Supersymmetric Yang-Mills Theory From Lorentzian Three-Algebras

Details Supersymmetric Yang-Mills Theory From Lorentzian Three-Algebras Supersymmetric Yang-Mills Theory From Lorentzian Three-Algebras

2008-06-04

arxiv.org/abs/0806.0738v2

JHEP 0808:094,2008

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, LaTeX, v2: proposal to integrate over x_+ vev removed

Scientific paper

10.1088/1126-6708/2008/08/094

We show that by adding a supersymmetric Faddeev-Popov ghost sector to the recently constructed Bagger-Lambert theory based on a Lorentzian three algebra, we obtain an action with a BRST symmetry that can be used to demonstrate the absence of negative norm states in the physical Hilbert space. We show that the combined theory, expanded about its trivial vacuum, is BRST equivalent to a trivial theory, while the theory with a vev for one of the scalars associated with a null direction in the three-algebra is equivalent to a reformulation of maximally supersymmetric 2+1 dimensional Yang-Mills theory in which there a formal SO(8) superconformal invariance.

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