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Precision Test of Gauge-Gravity Duality with Flavor
Andreas Karch1, Brandon Robinson1, Christoph F Uhlemann1
1Department of Physics, University of Washington, Seattle, Washington 98195-1560, USA.
Abstract:
We put AdS/CFT dualities involving probe branes to a precision test. On the holographic side we use a new class of supersymmetric D7-brane embeddings into AdS(5)×S(5), which allow us to describe N=4 super Yang-Mills theory coupled to massive N=2 supersymmetric flavors on S(4). With these embeddings we can compare holographic results to a field theory analysis of the free energy using supersymmetric localization. Localization allows us to get results at strong coupling, and hence to compare in detail to AdS/CFT. We find analytically matching results: a phase transition at the same critical mass in both calculations and matching free energies up to a scheme-dependent constant in both phases.
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