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
Open accessAbstract
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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Cites
The large $N$ limit of superconformal field theories and supergravity
Maldacena, J. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a1 · Cited by 14,524
Anti de Sitter space and holography
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Gauge theory correlators from non-critical string theory
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Gauge Theory Correlators from Non-Critical String Theory
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Gauge Theory Correlators from Non-Critical String Theory
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Electric-magnetic duality in supersymmetric non-Abelian gauge theories
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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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