Finite baryon and isospin chemical potential in AdS/CFT with flavor

Understand

We investigate the thermodynamics of a thermal field theory in presence of both a baryon and an isospin chemical potential.

• For this we consider a probe of several D7-branes embedded in the AdS-Schwarzschild black hole background.
• We determine the structure of the phase diagram and calculate the relevant thermodynamical quantities both in the canonical and in the grand canonical ensemble.
• We discuss how accidental symmetries present reflect themselves in the phase diagram: In the case of two flavors, for small densities, there is a rotational symmetry in the plane spanned by the baryon and isospin density which breaks down at large densities, leaving a Z_4-symmetry.