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Brane dimers and quiver gauge theories

Franco, Sebastian; Hanany, Amihay; Vegh, David; Wecht, Brian; Kennaway, Kristian

Authors

Sebastian Franco

Amihay Hanany

David Vegh

Brian Wecht

Kristian Kennaway



Abstract

We describe a technique which enables one to quickly compute an infinite number of toric geometries and their dual quiver gauge theories. The central object in this construction is a ``brane tiling,'' which is a collection of D5-branes ending on an NS5-brane wrapping a holomorphic curve that can be represented as a periodic tiling of the plane. This construction solves the longstanding problem of computing superpotentials for D-branes probing a singular non-compact toric Calabi-Yau manifold, and overcomes many difficulties which were encountered in previous work. The brane tilings give the largest class of = 1 quiver gauge theories yet studied. A central feature of this work is the relation of these tilings to dimer constructions previously studied in a variety of contexts. We do many examples of computations with dimers, which give new results as well as confirm previous computations. Using our methods we explicitly derive the moduli space of the entire Yp,q family of quiver theories, verifying that they correspond to the appropriate geometries. Our results may be interpreted as a generalization of the McKay correspondence to non-compact 3-dimensional toric Calabi-Yau manifolds.

Citation

Franco, S., Hanany, A., Vegh, D., Wecht, B., & Kennaway, K. (2006). Brane dimers and quiver gauge theories. Journal of High Energy Physics, 2006(01), Article 096. https://doi.org/10.1088/1126-6708/2006/01/096

Journal Article Type Article
Publication Date Jan 18, 2006
Deposit Date Jan 27, 2014
Publicly Available Date Mar 28, 2024
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Electronic ISSN 1029-8479
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2006
Issue 01
Article Number 096
DOI https://doi.org/10.1088/1126-6708/2006/01/096
Keywords AdS-CFT and dS-CFT Correspondence, D-branes.

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