Open G2 Strings

dc.creatorde Boer, Jan
dc.creatorde Medeiros, Paul
dc.creatorEl-Showk, Sheer
dc.creatorSinkovics, Annamaria
dc.date2006-11-07
dc.date.accessioned2026-07-07T11:23:01Z
dc.date.available2026-07-07T11:23:01Z
dc.descriptionWe consider an open string version of the topological twist previously proposed for sigma-models with G2 target spaces. We determine the cohomology of open strings states and relate these to geometric deformations of calibrated submanifolds and to flat or anti-self-dual connections on such submanifolds. On associative three-cycles we show that the worldvolume theory is a gauge-fixed Chern-Simons theory coupled to normal deformations of the cycle. For coassociative four-cycles we find a functional that extremizes on anti-self-dual gauge fields. A brane wrapping the whole G2 induces a seven-dimensional associative Chern-Simons theory on the manifold. This theory has already been proposed by Donaldson and Thomas as the higher-dimensional generalization of real Chern-Simons theory. When the G2 manifold has the structure of a Calabi-Yau times a circle, these theories reduce to a combination of the open A-model on special Lagrangians and the open B+\bar{B}-model on holomorphic submanifolds. We also comment on possible applications of our results.
dc.description55 pages, no figures
dc.identifierhttps://arxiv.org/abs/hep-th/0611080
dc.identifierhttp://arxiv.org/abs/hep-th/0611080
dc.identifierJHEP0802:012,2008
dc.identifierdoi:10.1088/1126-6708/2008/02/012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194763
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.titleOpen G2 Strings
dc.typetext

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