1210.1169 (Fa-Min Chen et al.)

Construction of New D=3, N=4 Quiver Gauge Theories    [PDF]

Fa-Min Chen, Yong-Shi Wu

In this paper we propose a special class of 3-algebras, called double-symplectic 3-algebras. We further show that a consistent contraction of the double-symplectic 3-algebra gives a new 3-algebra, called an N=4 three-algebra, which is then identified as the exact gauged three-algebra in the N=4 quiver gauge theories. A systematic construction is proposed for the 3-brackets and fundamental identities used in building up the N=4 theories, by starting with two superalgebras whose bosonic parts share at least one simple factor or U(1) factor. This leads to a systematic way of constructing new D=3, N=4 quiver theories, of which several examples are presented in detail. The general N=4 superconformal Chern-Simons matter theories in terms of ordinary Lie algebras can be also re-derived in our new 3-algebra approach.

View original: http://arxiv.org/abs/1210.1169