The sums of Rogers, Schur and Ramanujan and the Bose-Fermi correspondence in $1+1$-dimensional quantum field theory

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dc.creatorKedem, Rinat
dc.creatorMcCoy, Barry M.
dc.creatorMelzer, Ezer
dc.date1993-04-14
dc.date1993-05-03
dc.date.accessioned2026-07-07T09:01:10Z
dc.date.available2026-07-07T09:01:10Z
dc.descriptionWe discuss the relation of the two types of sums in the Rogers-Schur-Ramanujan identities with the Bose-Fermi correspondence of massless quantum field theory in $1+1$ dimensions. One type, which generalizes to sums which appear in the Weyl-Kac character formula for representations of affine Lie algebras and in expressions for their branching functions, is related to bosonic descriptions of the spectrum of the field theory (associated with the Feigin-Fuchs construction in conformal field theory). Fermionic descriptions of the same spectrum are obtained via generalizations of the other type of sums. We here summarize recent results for such fermionic sum representations of characters and branching functions. (To appear in C.N. Yang's 70th birthday Festschrift.)
dc.description28/17 pages in harvmac, ITP-SB-93-19. [a few refs added]
dc.identifierhttps://arxiv.org/abs/hep-th/9304056
dc.identifierhttp://arxiv.org/abs/hep-th/9304056
dc.identifierin Recent Progress in Statistical Mechanics and Quantum Field Theory, ed. P. Bouwknegt et al, World Scientific , (Singapore 1995) 195
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148234
dc.subjectHigh Energy Physics - Theory
dc.titleThe sums of Rogers, Schur and Ramanujan and the Bose-Fermi correspondence in $1+1$-dimensional quantum field theory
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