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arXiv · 0803.3218

M2 to D2

Sunil Mukhi·Constantinos Papageorgakis
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Abstract

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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Sunil Mukhi, Constantinos Papageorgakis. 2008-03-26. M2 to D2. https://doi.org/10.1088/1126-6708%2F2008%2F05%2F085

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