Symplectic Three-Algebra and N=6, Sp(2N) X U(1) Superconformal Chern-Simons-Matter Theory
Fa-Min Chen, Yong-Shi Wu
TL;DR
This paper introduces a symplectic 3-algebra framework to construct N=6 superconformal Chern-Simons-matter theories with Sp(2N) X U(1) and U(M) X U(N) gauge groups, unifying different models.
Contribution
It develops a symplectic 3-algebra approach to formulate N=6 superconformal theories, providing a new algebraic structure for these models.
Findings
Constructed N=6, Sp(2N) X U(1) theory using symplectic 3-algebra.
Recasted U(M) X U(N) theory within the symplectic 3-algebra framework.
Established algebraic consistency of the new formulation.
Abstract
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.