Loop amplitudes in maximal supergravity with manifest supersymmetry

Abstract

We present a description for amplitude diagrams in maximal supergravities obtained by dimensional reduction from D=11, derived from a field theory point of view using the pure spinor formalism. The advantages of this approach are the manifest supersymmetry present in the formalism, and the limited number of interaction terms in the action. Furthermore, we investigate the conditions set by this description in order for amplitudes in maximal supergravity to be finite in the ultraviolet limit. Typically, there is an upper limit to the dimension, set by the loop order, which for an arbitrary number of loops is no larger than two. In four dimensions, the non-renormalisation power of the formalism fails for the 7-loop contribution to the 4-point amplitude, all of which is in clear agreement with previous work.

53 pp. v2: refs. added

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Cited by in corpus (11)

• Pure spinor superfields -- an overview
• 10D Super-Yang-Mills Scattering Amplitudes From Its Pure Spinor Action
• Supersymmetric field theory with benign ghosts
• Equations of motion from Cederwall's pure spinor superspace actions
• Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity
• Pure spinor superspace action for D=6, N=1 super-Yang-Mills theory
• Simplified D=11 Pure Spinor b Ghost
• An off-shell superspace reformulation of D=4, N=4 super-Yang-Mills theory
• Notes on the $D=11$ pure spinor superparticle
• Ultraviolet divergences in maximal supergravity from a pure spinor point of view
• Taming the 11D pure spinor b-ghost