T-duality of D-brane action at order ${\alpha }^{\prime }$ in bosonic string theory

Abstract

In bosonic string theory, it is known that the Buscher rules for the T-duality transformations receive quantum corrections at order ${\alpha }^{\prime }$. In this paper, we use the consistency of the gravity couplings on the D-brane effective action at order ${\alpha }^{\prime }$, with the above T-duality transformations to find the B-field and the dilaton couplings. We show that these couplings are fully consistent with the corresponding disk-level S-matrix elements in string theory.

19 pages, Latex file, no figure; v2:minor corrections in section 3, it appears in JHEP

References in corpus (23)

• Dielectric-Branes
• Target Space Duality in String Theory
• Double Field Theory
• Closed String Field Theory: Quantum Action and the BV Master Equation
• Introduction to string field theory
• Generalized metric formulation of double field theory
• Duality in the Type--II Superstring Effective Action
• D-brane dynamics
• Background independent action for double field theory
• Duality of Type II 7-branes and 8-branes
• An Introduction to T-Duality in String Theory
• An Sl(2,Z) Multiplet of Nine-Dimensional Type II Supergravity Theories
• A field-theory motivated approach to symbolic computer algebra
• T-Duality, Space-time Spinors and R-R Fields in Curved Backgrounds
• Curvature terms in D-brane actions and their M-theory origin
• Symmetries of higher-order string gravity actions
• Introducing Cadabra: a symbolic computer algebra system for field theory problems
• Duality Beyond the First Loop
• Einstein-Hilbert action on the brane for the bulk graviton
• T-duality of curvature terms in D-brane actions
• Brane dynamics for treatment of cosmic strings and vortons
• Gravity on Noncommutative D-Branes
• S-duality of D-brane action at order $O({\alpha }^{\prime 2})$

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• Higher derivative corrections to WZ action: One RR, one NSNS and one NS couplings
• T-duality invariant effective actions at orders ${\alpha }^{\prime },{\alpha }^{\prime 2}$
• S-duality constraint on higher-derivative couplings
• T-duality of ${\alpha }^{\prime }$-correction to DBI action at all orders of gauge field
• On T-duality of $R^2$-corrections to DBI action at all orders of gauge field
• T-duality of D-brane versus O-plane actions