AdS/CFT beyond the classical supergravity paradigm: Strongly coupled gauge theories and black holes

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The AdS/CFT, or holographic, correspondence offers new technical and conceptual insights into the dynamics of strongly interacting quantum systems, such as those underlying the strong nuclear force or superconductors, and the physics of black holes. With this proposal, we will utilise novel developments in string theory, supergravity and quantum field theory to answer some of the challenging open questions in this research area. In particular, we will develop new techniques to explicitly compute physical observables, like correlation functions, in strongly coupled quantum field theories that admit a dual holographic description in string theory. In addition, we will find new ways to study the quantum corrections to the classical two-derivative supergravity approximation by systematically incorporating string theory effects. This, in turn, will allow us to probe open questions in quantum gravity by explicitly calculating quantum corrections to the thermodynamic and statistical properties of black holes arising from string and M-theory.