A duality Hopf algebra for holomorphic N=1 special geometries

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dc.creatorSchlesinger, Karl-Georg
dc.date2004-02-04
dc.date.accessioned2026-07-07T05:05:07Z
dc.date.available2026-07-07T05:05:07Z
dc.descriptionWe find a self-dual noncommutative and noncocommutative Hopf algebra acting as a universal symmetry on the modules over inner Frobenius algebras of modular categories (as used in two dimensional boundary conformal field theory) similar to the Grothendieck-Teichmueller group GT as introduced by Drinfeld as a universal symmetry of quasitriangular quasi-Hopf algebras. We discuss the relationship to a similar self-dual, noncommutative, and noncocommutative Hopf algebra, previously found as the universal symmetry of trialgebras and three dimensional extended topological quantum field theories. As an application of our result, we get a transitive action of a sub-Hopf algebra of the latter universal symmetry algebra on the relative period matrices of holomorphic N=1 special geometries.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0402061
dc.identifierhttp://arxiv.org/abs/math/0402061
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70061
dc.subjectCategory Theory
dc.subject81 T30; 81 T40
dc.titleA duality Hopf algebra for holomorphic N=1 special geometries
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