M2 to D2
Loading...
Date
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
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.
1+16 pages, LaTeX; v2: calculation unchanged, interpretation expanded and moved to last section, references added
1+16 pages, LaTeX; v2: calculation unchanged, interpretation expanded and moved to last section, references added