On the equivalence of N=1 brane worlds and geometric singularities with flux

dc.creatorKaste, Peter
dc.creatorPartouche, Herve
dc.date2004-09-29
dc.date2004-12-07
dc.date.accessioned2026-07-07T10:50:19Z
dc.date.available2026-07-07T10:50:19Z
dc.descriptionWe consider Kaluza Klein reductions of M-theory on the Z_N orbifold of the spin bundle over S^3 along two different U(1) isometries. The first one gives rise to the familiar ``large N duality'' of the N=1 SU(N) gauge theory in which the UV is realized as the world-volume theory of N D6-branes wrapped on S^3, whereas the IR involves N units of RR flux through an S^2. The second reduction gives an equivalent version of this duality in which the UV is realized geometrically in terms of an S^2 of A_{N-1} singularities, with one unit of RR flux through the S^2. The IR is reached via a geometric transition and involves a single D6 brane on a lens space S^3/Z_N or, alternatively, a singular background (S^2\times R^4)/Z_N, with one unit of RR flux through S^2 and, localized at the singularities, an action of their stabilizer group in the U(1) RR gauge bundle, so that no massless twisted states occur. We also consider linear sigma-model descriptions of these backgrounds.
dc.description25 pages, LaTeX; v2: one reference added, published version
dc.identifierhttps://arxiv.org/abs/hep-th/0409303
dc.identifierhttp://arxiv.org/abs/hep-th/0409303
dc.identifierJHEP0411:033,2004
dc.identifierdoi:10.1088/1126-6708/2004/11/033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184497
dc.subjectHigh Energy Physics - Theory
dc.titleOn the equivalence of N=1 brane worlds and geometric singularities with flux
dc.typetext

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