Flux Compactifications on Projective Spaces and The S-Duality Puzzle

dc.creatorBouwknegt, P.
dc.creatorEvslin, J.
dc.creatorJurco, B.
dc.creatorMathai, V.
dc.creatorSati, H.
dc.date2005-01-14
dc.date2006-07-03
dc.date.accessioned2026-07-07T06:38:26Z
dc.date.available2026-07-07T06:38:26Z
dc.descriptionWe derive a formula for D3-brane charge on a compact spacetime, which includes torsion corrections to the tadpole cancellation condition. We use this to classify D-branes and RR fluxes in type II string theory on RP^3xRP^{2k+1}xS^{6-2k} with torsion H-flux and to demonstrate the conjectured T-duality to S^3xS^{2k+1}xS^{6-2k} with no flux. When k=1, H\neq 0 and so the K-theory that classifies fluxes is twisted. When k=2 the square of the H-flux yields an S-dual Freed-Witten anomaly which is canceled by a D3-brane insertion that ruins the K-theory classification. When k=3 the cube of H is nontrivial and so the D3 insertion may itself be inconsistent and the compactification unphysical. Along the way we provide a physical interpretation for the AHSS in terms of boundaries of branes within branes.
dc.description43 pages, 4 eps figures; minor corrections, mostly typos; published version
dc.identifierhttps://arxiv.org/abs/hep-th/0501110
dc.identifierhttp://arxiv.org/abs/hep-th/0501110
dc.identifierAdv.Theor.Math.Phys. 10 (2006) 345-394
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100732
dc.subjectHigh Energy Physics - Theory
dc.titleFlux Compactifications on Projective Spaces and The S-Duality Puzzle
dc.typetext

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