This is a review article on the quantum toroidal algebras, focusing on their roles in various
solvable structures of 2d conformal field theory, supersymmetric gauge theory, and string …

We review particle physics model building in type IIB string theory and F-theory. This is a
region in the landscape where in principle many of the key ingredients required for a …

We give a brief overview of the string landscape and techniques used to construct string
compactifications. We then explain how this motivates the notion of the swampland and …

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 study a variational problem whose critical point determines the Reeb vector field for a
Sasaki–Einstein manifold. This extends our previous work on Sasakian geometry by lifting …

We derive a gravitational block formula for the supersymmetric action for a general class of
supersymmetric AdS solutions, described by GK geometry. Extremal points of this action …

A bstract We show that the superconformal index of\(\mathcal {N}= 1\) superconformal field
theories in four dimensions has an asymptotic growth of states which is exponential in the …

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 extend the Script N= 4 superconformal Chern-Simons theories of Gaiotto and Witten to
those with additional twisted hyper-multiplets. The new theories are generically linear quiver …

We propose an equivalence of the partition functions of two different 3d gauge theories. On
one side of the correspondence we consider the partition function of 3d\({\text {SL}}\left …