2009/03/31 by Pietro Antonio Grassi, Pierre Vanhove · 1 citation
Physics and Astronomy · Social Sciences · #Black Holes and Theoretical Physics #International Science and Diplomacy #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1088/1126-6708/2009/05/089
published as JHEP 0905:089,2009 · 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
openalex publication_date 2009/05/21 · arxiv created 2009/05/29 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01
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.