Conformal field theories have been long known to describe the fascinating universal physics
of scale invariant critical points. They describe continuous phase transitions in fluids …

We demonstrate electric-magnetic duality in N= 1 supersymmetric non-Abelian gauge
theories in four dimensions by presenting two different gauge theories (different gauge …

We obtain first order equations that determine a supersymmetric kink solution in five-
dimensional N= 8 gauged supergravity. The kink interpolates between an exterior anti-de …

Recently, it has become clear that certain aspects of four dimensional supersymmetric field
theories can be analyzed exactly, providing a laboratory for the analysis of the dynamics of …

We show that manifolds of fixed points, which are generated by exactly marginal operators,
are common in N= 1 supersymmetric gauge theory. We present a unified and simple …

We give the list of all positive energy UIR's of the conformal superalgebra su (2, 2 N). They
are realized as subrepresentations of elementary representations. The latter are induced …

We derive general bounds on operator dimensions, central charges, and OPE coefficients in
4D conformal and\(\mathcal {N}= 1\) superconformal field theories. In any CFT containing a …

The book begins with a brief review of supersymmetry, and the construction of the minimal
supersymmetric standard model and approaches to supersymmetry breaking. General non …

Exceptional field theories yield duality covariant formulations of supergravity. We show that
they provide a highly efficient tool to compute the Kaluza-Klein mass spectra associated with …

We introduce the topic of dynamical breaking of the electroweak symmetry and its link to
unparticle physics and cosmology. The knowledge of the phase diagram of strongly coupled …