Quivers, tilings, branes and rhombi | Zendy

Amihay Hanany | Zendy; David Vegh | Zendy

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Quivers, tilings, branes and rhombi

Author(s) -

Amihay Hanany,

David Vegh

Publication year - 2007

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2007/10/029

Subject(s) - quiver , brane , brane cosmology , duality (order theory) , singularity , mathematics , simple (philosophy) , seiberg duality , gauge theory , space (punctuation) , manifold (fluid mechanics) , pure mathematics , perspective (graphical) , theoretical physics , physics , mathematical physics , supersymmetric gauge theory , computer science , geometry , mechanical engineering , philosophy , gauge anomaly , epistemology , engineering , operating system

We describe a simple algorithm that computes the recently discovered branetilings for a given generic toric singular Calabi-Yau threefold. This thereforegives AdS/CFT dual quiver gauge theories for D3-branes probing the givennon-compact manifold. The algorithm solves a longstanding problem by computingsuperpotentials for these theories directly from the toric diagram of thesingularity. We study the parameter space of a-maximization; this study is madepossible by identifying the R-charges of bifundamental fields as angles in thebrane tiling. We also study Seiberg duality from a new perspective.Comment: 36 pages, 40 figures, JHEP

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