#### Patrick Kerner

Speaker: Patrick Kerner (Max-Planck-Institute Munich, MPI)

Title: Quantum Phase Transitions in holographic Superfluids at finite

baryon and isospin chemical potentials

Abstract: We discuss holographic duals of strongly interacting gauge

theories which show properties of p-wave superfluids which in addition

to an Abelian symmetry also break the spatial rotational symmetry. The

gravity duals of these superfluid states are black hole solutions with a

vector hair which we construct in back-reacted U(2) Einstein-Yang-Mills

theory and in the D3/D7 brane setup with two coincident D7-brane probes.

The latter allows us to identify the dual field theory explicitly. We

introduce two chemical potentials: the baryon chemical potential

corresponding to the overall U(1) and the isospin chemical potential

corresponding to a diagonal U(1) of SU(2). Studying the phase diagram we

find in both systems a quantum phase transition at a critical ratio of

the baryon to isospin chemical potential.

**Location:**
Jadwin 303

**Date/Time: **10/12/10
at
12:40 pm
- 10/12/10
at
2:00 pm

**Category: **High Energy Theory Seminar

**Department: **Physics