T-duality of ${\alpha }^{\prime }$-correction to DBI action at all orders of gauge field

Abstract

By explicit calculations of four-field couplings, we observe that the higher derivative corrections to the DBI action in flat space-time, can be either in a covariant form or in a T-duality invariant form. The two forms are related by a non-covariant field redefinition. Using this observation, we then propose a non-covariant but T-duality invariant action which includes all orders of massless fields and has two extra derivatives with respect to the DBI action.

16 pages, latex file, no figure; v3:minor modification, it appears in NPB

References in corpus (6)

• Open/closed string duality and relativistic fluids
• The Born-Infeld/Gravity Correspondence
• On D-brane action at order ${\alpha }^{\prime 2}$
• On Curvature-Squared Corrections for D-brane Actions
• On T-duality of $R^2$-corrections to DBI action at all orders of gauge field
• T-duality of O-plane action at order ${\alpha }^{\prime 2}$

Cited by in corpus (6)

• Duality constraints on effective actions
• Couplings of order six in the gauge field strength and the second fundamental form on a D${}_p$-brane at order ${\alpha }^{\prime 2}$
• ${\alpha }^{\prime }$-corrections to DBI action via T-duality constraint
• T-duality invariant effective actions at orders ${\alpha }^{\prime },{\alpha }^{\prime 2}$
• On T-duality of $R^2$-corrections to DBI action at all orders of gauge field
• Effective Action of a Dynamical D$p$-brane with Background Fluxes