Higher-loop amplitudes in the non-minimal pure spinor formalism

Details Higher-loop amplitudes in the non-minimal pure spinor formalism Higher-loop amplitudes in the non-minimal pure spinor formalism

2009-03-23

arxiv.org/abs/0903.3903v3

JHEP 0905:089,2009

Physics

High Energy Physics

High Energy Physics - Theory

v1: harvmac format. 28 pages. No figures. v2: added references and typos corrected. Expanded discussion of the zero mode count

Scientific paper

10.1088/1126-6708/2009/05/089

We analyze the properties of the non-minimal pure spinor formalism. We show that Siegel gauge on massless vertex operators implies the primary field constraint and the level-matching condition in closed string theory by reconstructing the integrated vertex operator representation from the unintegrated ones. The pure spinor integration in the non-minimal formalism needs a regularisation. To this end we introduce a new regulator for the pure spinor integration and an extension of the regulator to allow for the saturation of the fermionic d-zero modes to all orders in perturbation. We conclude with a preliminary analysis of the properties of the four-graviton amplitude to all genus order.

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