A note on topological M5-branes and string-fivebrane duality | Zendy

Ling Bao | Zendy; Martin Cederwall | Zendy; B.E.W. Nilsson | Zendy

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A note on topological M5-branes and string-fivebrane duality

Author(s) -

Ling Bao,

Martin Cederwall,

B.E.W. Nilsson

Publication year - 2008

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2008/06/100

Subject(s) - brane cosmology , brane , physics , duality (order theory) , string duality , string (physics) , dimensional reduction , topology (electrical circuits) , string theory , mathematical physics , theoretical physics , mathematics , relationship between string theory and quantum field theory , pure mathematics , quantum mechanics , combinatorics , quantum gravity , quantum

We derive the stability conditions for the M5-brane in topological M-theoryusing kappa-symmetry. The non-linearly self-dual 3-form on the world-volume isnecessarily non-vanishing, as is the case also for the 2-form field strengthson coisotropic branes in topological string theory. It is demonstrated that theself-duality is consistent with the stability conditions, which are solvedlocally in terms of a tensor in the representation 6 of SU(3) in G_2. Thedouble dimensional reduction of the M5-brane is the D4-brane, and its directreduction is an NS5-brane. We show that the equation of motion for the 3-formon the NS5-brane wrapping a Calabi-Yau space is exactly the Kodaira-Spencerequation, providing support for a string-fivebrane duality in topologicalstring theory.Comment: 11 pp, plain te

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