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SEZIONE DI FIRENZE Two of the key problems of modern theories of fundamental interactions are the understanding of strongly coupled gauge theories and quantum gravity. Holographic duality, through the celebrated work of Maldacena, connects these two seemingly very different problems; it does so via a strong/weak correspondence, making it possible to infer the behavior of strongly coupled gauge theory from a weakly coupled theory of gravity and vice versa. This striking conjecture has fundamentally reshaped the way we think of gauge and gravity theories in the quantum regime.
A quantitative description of gauge/string duals with little or no supersymmetry would likely lead to a much better understanding of strongly coupled phenomena such as confinement or blackhole entropy, making their study an important goal of the community. However, a quantitative framework of generic dualities remains very ambitious. Instead, it may be useful to identify examples which have interesting dynamical behaviour that also retain some simplifying features that allow for a quantitative analysis.
The AdS3 /CFT2 duality is an ideal toymodel for such investigations. Since it has a relatively small amount of supersymmetry (half of the maximally supersymmetric AdS5 /CFT4 example) it allows for a rich dynamics. At the same time, AdS3 /CFT2 plays an important role in a variety of diverse problems in theoretical physics including the strongcoupling dynamics of twodimensional gauge theories, dynamics of threedimensional blackholes, quantum instanton moduli space of fourdimensional gauge theory, microscopic entropy counting in fivedimensional blackholes, higherspin spin symmetries and integrable models, to name but a few. As a result, there are a number of approaches to understanding this duality, each with its own set of tools.
The principal aims of this workshop are:
1. To review recent progress in AdS3 /CFT2.
2. To assemble a critical mass of leading international researchers in order to stimulate collaboration and inspire new developments.
3. To contribute to the research training of young researchers in Italy, Europe and worldwide.
