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The One-Loop H^2R^3 and H^2(DH)^2R Terms in the Effective Action
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We consider the one-loop B^2h^3 and B^4h amplitudes in type II string theory, where B is the NS-NS two-form and h the graviton, and expand to lowest order in alpha'. After subtracting diagrams due to quartic terms in the effective action, we determine the presence and structure of both an H^2R^3 and H^2(DH)^2R term. We show that both terms are multiplied by the usual (t_8t_8\pm{1/8}\epsilon_{10}\epsilon_{10}) factor.
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Cited by 2 Pith papers
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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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