M2 to D2

Details M2 to D2 M2 to D2

2008-03-24

arxiv.org/abs/0803.3218v2

JHEP 0805:085,2008

Physics

High Energy Physics

High Energy Physics - Theory

1+16 pages, LaTeX; v2: calculation unchanged, interpretation expanded and moved to last section, references added

Scientific paper

10.1088/1126-6708/2008/05/085

We examine the recently proposed "3-algebra" field theory for multiple M2-branes and show that when a scalar field valued in the 3-algebra develops a vacuum expectation value, the resulting Higgs mechanism has the novel effect of promoting topological (Chern-Simons) to dynamical (Yang-Mills) gauge fields. This leads to a precise derivation of the maximally supersymmetric Yang-Mills theory on multiple D2-branes and thereby provides a relationship between 3-algebras and Yang-Mills theories. We discuss the physical interpretation of this result.

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