ASC-PhD-Colloquium: Gauge/Gravity Duality Applied to Condensed Matter Systems
Dr. Martin Ammon, UCLA, Los Angeles
The AdS/CFT correspondence, or in general Gauge/Gravity dualities, relate strongly coupled d-dimensional gauge theories to gravity theories in weakly curved (d+1)-dimensional spacetime. Since the gravity theory is analytically tractable, it is possible to get insights into strongly coupled systems within the framework of gauge/gravity dualities.
In this talk I will review recent progress in gauge/gravity duality towards the description of strongly coupled systems near quantum critical points. The dynamics of interesting condensed matter systems, such as high temperature superconductors and heavy fermion compounds, is controlled by quantum critical points. By using an explicit, string theory-inspired realization of gauge/gravity dualities in terms of D-branes, the phase diagram of gauge theories is determined. In particular at large densities a new superconducting phase exists. Moreover we study fermions in this superconducting phase which show a non-Fermi liquid behaviour.