Flux Compactifications on Projective Spaces and The S-Duality Puzzle

Details Flux Compactifications on Projective Spaces and The S-Duality Puzzle Flux Compactifications on Projective Spaces and The S-Duality Puzzle

2005-01-14

arxiv.org/abs/hep-th/0501110v2

Adv.Theor.Math.Phys. 10 (2006) 345-394

Physics

High Energy Physics

High Energy Physics - Theory

43 pages, 4 eps figures; minor corrections, mostly typos; published version

Scientific paper

We 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.

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