Four-derivative couplings via T-duality constraint

Abstract

We examine the proposal that the dimensional reduction of the effective action of perturbative string theory on a circle, should be invariant under T-duality transformations. The T-duality transformations are the standard Buscher rules plus some higher covariant derivatives. By explicit calculations at order ${\alpha }^{\prime }$ for metric, dilaton and B-field, we show that the T-duality constraint can fix both the effective action and the higher derivative corrections to the Buscher rules up to an overall factor. The corrections depend on the scheme that one uses for the effective action. We have found the effective action and its corresponding T-duality transformations in an arbitrary scheme.

16 pages, latex file, no figure; v2: typos corrected, the version appears in PRD

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Cited by in corpus (24)

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• Minimal gauge invariant couplings at order ${\alpha }^{\prime 3}$: NS-NS fields
• Supersymmetry, T-duality and Heterotic ${\alpha }^{\prime }$-corrections
• Background independence of effective actions at critical dimension
• Surface terms in the effective actions via duality constraints
• $O(9,9)$ symmetry of NS-NS couplings at order ${\alpha }^{\prime 3}$
• T-duality and hints of generalized geometry in string ${\alpha }^{\prime }$ corrections
• Higher-derivative field redefinitions in the presence of boundary
• Effective action of string theory at order ${\alpha }^{\prime }$ in the presence of boundary
• $O(25,25)$ symmetry of bosonic string theory at order ${\alpha }^{\prime 2}$
• Couplings of order six in the gauge field strength and the second fundamental form on a D${}_p$-brane at order ${\alpha }^{\prime 2}$
• Higher-derivative couplings and torsional Riemann curvature
• O-plane couplings at order ${\alpha }^{\prime 2}$: one R-R field strength
• T-duality constraint on R-R couplings
• Surface terms in effective action of O-plane at order ${\alpha }^{\prime 2}$
• The data on the boundary at order ${\alpha }^{\prime }$
• Higher-derivative Heterotic Kerr-Sen Black Holes
• Six-Derivative Yang-Mills Couplings in Heterotic String Theory
• Consistent Four-derivative Heterotic Truncations and the Kerr-Sen Solution
• T-duality of D-brane versus O-plane actions
• What U Can Do: New Solutions and New Challenges Beyond Leading Order