T-duality of curvature terms in D-brane actions

Details T-duality of curvature terms in D-brane actions T-duality of curvature terms in D-brane actions

2009-11-02

arxiv.org/abs/0911.0255v2

JHEP 1002:002,2010

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, no figure; v2: minor corrections, to appear in JHEP

Scientific paper

10.1007/JHEP02(2010)002

We examine the known curvature terms in the DBI part of the D-brane action under the T-duality transformation. Using the compatibility of the action with the standard rules of T-duality at the linear order as a guiding principle, we include the appropriate NS-NS $B$-field terms in the action and show that they reproduce the O(\alpha'^2) terms of the corresponding disk-level scattering amplitude. Consistency with the T-duality transformations indicates that, apart from the overall factor of e^{-\phi}, there may be no dilaton coupling in the string frame action. We check this by the scattering amplitude at order O(\alpha'^2).

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