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Four-derivative couplings via T-duality constraint
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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 $\alpha'$ 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.
Forward citations
Cited by 2 Pith papers
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Tachyon couplings from S-matrix elements in bosonic string theory
The paper argues that bosonic string effective actions contain only even numbers of tachyon fields and extracts D-brane tachyon couplings that match type 0 theory.
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Exploring types I and IIA effective actions through T-duality
T-duality between type I on S^1 and type I' on S^1/Z2 determines all leading two-derivative couplings in the untwisted sectors, reproducing standard type I and type IIA actions except the IIA Chern-Simons term.
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