Lectures on Elliptic Functions and Modular Forms in Conformal Field Theory

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dc.creatorNikolov, Nikolay M.
dc.creatorTodorov, Ivan T.
dc.date2004-12-13
dc.date2005-01-03
dc.date.accessioned2026-07-07T04:31:43Z
dc.date.available2026-07-07T04:31:43Z
dc.descriptionA concise review of the notions of elliptic functions, modular forms, and theta-functions is provided, devoting most of the paper to applications to Conformal Field Theory (CFT), introduced within the axiomatic framework of quantum field theory. Many features, believed to be peculiar to chiral 2D (= two dimensional) CFT, are shown to have a counterpart in any (even dimensional) globally conformal invariant quantum field theory. The treatment is based on a recently introduced higher dimensional extension of the concept of vertex algebra.
dc.description87 pages, LaTex, New Appendix C and references added, minor corrections
dc.identifierhttps://arxiv.org/abs/math-ph/0412039
dc.identifierhttp://arxiv.org/abs/math-ph/0412039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57923
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.titleLectures on Elliptic Functions and Modular Forms in Conformal Field Theory
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