Chiral transition of N=4 super Yang-Mills theory with flavor on a 3-sphere

We use the AdS/CFT correspondence to perform a numerical study of a phase transition in strongly-coupled large-N-c N=4 Super-Yang-Mills theory on a 3-sphere coupled to a finite number N-f of massive N=2 hypermultiplets in the fundamental representation of the gauge group. The gravity dual system is a number N-f of probe D7-branes embedded in AdS(5)xS(5). We draw the phase diagram for this theory in the plane of hypermultiplet mass versus temperature and identify for temperatures above the Hawking-Page deconfinement temperature a first-order phase transition line across which the chiral condensate jumps discontinuously.