# Symplectic Three-Algebra and N=6, Sp2N X U1 Superconformal Chern-Simons-Matter Theory - High Energy Physics - Theory

Symplectic Three-Algebra and N=6, Sp2N X U1 Superconformal Chern-Simons-Matter Theory - High Energy Physics - Theory - Download this document for free, or read online. Document in PDF available to download.

Abstract: We introduce an anti-symmetric metric into a 3-algebra and call it asymplectic 3-algebra. The N=6, Sp2N X U1 superconformal Chern-Simons-mattertheory with SU4 R-symmetry in three dimensions is constructed by specifyingthe 3-brackets in a symplectic 3-algebra. We also demonstrate that the N=6,UM X UN theory can be recast into this symplectic 3-algebraic framework.

Author: ** Fa-Min Chen, Yong-Shi Wu**

Source: https://arxiv.org/