mitchell porter
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There's a great little introduction to M-branes on the arxiv today http://arxiv.org/abs/1012.0459" .
arxiv:1012.0459 said:There are two main perspectives we can take on extended objects such as the membrane and fivebrane. We can look at them as solutions of 11-dimensional supergravity (these solutions will also have near horizon limits) and look at the field theories on their worldvolumes. This is at the heart of the AdS/CFT correspondence. The degrees of freedom on the worldvolume are goldstone modes from broken symmetries, including supersymmetries. Requiring that the Bosonic and Fermionic degrees of freedom match to give a supersymmetric worldvolume theory puts very strong constrains on the allowed extended objects, importantly the maximal dimension this can occur in is 11. Here the 8 scalars from broken translations in the directions transverse to the brane match with 8 Fermions from the broken supersymmetry. A fivebrane thus has only 5 scalars but will still have 8 Fermions if it preserves half the supersymmetry. The three additional Bosonic degrees of freedom come from broken gauge symmetries of the three-form C. This leads to a 2-form with anti-self-dual field strength on the fivebrane worldvolume. This makes the fivebrane worldvolume theory difficult to formulate. (Chapter 3)
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