(Super)conformal algebra on the (super)torus

Luca Mezincescu, I. Nepomechie, Cosmas K. Zachos

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


A generalization of the Virasoro algebra has recently been introduced by Krichever and Novikov (KN). The KN algebra describes the algebra of general conformal transformations in a basis appropriate to a genus-g Riemann surface. We examine in detail the genus-one KN algebra, and find explicit expressions for the central extension. We, further, construct explicitly the superconformal algebra of the supertorus, which yields supersymmetric generalizations of the genus-one KN algebra. A novel feature of the odd-spin-structure case is that the algebra includes a central element which is anticommuting. We comment on possible applications to string theory.

Original languageEnglish (US)
Pages (from-to)43-78
Number of pages36
JournalNuclear Physics, Section B
Issue number1
StatePublished - Mar 13 1989

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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