Baryonic generating functions | Zendy

Davide Forcella | Zendy; Amihay Hanany | Zendy; Alberto Zaffaroni | Zendy

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Baryonic generating functions

Author(s) -

Davide Forcella,

Amihay Hanany,

Alberto Zaffaroni

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 - 10.1088/1126-6708/2007/12/022

Subject(s) - quiver , conifold , orbifold , baryon , physics , moduli space , gauge theory , manifold (fluid mechanics) , theoretical physics , mathematics , particle physics , pure mathematics , mechanical engineering , engineering

We show how it is possible to use the plethystic program in order to computebaryonic generating functions that count BPS operators in the chiral ring ofquiver gauge theories living on the world volume of D branes probing a noncompact CY manifold. Special attention is given to the conifold theory and theorbifold C^2/Z_2 times C, where exact expressions for generating functions aregiven in detail. This paper solves a long standing problem for thecombinatorics of quiver gauge theories with baryonic moduli spaces. It opensthe way to a statistical analysis of quiver theories on baryonic branches.Surprisingly, the baryonic charge turns out to be the quantized Kahler modulusof the geometry.Comment: 44 pages, 7 figures; fonts change

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