String theory dualities and supergravity divergences

Abstract

We demonstrate how duality invariance of the low energy expansion of the four-graviton amplitude in type II string theory determines the precise coefficients of multiloop logarithmic ultraviolet divergences of maximal supergravity in various dimensions. This is illustrated by the explicit moduli-dependence of terms of the form D^{2k}R^4, with k<= 3, in the effective action. Furthermore, we show that in the supergravity limit the perturbative contributions are swamped by an accumulation of non-perturbative effects of zero-action instantons.

Latex. 27 pages. 1 figures. v2: Typos corrected and small clarifications. v3: This is the published version that contains minors corrections to the previous arXiv version

References in corpus (8)

• Three-Loop Superfiniteness of N=8 Supergravity
• Ultraviolet properties of Maximal Supergravity
• New Higher-Derivative $R^4$ Theorems
• $R^4$ couplings and automorphic unipotent representations
• Decoupling Supergravity from the Superstring
• Modular properties of two-loop maximal supergravity and connections with string theory
• Non-renormalization conditions for four-gluon scattering in supersymmetric string and field theory
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Cited by in corpus (73)

• Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
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• The Ultraviolet Properties of N=4 Supergravity at Four Loops
• Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
• E7(7) constraints on counterterms in N=8 supergravity
• Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops
• Ultraviolet Properties of N = 8 Supergravity at Five Loops
• The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory
• Absence of Three-Loop Four-Point Divergences in N=4 Supergravity
• Scattering amplitudes in N=2 Maxwell-Einstein and Yang-Mills/Einstein supergravity
• One-loop four-point amplitudes in pure and matter-coupled N <= 4 supergravity
• The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
• The Ultraviolet Structure of Half-Maximal Supergravity with Matter Multiplets at Two and Three Loops
• 5 loops in 24/5 dimensions
• The vanishing volume of D=4 superspace
• Nonlocal quantum gravity and M-theory
• Matching the $D^6{\mathcal{R}}^4$ interaction at two-loops
• A simple approach to counterterms in N=8 supergravity
• Stringy KLT relations, global symmetries, and E_7(7) violation
• Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure
• On duality symmetries of supergravity invariants
• Heterotic $\alpha$'-corrections in Double Field Theory
• E7(7) symmetry in perturbatively quantised N=8 supergravity
• Multi-loop amplitudes in maximally supersymmetric pure spinor field theory
• Double Copy from Homotopy Algebras
• The two-loop five-point amplitude in $\mathcal{N}=8$ supergravity
• Small representations, string instantons, and Fourier modes of Eisenstein series (with an appendix by D. Ciubotaru and P. Trapa)
• D = 5 maximally supersymmetric Yang-Mills theory diverges at six loops
• Color-kinematics duality and Sudakov form factor at five loops for N=4 supersymmetric Yang-Mills theory
• Tropical Amplitudes
• The Five-Loop Four-Point Amplitude of N=4 super-Yang-Mills Theory
• Eisenstein series and automorphic representations
• Covariant procedures for perturbative non-linear deformation of duality-invariant theories
• Amplitudes and Ultraviolet Behavior of N=8 Supergravity
• Loops in exceptional field theory
• Superconformal symmetry and maximal supergravity in various dimensions
• $D^6{R}^4$ amplitudes in various dimensions
• Duality completion of higher derivative corrections
• Anomalies and divergences in N=4 supergravity
• Invariants and divergences in half-maximal supergravity theories
• Minimal unitary representations from supersymmetry
• Covariant actions for models with non-linear twisted self-duality
• Two-loop superstring five-point amplitudes II: Low energy expansion and S-duality
• Amplitudes at Infinity
• Cancelling the U(1) Anomaly in the S-matrix of N=4 Supergravity
• The two D6R4 type invariants and their higher order generalisation
• SUSY Ward identities, Superamplitudes, and Counterterms
• Higher Derivative Supergravities in Diverse Dimensions
• One-loop four-graviton amplitudes in N=4 supergravity models
• Perfecting one-loop BCJ numerators in SYM and supergravity
• Species scale, worldsheet CFTs and emergent geometry
• Supergravity divergences, supersymmetry and automorphic forms
• The D^{2k} R^4 Invariants of N=8 Supergravity
• Infrared divergences and harmonic anomalies in the two-loop superstring effective action
• Four-derivative couplings and BPS dyons in heterotic CHL orbifolds
• Gravity loop integrands from the ultraviolet
• Emergence of $R^4$-terms in M-theory
• Exact effective interactions and 1/4-BPS dyons in heterotic CHL orbifolds
• $D^6{R}^4$ curvature corrections, modular graph functions and Poincaré series
• 1/8-BPS Couplings and Exceptional Automorphic Functions
• Perturbative type II amplitudes for BPS interactions
• Higher derivative type II string effective actions, automorphic forms and E11
• Functional determinants, index theorems, and exact quantum black hole entropy
• String theory integrands and supergravity divergences
• Perturbative higher-derivative terms in N=6 asymmetric orbifolds
• String Theory, Unification and Quantum Gravity
• Maximally Supersymmetric Yang-Mills in five dimensions in light-cone superspace
• Non--analytic terms from nested divergences in maximal supergravity
• Parameters, limits and higher derivative type II string corrections
• Poisson equations, higher derivative automorphic forms and string parameter limits
• Saturating unitarity bounds at U-duality symmetric points
• Mysterious Triality and the Exceptional Symmetry of Loop Spaces