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.
Higher-derivative gauge field terms in the M-theory action
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We use superparticle vertex operator correlators in the light-cone gauge to determine the (DF)^2 R^2 and (DF)^4 terms in the M-theory effective action. Our results, when compactified on a circle, reproduce terms in the type-IIA string effective action obtained through string amplitude calculations.
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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.