The deconfined quantum critical point (QCP), separating the Néel and valence bond solid
phases in a 2D antiferromagnet, was proposed as an example of (2+ 1) D criticality …

These notes are loosely based on lectures given at the CERN Winter School on
Supergravity, Strings and Gauge theories, February 2009, and at the IPM String School in …

We explore a new class of supersymmetric models for lepton masses and mixing angles
where the role of flavour symmetry is played by modular invariance. The building blocks are …

The main theme of this review is the many-body physics of vortices in quantum droplets of
bosons or fermions in the limit of small particle numbers. Systems of interest include cold …

On the space of three-dimensional conformal field theories with U (1) symmetry and a
chosen coupling to a background gauge field, there is a natural action of the group SL (2, Z) …

We describe a web of well-known dualities connecting quantum field theories in $ d= 1+ 1$
dimensions. The web is constructed by gauging ${\bf Z} _2 $ global symmetries and …

We consider charge transport properties of 2+ 1 dimensional conformal field theories at
nonzero temperature. For theories with only Abelian U (1) charges, we describe the action of …

A bstract We investigate the origins and implications of the duality between topological
insulators and topological superconductors in three and four spacetime dimensions. In the …

We study black branes carrying both electric and magnetic charges in Einstein-Maxwell
theory coupled to a dilaton-axion in asymptotically anti de Sitter space. After reviewing and …

In AdS, scalar fields with masses slightly above the Breitenlohner-Freedman bound admit a
variety of possible boundary conditions which are reflected in the Lagrangian of the dual …