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ADS/CFT CORRESPONDENCE

String theory has proved to be mathematically very rich, and in the last decade has given rise to a whole new area of research, known as holographic duality. The basic idea of holographic duality is that theories of the type that are used in the Standard Model can be equivalently described in an entirely different, geometric way - the "holographic dual" - by using string theory in higher dimensional space-time.

Holographic duality has shed an entirely new light on the quark confinement problem and has deepened our understanding of the quark gluon plasma. Most recently, its applications have expanded to condensed matter physics and the understanding of quantum criticality and superconductivity.

The holographic dual to a strongly correlated condensed matter is a black hole in the curved auxiliary spacetime with one extra dimension. By studying these black holes under various external conditions we construct the phenomenology of the dual quantum system. These results can be directly compared with the experiments conducted in high temperature superconductors, strange metals and other materials, which are hard to address in the conventional approaches of condensed matter theory. The complimentary point of view provided by holographic phenomenology helps to understand the behavior of these interesting materials in an entirely new way.

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