Aspects of Conformal Field Theory from Calabi-Yau Arithmetic

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dc.creatorSchimmrigk, Rolf
dc.date2002-09-13
dc.date.accessioned2026-07-07T04:50:50Z
dc.date.available2026-07-07T04:50:50Z
dc.descriptionThis paper describes a framework in which techniques from arithmetic algebraic geometry are used to formulate a direct and intrinsic link between the geometry of Calabi-Yau manifolds and aspects of the underlying conformal field theory. As an application the algebraic number field determined by the fusion rules of the conformal field theory is derived from the number theoretic structure of the cohomological Hasse-Weil L-function determined by Artin's congruent zeta function of the algebraic variety. In this context a natural number theoretic characterization arises for the quantum dimensions in this geometrically determined algebraic number field.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/math/0209168
dc.identifierhttp://arxiv.org/abs/math/0209168
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64938
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subject11G25; 11G40; 14G10; 14G40
dc.titleAspects of Conformal Field Theory from Calabi-Yau Arithmetic
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