Constraining Higher Derivative Supergravity with Scattering Amplitudes

Abstract

We study supersymmetry constraints on higher derivative deformations of type IIB supergravity by consideration of superamplitudes. Combining constraints of on-shell supervertices and basic results from string perturbation theory, we give a simple argument for the non-renormalization theorem of Green and Sethi, and some of its generalizations.

9 pages, 2 figures; references add

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• New Modular Invariants in $\mathcal{N}=4$ Super-Yang-Mills Theory
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• Harnessing S-Duality in $\mathcal{N}=4$ SYM & Supergravity as $SL(2,\mathbb{Z})$-Averaged Strings
• Tree-level amplitudes from the pure spinor superstring
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• D-instantons in Type IIA string theory on Calabi-Yau threefolds
• Higher Derivative Terms, Toroidal Compactification, and Weyl Anomalies in Six-Dimensional (2,0) Theories
• Muti-instanton Amplitudes in Type IIB String Theory
• Higher Derivative Supergravities in Diverse Dimensions
• The SAGEX Review on Scattering Amplitudes, Chapter 10: Selected topics on modular covariance of type IIB string amplitudes and their $\mathcal{N}=4$ supersymmetric Yang-Mills duals
• On Higher Derivative Couplings in Theories with Sixteen Supersymmetries
• Infrared divergences and harmonic anomalies in the two-loop superstring effective action
• Supervertices and Non-renormalization Conditions in Maximal Supergravity Theories
• Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity
• BCFW-type recurrent relations for tree amplitudes of D=11 supergravity
• An analytic superfield formalism for tree superamplitudes in D=10 and D=11
• 1/8-BPS Couplings and Exceptional Automorphic Functions
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• Perturbative higher-derivative terms in N=6 asymmetric orbifolds
• Pure spinor indications of ultraviolet finiteness in D=4 maximal supergravity
• One-loop matrix elements of effective superstring interactions: ${\alpha }^{\prime }$-expanding loop integrands
• Type IIB at eight derivatives: insights from Superstrings, Superfields and Superparticles
• Worldsheet (anti)instanton bound states in type II on $T^2$
• String Theory from Maximal Supersymmetry