Precision Test of Gauge-Gravity Duality with Flavor

Andreas Karch, Brandon Robinson, Christoph F. Uhlemann
2015 Physical Review Letters  
In this letter 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 to describe N=4 SYM 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
more » ... /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.
doi:10.1103/physrevlett.115.261601 pmid:26764985 fatcat:7lmb6a6m3jfczfvv7cttug2gxi