This paper reviews the properties and applications of certain n-ary generalizations of Lie
algebras in a self-contained and unified way. These generalizations are algebraic structures …

We extend the Script N= 4 superconformal Chern-Simons theories of Gaiotto and Witten to
those with additional twisted hyper-multiplets. The new theories are generically linear quiver …

We propose a set of Bethe equations yielding the full asymptotic spectrum of the AdS 4/CFT
3 duality proposed in arxiv: 0806.1218 to all orders in the t'Hooft coupling. These equations …

Abstract Recently, Aharony, Bergman, Jafferis and Maldacena proposed that the Script N= 6
Chern-Simons gauge theories are holographically dual to the M-theory backgrounds with …

We propose the exact S-matrix for the planar limit of the Script N= 6 super Chern-Simons
theory recently proposed by Aharony, Bergman, Jafferis, and Maldacena for the AdS 4/CFT …

In this note we study M5-branes in the multiple membrane action which is recently proposed
by Aharony-Bergman-Jafferis-Maldacena. We write down the Script N= 6 supersymmetry …

We study the supersymmetry enhancement of ABJM theory. Starting from a Script N= 2
supersymmetric Chern-Simons matter theory with gauge group U (2)× U (2) which is a …

Abstract The Bagger-Lambert construction of Script N= 8 superconformal field theories
(SCFT) in three dimensions is based on 3-algebras. Three groups of researchers recently …

We recast physical properties of the Bagger-Lambert theory, such as shift-symmetry and
decoupling of ghosts, the absence of scale and parity invariance, in Lie 3-algebraic terms …

We show that the Nahm equation which describes a fuzzy D3-brane in the presence of a B-
field can be derived as a boundary condition of the F1-strings ending on the D3-brane, and …