Brane tilings

KD Kennaway - International Journal of Modern Physics A, 2007 - World Scientific
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 …

Rotating multi-charge spindles and their microstates

SM Hosseini, K Hristov, A Zaffaroni - Journal of High Energy Physics, 2021 - Springer
A bstract Some AdS 3× M 7 type IIB vacua have been recently proposed to arise from D3-
branes wrapped on a spindle, a sphere with conical singularities at the poles. We explicitly …

Sasaki–Einstein manifolds and volume minimisation

D Martelli, J Sparks, ST Yau - Communications in Mathematical Physics, 2008 - Springer
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 …

Gauge theories from toric geometry and brane tilings

S Franco, A Hanany, D Martelli, J Sparks… - Journal of High …, 2006 - iopscience.iop.org
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 …

The asymptotic growth of states of the 4d superconformal index

A Cabo-Bizet, D Cassani, D Martelli… - Journal of High Energy …, 2019 - Springer
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 from mirror symmetry and quivering amoebae

B Feng, YH He, KD Kennaway, C Vafa - 2008 - projecteuclid.org
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 …

Quivers, tilings, branes and rhombi

A Hanany, D Vegh - Journal of High Energy Physics, 2007 - iopscience.iop.org
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 …

Supersymmetry on curved spaces and holography

C Klare, A Tomasiello, A Zaffaroni - Journal of High Energy Physics, 2012 - Springer
A bstract We study superconformal and supersymmetric theories on Euclidean four-and
three-manifolds with a view toward holographic applications. Preserved supersymmetry for …

Microstate counting via Bethe Ansätze in the 4d = 1 superconformal index

AG Lezcano, LA Pando Zayas - Journal of High Energy Physics, 2020 - Springer
A bstract We study the superconfomal index of four-dimensional toric quiver gauge theories
using a Bethe Ansatz approach recently applied by Benini and Milan. Relying on a particular …

A geometric dual of c-extremization

C Couzens, JP Gauntlett, D Martelli… - Journal of High Energy …, 2019 - Springer
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) …