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One-loop four-graviton amplitude in eleven-dimensional supergravity

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arxiv hep-th/9707134 v3 pith:GQZQNW2R submitted 1997-07-14 hep-th

classification hep-th
keywords amplitudeeleven-dimensionalstringcompactificationcorrectionsfour-gravitonone-loopsupergravity
verification ladder T0 review T1 audit T2 compute T3 formal
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We find explicit expression for the one-loop four-graviton amplitude in eleven-dimensional supergravity compactified on a circle. Represented in terms of the string coupling (related to the compactification radius) it takes the form of an infinite sum of perturbative string loop corrections. We also compute the amplitude in the case of compactification on a 2-torus which is given by an SL(2,Z) invariant expansion in powers of the torus area. We discuss the structure of quantum corrections in eleven-dimensional theory and their relation to string theory.

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Cited by 4 Pith papers

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    Derives inherently 9D one-loop effective couplings in type IIB from T-duality on reduced IIA terms at order alpha'^3, demonstrating S-duality invariance without tree-level or non-perturbative input and consistency wit...

  4. Effective Action in M-Theory: $(DF)^4$ Superinvariants

    hep-th 2025-07 conditional novelty 6.0 of 10

    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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