T-duality of curvature terms in D-brane actions

Abstract

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(α'^2) terms of the corresponding disk-level scattering amplitude.

14 pages, no figure; v4: minor corrections in section 2, the result does not change

References in corpus (3)

• Dielectric-Branes
• Curvature terms in D-brane actions and their M-theory origin
• Multiple Dp-branes in Weak Background Fields

Cited by in corpus (29)

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• Loops, Local Corrections and Warping in the LVS and other Type IIB Models
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• New Examples of Flux Vacua
• T-duality of D-brane action at order ${\alpha }^{\prime }$ in bosonic string theory
• On D-brane action at order ${\alpha }^{\prime 2}$
• Higher derivative corrections to WZ action: One RR, one NSNS and one NS couplings
• S-duality constraint on higher-derivative couplings
• An off-shell D-brane action at order ${\alpha }^{\prime 2}$ in flat spacetime
• Higher-derivative couplings and torsional Riemann curvature
• Higher derivative corrections to DBI action at ${\alpha }^{\prime 2}$ order
• On T-duality of $R^2$-corrections to DBI action at all orders of gauge field