We present electric-magnetic (Hodge) duality formulation for non-Abelian gauge groups with N=1 supersymmetry in 3+1 (4D) dimensions. Our system consists of three multiplets: (i) A super-Yang-Mills vector multiplet (YMVM) $(A_\mu{}^I, \lambda^I)$, (ii) a dual vector multiplet (DVM) $(B_\mu{}^I, \chi^I)$, and (iii) an unphysical tensor multiplet (TM) $(C_{\mu\nu}{}^I, \rho^I, \varphi^I)$, with the index I for adjoint representation. The multiplets YMVM and DVM are dual to each other like: $G_{\mu… Expand

The long–standing problem with a non–Abelian tensor with non–trivial consistent couplings in four dimensions has been solved. The key technique is double–fold: (1) Adding extra Chern–Simons terms for… Expand

A bstractWe determine the off-shell N = 1 supersymmetry transformation rules for a tensor-Yang-Mills system in which the tensor field transforms in a nontrivial representation of the Yang-Mills… Expand

Deformations of maximal supergravity theories induced by gauging non-abelian subgroups of the duality group reveal the presence of charged M-theory degrees of freedom that are not necessarily… Expand

Various gauge invariant but non-Yang-Mills dynamical models are discussed: Pr\'ecis of Chern-Simons theory in (2+1)-dimensions and reduction to (1+1)-dimensional B-F theories; gauge theories for… Expand

This book guides the reader from the basics of string theory to recent developments, before describing modern developments, including D-branes, string dualities and M-theory, and concludes with Matrix theory, the AdS/CFT duality and its generalizations.Expand