Counting BPS baryonic operators in CFTs with Sasaki-Einstein duals | Zendy

Agostino Butti | Zendy; Davide Forcella | Zendy; Alberto Zaffaroni | Zendy

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Counting BPS baryonic operators in CFTs with Sasaki-Einstein duals

Author(s) -

Agostino Butti,

Davide Forcella,

Alberto Zaffaroni

Publication year - 2007

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2007/06/069

Subject(s) - quiver , dual polyhedron , baryon , physics , brane , charge (physics) , partition (number theory) , central charge , gauge theory , baryon number , type (biology) , particle physics , mathematical physics , pure mathematics , mathematics , combinatorics , conformal map , geometry , ecology , biology

We study supersymmetric D3 brane configurations wrapping internal cycles oftype II backgrounds AdS(5) x H for a generic Sasaki-Einstein manifold H. Theseconfigurations correspond to BPS baryonic operators in the dual quiver gaugetheory. In each sector with given baryonic charge, we write explicit partitionfunctions counting all the BPS operators according to their flavor andR-charge. We also show how to extract geometrical information about H from thepartition functions; in particular, we give general formulae for computingvolumes of three cycles in H.Comment: 46 pages, 10 figures; comments and clarifications added, published versio

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