2020/08/27 by Berman, Robert J., Collins, Tristan C., Persson, Daniel · 1 citation
#Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2008.12004
We consider supergravity in five-dimensional Anti-De Sitter space AdS5 with minimal supersymmetry, encoded by a Sasaki-Einstein metric on a five-dimensional compact manifold M. Our main result reveals how the Sasaki-Einstein metric emerges from a canonical state in the dual CFT, defined by a superconformal gauge theory in four dimensional Minkowski space ℝ3,1in the t'Hooft limit where the rank N tends to infinity. We obtain explicit finite N-approximations to the Sasaki-Einstein metric, expressed in terms of a canonical (i.e. background free) BPS-state on the gauge theory side. We also provide a string theory interpretation of the BPS-state in question, which sheds new light on the previously noted intriguing duality of giant gravitons.