Obstructions to the Existence of Sasaki-Einstein Metrics (2006)
Gauntlett, J P, Martelli, D, Sparks, J, Yau, S T
We describe two simple obstructions to the existence of Ricci-flat Kahler cone metrics on isolated Gorenstein singularities or, equivalently, to the existence of Sasaki-Einstein metrics on the links...
Sasaki-Einstein Manifolds and Volume Minimisation (2006)
Martelli, D, Sparks, J, Yau, S T
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 the condition that...
Supersymmetric $ADS_{5}$ Solutions of Type IIB Supergravity (2005)
Gauntlett, J P, Martelli, D, Sparks, J, Waldram, D
We analyse the most general bosonic supersymmetric solutions of type IIB supergravity whose metrics are warped products of five-dimensional anti-de Sitter space AdS_5 with a five-dimensional...
Gauge Theories from Toric Geometry and Brane Tilings (2005)
Franco, S, Hanany, A, Martelli, D, Sparks, J, Végh, D, Wecht, B
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 and topology of...
Toric Sasaki-Einstein metrics on $S^2 x S^3$ (2005)
We show that by taking a certain scaling limit of a Euclideanised form of the Plebanski-Demianski metrics one obtains a family of local toric Kahler-Einstein metrics. These can be used to construct...
The Geometric Dual of a-maximisation for Toric Sasaki-Einstein Manifolds (2005)
Martelli, D, Sparks, J, Yau, S T
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 minimising a function Z...
An Infinite Family of Superconformal Quiver Gauge Theories with Sasaki-Einstein Duals (2004)
Benvenuti, S, Franco, S, Hanany, A, Martelli, D, Sparks, J
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 obtained from a family of...
Toric Geometry, Sasaki-Einstein Manifolds and a New Infinite Class of AdS/CFT Duals (2004)
Recently an infinite family of explicit Sasaki-Einstein metrics Y^{p,q} on S^2 x S^3 has been discovered, where p and q are two coprime positive integers, with q
Supersymmetric AdS Backgrounds in String and M-theory (2004)
Gauntlett, J P, Martelli, D, Sparks, J, Waldram, D
We first present a short review of general supersymmetric compactifications in string and M-theory using the language of G-structures and intrinsic torsion. We then summarize recent work on the...