Baryonic Generating Functions

Details Baryonic Generating Functions Baryonic Generating Functions

2007-01-25

arxiv.org/abs/hep-th/0701236v2

JHEP 0712:022,2007

Physics

High Energy Physics

High Energy Physics - Theory

44 pages, 7 figures; fonts changed

Scientific paper

10.1088/1126-6708/2007/12/022

We show how it is possible to use the plethystic program in order to compute baryonic generating functions that count BPS operators in the chiral ring of quiver gauge theories living on the world volume of D branes probing a non compact CY manifold. Special attention is given to the conifold theory and the orbifold C^2/Z_2 times C, where exact expressions for generating functions are given in detail. This paper solves a long standing problem for the combinatorics of quiver gauge theories with baryonic moduli spaces. It opens the way to a statistical analysis of quiver theories on baryonic branches. Surprisingly, the baryonic charge turns out to be the quantized Kahler modulus of the geometry.

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