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 …

Providing a comprehensive, pedagogical introduction to scattering amplitudes in gauge
theory and gravity, this book is ideal for graduate students and researchers. It offers a …

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 …

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 …

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 …

Using 3-algebras we obtain a nonabelian system of equations that furnish a representation
of the (2, 0)-supersymmetric tensor multiplet. The on-shell conditions are quite restrictive so …