A new infinite class of quiver gauge theories
Author(s) -
Amihay Hanany,
Pavlos Kazakopoulos,
Brian Wecht
Publication year - 2005
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 - 10.1088/1126-6708/2005/08/054
Subject(s) - quiver , seiberg duality , gauge theory , pure mathematics , class (philosophy) , mathematics , duality (order theory) , toric variety , algebraic number , quadratic equation , supersymmetric gauge theory , gauge (firearms) , physics , theoretical physics , algebra over a field , mathematical physics , gauge anomaly , mathematical analysis , geometry , computer science , archaeology , artificial intelligence , history
We construct a new infinite family of N=1 quiver gauge theories which can beHiggsed to the Y^{p,q} quiver gauge theories. The dual geometries are toricCalabi-Yau cones for which we give the toric data. We also discuss the actionof Seiberg duality on these quivers, and explore the different Seiberg dualtheories. We describe the relationship of these theories to five dimensionalgauge theories on (p,q) 5-branes. Using the toric data, we specify some of theproperties of the corresponding dual Sasaki-Einstein manifolds. These theoriesgenerically have algebraic R-charges which are not quadratic irrationalnumbers. The metrics for these manifolds still remain unknown.Comment: 29 pages, JHE
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