We present a pedagogical overview of flux compactifications in string theory, from the basic
ideas to the most recent developments. We concentrate on closed-string fluxes in type-II …

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Sasakian manifolds were first introduced in 1962. This book's main focus is on the intricate
relationship between Sasakian and Kähler geometries, especially when the Kähler structure …

A bstract We formulate a series of conjectures relating the geometry of conformal manifolds
to the spectrum of local operators in conformal field theories in d> 2 spacetime dimensions …

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 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 …

A bstract We engineer a large new set of four-dimensional\(\mathcal {N}= 1\) superconformal
field theories by wrapping M5-branes on complex curves. We present new supersymmetric …

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 …

In this paper we study compact Sasaki manifolds in view of transverse Kähler geometry and
extend some results in Kähler geometry to Sasaki manifolds. In particular we define integral …