Non-Perturbative Corrections and Modularity in N=1 Type IIB Compactifications

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dc.creatorGrimm, Thomas W.
dc.date2007-05-23
dc.date2007-06-04
dc.date.accessioned2026-07-07T13:09:31Z
dc.date.available2026-07-07T13:09:31Z
dc.descriptionNon-perturbative corrections and modular properties of four-dimensional type IIB Calabi-Yau orientifolds are discussed. It is shown that certain non-perturbative alpha' corrections survive in the large volume limit of the orientifold and periodically correct the Kahler potential. These corrections depend on the NS-NS two form and have to be completed by D-instanton contributions to transform covariantely under symmetries of the type IIB orientifold background. It is shown that generically also the D-instanton superpotential depends on the two-form moduli as well as on the complex dilaton. These contributions can arise through theta-functions with the dilaton as modular parameter. An orientifold of the Enriques Calabi-Yau allows to illustrate these general considerations. It is shown that this compactification leads to a controlled four-dimensional N=1 effective theory due to the absence of various quantum corrections. Making contact to the underlying topological string theory the D-instanton superpotential is proposed to be related to a specific modular form counting D3, D1, D(-1) degeneracies on the Enriques Calabi-Yau.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/0705.3253
dc.identifierhttp://arxiv.org/abs/0705.3253
dc.identifierJHEP 0710:004,2007
dc.identifierdoi:10.1088/1126-6708/2007/10/004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228762
dc.subjectHigh Energy Physics - Theory
dc.titleNon-Perturbative Corrections and Modularity in N=1 Type IIB Compactifications
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