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Cited by 420

The DOI matches its Crossref record; 43 of the 43 references it cites were found in a registry or an index.

Gauge theories from toric geometry and brane tilings

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Franco, Sebastián, Hanany, Amihay, Martelli, Dario, Sparks, James, Vegh, David, Wecht, Brian·2006·Journal of High Energy Physics

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 La,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.

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Metadata

Authors
Franco, S., Hanany, A., Martelli, D., Sparks, J., Vegh, D., & Wecht, B.
Venue
Journal of High Energy Physics
Published
2006-01-23
Volume
2006
Issue
01
Pages
128-128
ISSN
1029-8479 (ISSN-L)
OpenAlex
W2090467627
Cited by
420
References
43
FWCI
26.80
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Gauge theories from toric geometry and brane tilings. https://app.cochat.ai/papers/10.1088/1126-6708/2006/01/128
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Franco, S., Hanany, A., Martelli, D., Sparks, J., Vegh, D., & Wecht, B. (2006). Gauge theories from toric geometry and brane tilings. Journal of High Energy Physics. https://doi.org/10.1088/1126-6708/2006/01/128

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