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Non-geometric Fluxes, Asymmetric Strings and Nonassociative Geometry

2011/06/01 by Ralph Blumenhagen, Andreas Deser, Dieter Lust +2 · 1 citation
Physics and Astronomy · Mathematics · #hep-th #math-ph #math.MP

paper · pdf · doi:10.1088/1751-8113/44/38/385401

37 + 15 pages, 2 figures

arxiv created 2011/06/01 · arxiv updated 2015/05/28

Abstract

We study closed bosonic strings propagating both in a flat background with constant H-flux and in its T-dual configurations. We define a conformal field theory capturing linear effects in the flux and compute scattering amplitudes of tachyons, where the Rogers dilogarithm plays a prominent role. For the scattering of four tachyons, a fluxed version of the Virasoro-Shapiro amplitude is derived and its pole structure is analyzed. In the case of an R-flux background obtained after three T-dualities, we find indications for a nonassociative target-space structure which can be described in terms of a deformed tri-product. Remarkably, this product is compatible with crossing symmetry of conformal correlation functions. We finally argue that the R-flux background flows to an asymmetric CFT.

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