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Effective action of type II superstring theories at order $\alpha'^3$: NS-NS couplings
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abstract
Recently, it has been shown that the minimum number of gauge invariant couplings for $B$-field, metric and dilaton at order $\alpha'^3$ is 872. These couplings, in a particular scheme, appear in 55 different structures. In this paper, up to an overall factor, we fix all parameters in type II supertirng theories by requiring the reduction of the couplings on a circle to be invariant under T-duality transformations. We find that there are 445 non-zero couplings which appear in 15 different structures. The couplings are fully consistent with the partial couplings that have been found in the literature by the four-point S-matrix element and by the non-linear Sigma model methods.
Forward citations
Cited by 3 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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Effective Action in M-Theory: $(DF)^4$ Superinvariants
A local supersymmetry analysis reduces the 24 independent (DF)^4 terms in the M-theory eight-derivative action to 10 free parameters, consistent with scattering amplitude results.
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Type IIB at eight derivatives: Five-Point Axio-Dilaton Couplings
The complete five-point, eight-derivative effective action of Type IIB in the gravity plus axio-dilaton sector is derived, with identical tree-level and one-loop kinematics and full SL(2,Z) modular completion.
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