Higher-loop amplitudes in the non-minimal pure spinor formalism
Abstract
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.
Cite
@article{arxiv.0903.3903,
title = {Higher-loop amplitudes in the non-minimal pure spinor formalism},
author = {Pietro Antonio Grassi and Pierre Vanhove},
journal= {arXiv preprint arXiv:0903.3903},
year = {2009}
}
Comments
v1: harvmac format. 28 pages. No figures. v2: added references and typos corrected. Expanded discussion of the zero mode counting and the vanishing condition of amplitudes. v3: minor corrections