Journal article, 2008

We derive the stability conditions for the M5-brane in topological M-theory using k-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) subset of 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.

M-theory

p-branes

GRAVITY

5-BRANE

topological strings

Chalmers, Applied Physics, Mathematical Physics

Chalmers, Applied Physics, Mathematical Physics

Chalmers, Applied Physics, Mathematical Physics

1126-6708 (ISSN) 1029-8479 (eISSN)

6 11-Mathematics

Physical Sciences

Basic sciences

10.1088/1126-6708/2008/06/100