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 review developments in the theory of multiple, parallel membranes in M-theory. After
discussing the inherent difficulties with constructing a maximally supersymmetric lagrangian …

We construct three dimensional Chern-Simons-matter theories with gauge groups U (N)× U
(N) and SU (N)× SU (N) which have explicit Script N= 6 superconformal symmetry. Using …

We explore further our recent generalization of the Script N= 4 superconformal Chern-
Simons theories of Gaiotto and Witten. We find and construct explicitly theories of enhanced …

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 test the proposals for the worldvolume theory of M2-branes by studying its maximally
supersymmetric mass-deformation. We check the simplest prediction for the mass-deformed …

We lift the bosonic AdS 4× CP 3 solution of type IIA supergravity preserving 24
supersymmetries to a D= 10 superspace which has 32 Grassmann-odd directions. The type …

A new infinite class of Chern-Simons theories in 2+ 1 dimensions is presented using brane
tilings. The new class reproduces all known cases so far and introduces many new models …

We examine the three-dimensional Script N= 6 superconformal Chern-Simons theory with U
(N)× U (N) gauge symmetry, which was recently constructed by Aharony, Bergman, Jafferis …

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 …