New Higher-Derivative $R^4$ Theorems

Abstract

The non-minimal pure spinor formalism for the superstring is used to prove two new multiloop theorems which are related to recent higher-derivative $R^4$ conjectures of Green, Russo and Vanhove. The first theorem states that when $0<n<12$, ${\partial }^n{R}^4$ terms in the Type II effective action do not receive perturbative contributions above $n/2$ loops. The second theorem states that when $n\le 8$, perturbative contributions to ${\partial }^n{R}^4$ terms in the IIA and IIB effective actions coincide.

10 pages harvmac

References in corpus (1)

• Is N = 8 Supergravity Ultraviolet Finite?

Cited by in corpus (18)

• Ultraviolet properties of Maximal Supergravity
• The ultra-violet question in maximally supersymmetric field theories
• The D^4 R^4 term in type IIB string theory on T^2 and U-duality
• Explicit Cancellation of Triangles in One-loop Gravity Amplitudes
• The One-loop Open Superstring Massless Five-point Amplitude with the Non-Minimal Pure Spinor Formalism
• N=8 Supergravity 4-point Amplitudes
• GGI Lectures on the Pure Spinor Formalism of the Superstring
• D=11 massless superparticle covariant quantization, pure spinor BRST charge and hidden symmetries
• The D^{10} R^4 term in type IIB string theory
• Spinor moving frame, M0-brane covariant BRST quantization and intrinsic complexity of the pure spinor approach
• Higher-loop amplitudes in the non-minimal pure spinor formalism
• On Cancellations of Ultraviolet Divergences in Supergravity Amplitudes
• On UV Finiteness of the Four Loop N=8 Supergravity
• The D^6 R^4 term in type IIB string theory on T^2 and U-duality
• One-loop N=8 supergravity coefficients from N=4 super Yang-Mills
• An Alternative Canonical Approach to the Ghost Problem in a Complexified Extension of the Pais-Uhlenbeck Oscillator
• Decoupling of unphysical states in the minimal pure spinor formalism II
• Twistors, strings and supersymmetric gauge theories