Toric Resolutions of Heterotic Orbifolds

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dc.creatorNibbelink, Stefan Groot
dc.creatorHa, Tae-Won
dc.creatorTrapletti, Michele
dc.date2007-07-11
dc.date2007-07-24
dc.date.accessioned2026-07-07T11:17:43Z
dc.date.available2026-07-07T11:17:43Z
dc.descriptionWe investigate resolutions of heterotic orbifolds using toric geometry. Our starting point is provided by the recently constructed heterotic models on explicit blowup of C^n/Z_n singularities. We show that the values of the relevant integrals, computed there, can be obtained as integrals of divisors (complex codimension one hypersurfaces) interpreted as (1,1)-forms in toric geometry. Motivated by this we give a self contained introduction to toric geometry for non-experts, focusing on those issues relevant for the construction of heterotic models on toric orbifold resolutions. We illustrate the methods by building heterotic models on the resolutions of C^2/Z_3, C^3/Z_4 and C^3/Z_2xZ_2'. We are able to obtain a direct identification between them and the known orbifold models. In the C^3/Z_2xZ_2' case we observe that, in spite of the existence of two inequivalent resolutions, fully consistent blowup models of heterotic orbifolds can only be constructed on one of them.
dc.description1+34 pages LaTeX with 5 figures, some wording changed and references added
dc.identifierhttps://arxiv.org/abs/0707.1597
dc.identifierhttp://arxiv.org/abs/0707.1597
dc.identifierPhys.Rev.D77:026002,2008
dc.identifierdoi:10.1103/PhysRevD.77.026002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193104
dc.subjectHigh Energy Physics - Theory
dc.titleToric Resolutions of Heterotic Orbifolds
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