M2 to D2

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.

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

References in corpus (13)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Modeling Multiple M2's
• Comments on Multiple M2-branes
• D-branes from M-branes
• D-brane field theory on compact spaces
• The M2-M5 Brane System and a Generalized Nahm's Equation
• D-brane actions
• The Noncommutative Bion Core
• Selfdual strings and loop space Nahm equations
• Type II p-branes: the brane-scan revisited
• M-theory branes and their interactions
• A note on the M2-M5 brane system and fuzzy spheres
• Five-brane Calibrations and Fuzzy Funnels

Cited by in corpus (153)

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