Pure Spinors and D=6 Super-Yang-Mills

dc.creatorCederwall, Martin
dc.creatorNilsson, Bengt E. W.
dc.date2008-01-09
dc.date.accessioned2026-07-07T08:53:31Z
dc.date.available2026-07-07T08:53:31Z
dc.descriptionPure spinor cohomology has been used to describe maximally supersymmetric theories, like D=10 super-Yang-Mills and D=11 supergravity. Supersymmetry closes on-shell in such theories, and the fields in the cohomology automatically satisfy the equations of motion. In this paper, we investigate the corresponding structure in a model with off-shell supersymmetry, N=1 super-Yang-Mills theory in D=6. Here, fields and antifields are obtained as cohomologies in different complexes with respect to the BRST operator Q. It turns out to be natural to enlarge the pure spinor space with additional bosonic variables, subject to some constraints generalising the pure spinor condition, in order to accommodate the different supermultiplets in the same generalised pure spinor wave-function. We construct another BRST operator, s, acting in the cohomology of Q, whose cohomology implies the equations of motion. We comment on the possible use of similar approaches in other models.
dc.description11 pp, 3 figs, plain tex
dc.identifierhttps://arxiv.org/abs/0801.1428
dc.identifierhttp://arxiv.org/abs/0801.1428
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145648
dc.subjectHigh Energy Physics - Theory
dc.titlePure Spinors and D=6 Super-Yang-Mills
dc.typetext

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