An exact and general solution is presented for a previously open problem. We show that the
superconformal R-symmetry of any 4d SCFT is exactly and uniquely determined by a …

We describe a technique which enables one to quickly compute an infinite number of toric
geometries and their dual quiver gauge theories. The central object in this construction is …

We develop a systematic and efficient method of counting single-trace and multi-trace BPS
operators with two supercharges, for world-volume gauge theories of N D-brane probes for …

We provide a general set of rules for extracting the data defining a quiver gauge theory from
a given toric Calabi-Yau singularity. Our method combines information from the geometry …

We show that the Reeb vector, and hence in particular the volume, of a Sasaki–Einstein
metric on the base of a toric Calabi–Yau cone of complex dimension n may be computed by …

We propose a duality between quiver gauge theories and the combinatorics of dimer
models. The connection is via toric diagrams together with multiplicities associated to points …

Recently an infinite family of explicit Sasaki–Einstein metrics Y p, q on S 2× S 3 has been
discovered, where p and q are two coprime positive integers, with q< p. These give rise to a …

Dimer models are 2-dimensional combinatorial systems that have been shown to encode
the gauge groups, matter content and tree-level superpotential of the world-volume quiver …

We describe an infinite family of quiver gauge theories that are AdS/CFT dual to a
corresponding class of explicit horizon Sasaki-Einstein manifolds. The quivers may be …

We describe a simple algorithm that computes the recently discovered brane tilings for a
given generic toric singular Calabi-Yau threefold. This therefore gives AdS/CFT dual quiver …