Galois Groups in Rational Conformal Field Theory

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dc.creatorGepner, Doron
dc.date2006-06-09
dc.date2006-08-23
dc.date.accessioned2026-07-07T11:27:29Z
dc.date.available2026-07-07T11:27:29Z
dc.descriptionIt was established before that fusion rings in a rational conformal field theory (RCFT) can be described as rings of polynomials, with integer coefficients, modulo some relations. We use the Galois group of these relations to obtain a local set of equation for the points of the fusion variety. These equations are sufficient to classify all the RCFT, Galois group by Galois group. It is shown that the Galois group is equivalent to the pseudo RCFT group. We prove that the Galois groups encountered in RCFT are all abelian, implying solvability by radicals of the modular matrix.
dc.description24 pages. Typos corrected
dc.identifierhttps://arxiv.org/abs/hep-th/0606081
dc.identifierhttp://arxiv.org/abs/hep-th/0606081
dc.identifierInt.J.Mod.Phys.B22:343-358,2008
dc.identifierdoi:10.1142/S0217979208038661
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196164
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.subjectRings and Algebras
dc.titleGalois Groups in Rational Conformal Field Theory
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