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https://hdl.handle.net/2440/23819
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Type: | Journal article |
Title: | Flux compactifications on projective spaces and the S-duality puzzle |
Author: | Bouwknegt, P. Evslin, J. Jurco, B. Varghese, M. Sati, H. |
Citation: | Advances in Theoretical and Mathematical Physics, 2006; 10(3):345-394 |
Publisher: | International Press |
Issue Date: | 2006 |
ISSN: | 1095-0761 1095-0753 |
Statement of Responsibility: | P. Bouwknegt, J. Evslin, B. Jurco, V. Mathai, and H. Sati |
Abstract: | 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. |
Description: | First published in Advances in Theoretical and Mathematical Physics in volume 10, 2006 published by International Press. |
DOI: | 10.4310/ATMP.2006.v10.n3.a3 |
Description (link): | http://www.intlpress.com/ATMP/ATMP-issue_10_3.php |
Published version: | http://dx.doi.org/10.4310/atmp.2006.v10.n3.a3 |
Appears in Collections: | Aurora harvest 6 Mathematical Sciences publications |
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