T-duality of the Riemann curvature corrections to supergravity

Abstract

We examine the known Riemann curvature corrections to the supergravity action at order ${\alpha }^{\prime 3}$ under the T-duality transformations. Using the compatibility of the action with the linear T-duality and with the S-matrix calculations as guiding principles, we have found the couplings of four $B$-field strengths and the couplings of two Riemann curvatures and two $B$-field strengths at order ${\alpha }^{\prime 3}$. Using the S-matrix calculations we have also found new dilaton couplings in the string frame at this order.

16 pages, latex file, no figure, the version appears in PLB

References in corpus (4)

• Higher Derivative Brane Couplings from T-Duality
• Ramond-Ramond field strength couplings on D-branes
• T-duality of anomalous Chern-Simons couplings
• On RR couplings on D-branes at order $O({\alpha }^{\prime 2})$

Cited by in corpus (23)

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• The Subleading Eikonal in Supergravity Theories
• Revisiting the S-matrix approach to the open superstring low energy effective lagrangian
• Duality constraints on effective actions
• Duality completion of higher derivative corrections
• Ricci curvature corrections to type II supergravity
• Minimal gauge invariant couplings at order ${\alpha }^{\prime 3}$: NS-NS fields
• On NS-NS couplings at order ${\alpha }^{\prime 3}$
• Higher Derivative Corrections to O-plane Actions: NS-NS Sector
• On Higher Derivative Couplings in Theories with Sixteen Supersymmetries
• Ramond-Ramond corrections to type II supergravity at order ${\alpha }^{\prime 3}$
• New Examples of Flux Vacua
• T-duality and hints of generalized geometry in string ${\alpha }^{\prime }$ corrections
• Generalized Riemann curvature corrections to type II supergravity
• S-duality invariant dilaton couplings at order ${\alpha }^{\prime 3}$
• S-duality constraint on higher-derivative couplings
• Higher-derivative couplings and torsional Riemann curvature
• T-duality building blocks for ${\alpha }^{\prime }$ string corrections
• The Eikonal Approximation and the Gravitational Dynamics of Binary Systems
• Higher-derivative corrections to type II supergravity:Four Ramond-Ramond terms