Ansatz (TBA) systems, which are argued to be associated with the $\hatϕ_{1,3}^{\rm top}$- and $\hatϕ_{1,5}^{\rm bot}$-perturbations of the models SM(2,4k). Certain other q-series identities and TBA systems are also discussed, as well as a possible representation-theoretical consequence of our results, based on Andrews's generalization of the Gollnitz-Gordon theorem.
dc.description20 pages, using harvmac (b)
dc.identifierhttps://arxiv.org/abs/hep-th/9412154
dc.identifierhttp://arxiv.org/abs/hep-th/9412154
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/54116
dc.subjectHigh Energy Physics - Theory
dc.titleSupersymmetric Analogs of the Gordon-Andrews Identities, and Related TBA Systems
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