N=4 Superconformal Chern-Simons Theories with Hyper and Twisted Hyper Multiplets

TL;DR

This paper extends N=4 superconformal Chern-Simons theories to include twisted hyper-multiplets, resulting in new linear quiver gauge theories with potential applications in M2-brane models and string/M-theory.

Contribution

It introduces a generalized class of N=4 superconformal theories with twisted hyper-multiplets, including the Bagger-Lambert model and connections to M2-brane orbifold models.

Findings

Construction of new linear quiver gauge theories with hyper and twisted hyper-multiplets

Identification of abelian theories with M-crystal models for M2-branes

Discussion of potential non-abelian extensions and string/M-theory realizations

Abstract

We extend the N=4 superconformal Chern-Simons theories of Gaiotto and Witten to those with additional twisted hyper-multiplets. The new theories are generically linear quiver gauge theories with the two types of hyper-multiplets alternating between gauge groups. Our construction includes the Bagger-Lambert model of SO(4) gauge group. A family of abelian theories are identified with those proposed earlier in the context of the M-crystal model for M2-branes probing (C^2/Z_n)^2 orbifolds. Possible extension with non-abelian BF couplings and string/M-theory realization are briefly discussed.