Symplectic Three-Algebra and N=6, Sp(2N) X U(1) Superconformal Chern-Simons-Matter Theory

Details Symplectic Three-Algebra and N=6, Sp(2N) X U(1) Superconformal Chern-Simons-Matter Theory Symplectic Three-Algebra and N=6, Sp(2N) X U(1) Superconformal Chern-Simons-Matter Theory

2009-02-19

arxiv.org/abs/0902.3454v7

Eur.Phys.J.C69:305-314,2010

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, version accepted for publication in EPJC. Section 4 added, showing that the N=6, U(M) X U(N) theory can be recast in

Scientific paper

10.1140/epjc/s10052-010-1385-4

We introduce an anti-symmetric metric into a 3-algebra and call it a
symplectic 3-algebra. The N=6, Sp(2N) X U(1) superconformal Chern-Simons-matter
theory with SU(4) R-symmetry in three dimensions is constructed by specifying
the 3-brackets in a symplectic 3-algebra. We also demonstrate that the N=6,
U(M) X U(N) theory can be recast into this symplectic 3-algebraic framework.

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