Multi-loop amplitudes in maximally supersymmetric pure spinor field theory

Details Multi-loop amplitudes in maximally supersymmetric pure spinor field theory Multi-loop amplitudes in maximally supersymmetric pure spinor field theory

2010-09-29

arxiv.org/abs/1009.5906v1

JHEP 1101:002,2011

Physics

High Energy Physics

High Energy Physics - Theory

65 pages, 15 figures

Scientific paper

10.1007/JHEP01(2011)002

This paper provides a more detailed background to the results of arXiv:1004.2692 concerning properties of multi-loop amplitudes in a pure spinor formulation of field theories with maximal supersymmetry. This involves the development of a first quantised field theory version of the non-minimal pure spinor formalism originally designed for describing superstring amplitudes. In addition to superspace world-line fields, the formalism involves a set of world-line ghost fields that are required for implementing BRST invariance with a composite b ghost. In particular, we show that BRST invariance requires the presence of certain contact terms. For four-point amplitudes, these are important beyond two loops. We also present an alternative proof of the "no-triangle hypothesis" and the vanishing of amplitudes with fewer than four external particles.

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