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Open G2 strings

de Boer, Jan, De Medeiros, Paul F., El-Showk, Sheer and Sinkovics, Annamaria 2008. Open G2 strings. Journal of High Energy Physics 2008 (02) , 012. 10.1088/1126-6708/2008/02/012

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We 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 + B-bar-model on holomorphic submanifolds. We also comment on possible applications of our results.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: Topological Strings; Differential and Algebraic Geometry; Topological Field Theories; Sigma Models
Publisher: IOP Science
ISSN: 1029-8479
Last Modified: 19 Mar 2016 23:07

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