We review and extend the progress made over the past few years in understanding the
structure of toric quiver gauge theories; those which are induced on the worldvolume of a …

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 …

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 review recent developments in the theory of brane tilings and four‐dimensional 𝒩= 1
supersymmetric quiver gauge theories. This review consists of two parts. In part I, we …

We conjecture a general formula for assigning R-charges and multiplicities for the chiral
fields of all gauge theories living on branes at toric singularities. We check that the central …

We present the superconformal gauge theory living on the world-volume of D3 branes
probing the toric singularities with horizon the recently discovered Sasaki-Einstein manifolds …

The AdS/CFT correspondence between Sasaki-Einstein spaces and quiver gauge theories
is studied from the perspective of massless BPS geodesics. The recently constructed toric L …

Using AdS/CFT, we study the addition of an arbitrary number of backreacting flavors to the
Klebanov-Witten theory, making many checks of consistency between our new Type IIB plus …

Using analytic techniques developed for Hamiltonian dynamical systems, we show that a
certain classical string configuration in AdS 5× X 5 with X 5 in a large class of Einstein …