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Flux compactifications on projective spaces and the S-duality puzzle

par Bouwknegt, Peter;Evslin, JARAH J ;Jurčo, Branislav;Mathai, Varghese;Sati, Hisham
Référence Advances in theoretical and mathematical physics, 10, 3, page (345-394)
Publication Publié, 2006-06

Article révisé par les pairs

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Résumé :

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 Ramond-Ramond fluxes in type II string theory on R{double-struck}P3 × R{double-struck}P2k+1 × S6-2k with torsion H-flux and to demonstrate the conjectured T-duality to S3 × S2k+1 × S6-2k with no flux. When k = 1, H = 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 dual K-theory flux 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 Atiyah-Hirzebruch spectral sequence in terms of the boundaries of branes within branes. © 2006 International Press.