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Effective action of bosonic string theory at order $ \alpha'^2 $
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abstract
Recently, it has been shown that the gauge invariance requires the minimum number of independent couplings for $B$-field, metric and dilaton at order $\alpha'^2$ to be 60. In this paper we fix the corresponding 60 parameters in string theory by requiring the couplings to be invariant under the global T-duality transformations. The Riemann cubed terms are exactly the same as the couplings that have been found by the S-matrix calculations.
Forward citations
Cited by 4 Pith papers
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$\alpha'$-Bootstrap
An infinite-dimensional algebraic structure on a megaspace yields recursive, T-duality-covariant NS-NS α' and α'^{2} corrections matching known bosonic and heterotic results up to field redefinitions.
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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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T-duality constraint on R-R couplings
T-duality invariance forces the nine Ramond-Ramond coupling constants in the leading-order effective action to be equal, yielding the democratic form of type II supergravity.
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