Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-05-31
JHEP 0807:117,2008
Physics
High Energy Physics
High Energy Physics - Theory
11 pages; v2: minor clarifications and mention of subsequent work
Scientific paper
10.1088/1126-6708/2008/07/117
The Bagger--Lambert construction of N = 8 superconformal field theories (SCFT) in three dimensions is based on 3-algebras. Three groups of researchers recently realized that an arbitrary semisimple Lie algebra can be incorporated by using a suitable Lorentzian signature 3-algebra. The SU(N) case is a candidate for the SCFT describing coincident M2-branes. However, these theories contain ghost degrees of freedom, which is unsatisfactory. We modify them by gauging certain global symmetries. This eliminates the ghosts from these theories while preserving all of their desirable properties. The resulting theories turn out to be precisely equivalent to N = 8 super Yang--Mills theories.
Bandres Miguel A.
Lipstein Arthur E.
Schwarz John H.
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