Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-05-05
JHEP 0610 (2006) 051
Physics
High Energy Physics
High Energy Physics - Theory
44 pages, LaTeX, 9 figures. v2: References added
Scientific paper
10.1088/1126-6708/2006/10/051
We study the AdS/CFT relation between an infinite class of 5-d Ypq Sasaki-Einstein metrics and the corresponding quiver theories. The long BPS operators of the field theories are matched to massless geodesics in the geometries, providing a test of AdS/CFT for these cases. Certain small fluctuations (in the BMN sense) can also be successfully compared. We then go further and find, using an appropriate limit, a reduced action, first order in time derivatives, which describes strings with large R-charge. In the field theory we consider holomorphic operators with large winding numbers around the quiver and find, interestingly, that, after certain simplifying assumptions, they can be described effectively as strings moving in a particular metric. Although not equal, the metric is similar to the one in the bulk. We find it encouraging that a string picture emerges directly from the field theory and discuss possible ways to improve the agreement.
Benvenuti Sergio
Kruczenski Martin
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