## Summary of research

The theoretical framework for most of our calculations is the gauge-string duality, which relates supersymmetric gauge theory in four flat dimensions to supergravity in curved five-dimensional spacetimes, especially anti-de Sitter space.

Applications to heavy-ion collisions are focused on understanding the properties of the thermal medium created during the collisions. A widespread view is that this medium is strongly coupled, meaning that perturbative techniques have to be supplemented with strong coupling methods.

Superconducting black holes are a novel phase of black holes, often in curved spacetimes asymptotic to anti-de Sitter space. They spontaneously break an abelian gauge symmetry, and they exhibit characteristic features of superconductors, like the Meissner effect and an approximate gap in the spectrum of excitations as measured by the frequency-dependent conductivity.

Our research is funded by the Department of Energy under Grant No. DE-FG02-91ER40671 and by the NSF under award number PHY-0652782.