On T-duality of $R^2$-corrections to DBI action at all orders of gauge field

Abstract

Recently, it has been observed that in a T-duality invariant world-volume theory in flat spacetime, all orders of gauge field strength and all orders of the D-brane velocity appear in two specific matrices. Using these two matrices, we construct the world-volume couplings of two massless NSNS states at order ${\alpha }^{\prime 2}$ and all orders of the velocity and the gauge field strength, by requiring them to be invariant under the linear T-duality. The standard extension $F\to F+P[B]$, then produces all orders of the pull-back of B-field into the action. We compare the resulting couplings for zero velocity and gauge field strength, with the ${\alpha }^{\prime 2}$ terms of the disk-level S-matrix element of two massless NSNS vertex operators in the presence of a constant background B-field. We have found an exact agreement.

13 pages

References in corpus (3)

• On D-brane action at order ${\alpha }^{\prime 2}$
• On Curvature-Squared Corrections for D-brane Actions
• T-duality of ${\alpha }^{\prime }$-correction to DBI action at all orders of gauge field

Cited by in corpus (3)

• ${\alpha }^{\prime }$-corrections to DBI action via T-duality constraint
• T-duality of ${\alpha }^{\prime }$-correction to DBI action at all orders of gauge field
• Gravitational Couplings on D-brane Revisited