Semiclassical Quantization of Giant Gravitons

Details Semiclassical Quantization of Giant Gravitons Semiclassical Quantization of Giant Gravitons

2002-12-19

arxiv.org/abs/hep-th/0212228v1

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 8 figures

Scientific paper

We study excited spherical branes (``giant gravitons'') in $AdS \times S$ spacetimes with background flux. For large excitation, these branes may be treated semiclassically. We compute their spectra using Bohr-Sommerfeld quantization and use the AdS/CFT correspondence to relate them to anomalous dimensions in the dual field theory at strong coupling, expressed as a series expansion in powers of 1/N. These effects resemble those due to $k$-body forces between quarks in Hartree-Fock models of baryons at large $N$. For branes expanded in AdS, we argue that the anomalous dimensions are due to loop corrections to the effective action.

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