A Note on Topological M5-branes and String-Fivebrane Duality

Details A Note on Topological M5-branes and String-Fivebrane Duality A Note on Topological M5-branes and String-Fivebrane Duality

2006-03-15

arxiv.org/abs/hep-th/0603120v2

JHEP0806:100,2008

Physics

High Energy Physics

High Energy Physics - Theory

11 pp, plain tex

Scientific paper

10.1088/1126-6708/2008/06/100

We derive the stability conditions for the M5-brane in topological M-theory using kappa-symmetry. The non-linearly self-dual 3-form on the world-volume is necessarily non-vanishing, as is the case also for the 2-form field strengths on coisotropic branes in topological string theory. It is demonstrated that the self-duality is consistent with the stability conditions, which are solved locally in terms of a tensor in the representation 6 of SU(3) in G_2. The double dimensional reduction of the M5-brane is the D4-brane, and its direct reduction is an NS5-brane. We show that the equation of motion for the 3-form on the NS5-brane wrapping a Calabi-Yau space is exactly the Kodaira-Spencer equation, providing support for a string-fivebrane duality in topological string theory.

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