Operator with large spin and spinning D3-brane
arXiv:0908.3938 · doi:10.1088/1126-6708/2009/11/024
Abstract
We consider the conformal dimension of an operator with large spin, using a spinning D3-brane with electric flux in AdS_5 x S^5 instead of spinning fundamental string. This spinning D3-brane solution seems to correspond to an operator made by taking trace in a large symmetric representation. The conformal dimension, the spin and the R-charge show a scaling relation in a certain region of parameters. In the small string charge limit, the result is consistent with the fundamental string picture. There is a phase transition when the fundamental string charge become larger than a certain critical value; there is no stable D3-brane solution above the critical value.
16 pages, 4 figures. v2: typos corrected, references added, series expansion of anomalous dimension added. v3: a reference added, comment on calculation in gauge theory
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