Supervertices and Non-renormalization Conditions in Maximal Supergravity Theories

Abstract

We construct higher derivative supervertices in an effective theory of maximal supergravity in various dimensions, in the super spinor helicity formalism, and derive non-renormalization conditions on up to 14-derivative order couplings from supersymmetry. These non-renormalization conditions include Laplace type equations on the coefficients of $R^4$, $D^4{R}^4$, and $D^6{R}^4$ couplings. We also find additional constraining equations, which are consistent with previously known results in the effective action of toroidally compactified type II string theory, and elucidate many features thereof.

arXiv comment52 pages, 6 figures, reference added, section 3 expanded and section 5 restructured

References in corpus (44)

• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• On Renormalization Group Flows in Four Dimensions
• The Amplituhedron
• What is the Simplest Quantum Field Theory?
• Strong-Weak Coupling Duality in Four Dimensional String Theory
• On the Relationship between Yang-Mills Theory and Gravity and its Implication for Ultraviolet Divergences
• U-duality and M-Theory
• The Ultraviolet Behavior of N=8 Supergravity at Four Loops
• Supersymmetry Constraints on Type IIB Supergravity
• Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
• Duality and higher derivative terms in M theory
• Two loops in eleven dimensions
• Into the Amplituhedron
• Amplitudes and Spinor-Helicity in Six Dimensions
• Is N = 8 Supergravity Ultraviolet Finite?
• E7(7) constraints on counterterms in N=8 supergravity
• On the modular structure of the genus-one Type II superstring low energy expansion
• Spontaneous Breaking of Conformal Invariance and Trace Anomaly Matching
• Constraints From Extended Supersymmetry in Quantum Mechanics
• Automorphic properties of low energy string amplitudes in various dimensions
• Generalized Unitarity and Six-Dimensional Helicity
• Supertwistor space for 6D maximal super Yang-Mills
• A simple approach to counterterms in N=8 supergravity
• Spinor Helicity and Dual Conformal Symmetry in Ten Dimensions
• On duality symmetries of supergravity invariants
• Four-point correlation function of stress-energy tensors in N=4 superconformal theories
• R^4 counterterm and E7(7) symmetry in maximal supergravity
• D = 5 maximally supersymmetric Yang-Mills theory diverges at six loops
• Simple superamplitudes in higher dimensions
• Type IIB $R^4{H}^{4g-4}$ Conjectures
• New fermionic soft theorems
• Constraining Higher Derivative Supergravity with Scattering Amplitudes
• Little String Amplitudes (and the Unreasonable Effectiveness of 6D SYM)
• Construction of $R^4$ Terms in N=2 D=8 Superspace
• Minimal unitary representations from supersymmetry
• The two D6R4 type invariants and their higher order generalisation
• Higher Derivative Terms, Toroidal Compactification, and Weyl Anomalies in Six-Dimensional (2,0) Theories
• The D^{10} R^4 term in type IIB string theory
• On Higher Derivative Couplings in Theories with Sixteen Supersymmetries
• Interpolating the Coulomb Phase of Little String Theory
• The structure of the R^8 term in type IIB string theory
• Deformations with Maximal Supersymmetries Part 1: On-shell Formulation
• $\mathcal{E}{\nabla }^4{R}^4$ type invariants and their gradient expansion
• An Update on Perturbative N=8 Supergravity

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• Harnessing S-Duality in $\mathcal{N}=4$ SYM & Supergravity as $SL(2,\mathbb{Z})$-Averaged Strings
• Higher Derivative Supergravities in Diverse Dimensions
• Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity
• An analytic superfield formalism for tree superamplitudes in D=10 and D=11
• Pure spinor indications of ultraviolet finiteness in D=4 maximal supergravity
• A Master Action for D=11 Supergravity in the Component Formulation