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Gauge theories from toric geometry and brane tilings

Articolo
Data di Pubblicazione:
2006
Abstract:
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 Sasaki-Einstein manifolds, AdS/CFT, dimers, and brane tilings. We explain how the field content, quantum numbers, and superpotential of a superconformal gauge theory on D3-branes probing a toric Calabi-Yau singularity can be deduced. The infinite family of toric singularities with known horizon Sasaki-Einstein manifolds L a,b,c is used to illustrate these ideas. We construct the corresponding quiver gauge theories, which may be fully specified by giving a tiling of the plane by hexagons with certain gluing rules. As checks of this construction, we perform a-maximisation as well as Z-minimisation to compute the exact R-charges of an arbitrary such quiver. We also examine a number of examples in detail, including the infinite subfamily La,b,a, whose smallest member is the Suspended Pinch Point.
Tipologia CRIS:
03A-Articolo su Rivista
Keywords:
AdS-CFT Correspondence; D-branes
Elenco autori:
Franco S.; Hanany A.; Martelli D.; Sparks J.; Vegh D.; Wecht B.
Autori di Ateneo:
MARTELLI Dario
Link alla scheda completa:
https://iris.unito.it/handle/2318/1739880
Link al Full Text:
https://iris.unito.it/retrieve/handle/2318/1739880/612909/Sebastia%BFn_Franco_2006_J._High_Energy_Phys._2006_128.pdf
Pubblicato in:
JOURNAL OF HIGH ENERGY PHYSICS
Journal
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URL

https://iopscience.iop.org/article/10.1088/1126-6708/2006/01/128
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