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On NS-NS couplings at order $\alpha'^3$
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abstract
Recently, imposing the gauge-symmetry and the T-duality constraints on the string frame effective actions of type II superstring theories, the NS-NS cuplings have been found in a particular scheme which has 445 couplings in 15 different structures. In this paper, using a field redefinition, we write them in terms of 251 couplings which appear in 9 different structures. The 9 structures involve only Riemann curvature, $H_{\alpha\beta\mu}$ and $\nabla_{\alpha}H_{\beta\mu\nu}$. The number of couplings in the structures $R^4$, $H^8$, $H^6R$, $H^4R^2$, $H^2R^3$ are $2,\, 2,\, 1,\, 7,\,22$, respectively, and the number of couplings in the structures $(\nabla H)^4$, $(\nabla H)^2 R^2$, $(\nabla H)^2 H^4$, $(\nabla H)^2H^2R$ are $12,\, 22,\, 77,\, 106$, respectively. The new couplings are fully consistent with the sphere-level S-matrix element of four NS-NS vertex operators.
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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