Non-geometric flux vacua, S-duality and algebraic geometry

dc.creatorGuarino, Adolfo
dc.creatorWeatherill, George James
dc.date2008-11-13
dc.date2009-02-16
dc.date.accessioned2026-07-07T12:44:01Z
dc.date.available2026-07-07T12:44:01Z
dc.descriptionThe four dimensional gauged supergravities descending from non-geometric string compactifications involve a wide class of flux objects which are needed to make the theory invariant under duality transformations at the effective level. Additionally, complex algebraic conditions involving these fluxes arise from Bianchi identities and tadpole cancellations in the effective theory. In this work we study a simple T and S-duality invariant gauged supergravity, that of a type IIB string compactified on a $T^6/(Z_2 x Z_2)$ orientifold with O3/O7-planes. We build upon the results of recent works and develop a systematic method for solving all the flux constraints based on the algebra structure underlying the fluxes. Starting with the T-duality invariant supergravity, we find that the fluxes needed to restore S-duality can be simply implemented as linear deformations of the gauge subalgebra by an element of its second cohomology class. Algebraic geometry techniques are extensively used to solve these constraints and supersymmetric vacua, centering our attention on Minkowski solutions, become systematically computable and are also provided to clarify the methods.
dc.description47 pages, 10 tables, typos corrected, Accepted for Publication in Journal of High Energy Physics
dc.identifierhttps://arxiv.org/abs/0811.2190
dc.identifierhttp://arxiv.org/abs/0811.2190
dc.identifierJHEP 0902:042,2009
dc.identifierdoi:10.1088/1126-6708/2009/02/042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220626
dc.subjectHigh Energy Physics - Theory
dc.titleNon-geometric flux vacua, S-duality and algebraic geometry
dc.typetext

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