Quiver Chern–Simons theories and 3-algebra orbifolds

Abstract

We attempt to derive quiver Chern-Simons-matter theories from the Bagger-Lambert theory with Nambu bracket, through an orbifold prescription which effectively induces a dimensional reduction of the internal space for 3-algebra. We consider M2-branes on an N = 4 orbifold C 2 /Z k × C 2 , and compare the result with the so-called dual Aharony-Bergman-Jafferis-Maldacena model, proposed recently by Hanany, Vegh, and Zaffaroni. Unlike the N = 6 example C 4 /Z k , we find ambiguities in the matrix regularization.

Probing AdS4/CFT3 proposals beyond chiral rings

“…Another model with moduli space of C 2 /Z k × C 2 is constructed by using Chern-Simons matter theories with chiral flavors[15]. Also in[16] dual ABJM model is obtained via orbifold procedure of Nambu bracket.…”