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

Abstract

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.

14 pages, harvmac. Remarks on the amplitude in uncompactified D=11 space and on explicit structure of R^4 terms added

Cited by in corpus (55)

• On the Relationship between Yang-Mills Theory and Gravity and its Implication for Ultraviolet Divergences
• Coupling Constant Dependence in the Thermodynamics of N=4 Supersymmetric Yang-Mills Theory
• Microscopic Black Hole Entropy in Theories with Higher Derivatives
• Signatures of Short Distance Physics in the Cosmic Microwave Background
• Duality and higher derivative terms in M theory
• Two loops in eleven dimensions
• Ten-Dimensional Supergravity Constraints from the Pure Spinor Formalism for the Superstring
• The low energy expansion of the one-loop type II superstring amplitude
• Low energy expansion of the four-particle genus-one amplitude in type II superstring theory
• Two-loop superstrings and S-duality
• Automorphic properties of low energy string amplitudes in various dimensions
• Non-renormalisation Conditions in Type II String Theory and Maximal Supergravity
• Non-compact Calabi--Yau Manifolds and Localized Gravity
• Higher order M theory corrections and the Kac-Moody algebra E10
• A note on non-perturbative R^4 couplings
• Supersymmetric Corrections to Eleven-Dimensional Supergravity
• The D^4 R^4 term in type IIB string theory on T^2 and U-duality
• Topological $R^4$ Inflation
• Type IIB $R^4{H}^{4g-4}$ Conjectures
• Counterterms/M-theory Corrections to D=11 Supergravity
• D-instanton partition functions
• UV Shadows in EFTs: Accidental Symmetries, Robustness and No-Scale Supergravity
• Tree Amplitudes and Two-loop Counterterms in D=11 Supergravity
• $D^6{R}^4$ amplitudes in various dimensions
• Higher Derivative Corrections to Eleven Dimensional Supergravity via Local Supersymmetry
• Subleading Corrections and Central Charges in the AdS/CFT Correspondence
• Duality completion of higher derivative corrections
• Extremal single-charge small black holes: Entropy function analysis
• On Graviton Scattering Amplitudes in M-Theory
• IIA String Theory on Calabi-Yau Fourfolds with Background Fluxes
• Higher Derivative Corrections to Holographic Entanglement Entropy for AdS Solitons
• Enhanced Coset Symmetries and Higher Derivative Corrections
• Duality Groups, Automorphic Forms and Higher Derivative Corrections
• Aspects of higher curvature terms and U-duality
• Three Graviton Scattering in M-Theory
• On Cancellations of Ultraviolet Divergences in Supergravity Amplitudes
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• Perturbative Relations between Gravity and Gauge Theory
• R^4 Corrections to Eleven Dimensional Supergravity via Supersymmetry
• The D^6 R^4 term in type IIB string theory on T^2 and U-duality
• Short Distance Contributions to Graviton-Graviton Scattering: Matrix Theory versus Supergravity
• Non-planar corrections in orbifold/orientifold $\mathcal{N}=2$ superconformal theories from localization
• Gravity and Form Scattering and Renormalisation of Gravity in Six and Eight Dimensions
• Eleven dimensional supergravity in light cone gauge
• M-theory on Calabi-Yau Five-Folds
• S and U-duality Constraints on IIB S-matrices
• M-theory and automorphic scattering
• On the Supergravity Gauge theory Correspondence and the Matrix Model
• Higher derivative type II string effective actions, automorphic forms and E11
• Two Ramond-Ramond corrections to type II supergravity via field-theory amplitude
• Static solutions in the R^4 brane world
• Quantum stabilization of thermal brane-worlds in M-theory
• Gauge field corrections to 11-dimensional supergravity via dimensional reduction
• Effects of D-instantons in string amplitudes
• Cosmological Solutions of Type II Superstrings