The study of higher-dimensional black holes is a subject which has recently attracted vast
interest. Perhaps one of the most surprising discoveries is a realization that the properties of …

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 …

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 …

We study the spectrum of BPS particles on the Coulomb branch of five-dimensional
superconformal field theories (5d SCFTs) compactified on a circle. By engineering these …

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 …

arXiv:1004.2461v2 [math.DG] 24 May 2010 Page 1 arXiv:1004.2461v2 [math.DG] 24 May
2010 Sasaki-Einstein Manifolds James Sparks A Sasaki-Einstein manifold is a Riemannian …

These are the lecture notes for the course given at the “XXVII International Fall Workshop on
Geometry and Physics” held in Seville (Spain) in September 2018. We review the geometric …

A bstract We consider supersymmetric AdS 3× Y 7 and AdS 2× Y 9 solutions of type IIB and
D= 11 supergravity, respectively, that are holographically dual to SCFTs with (0, 2) …