Vichi Lab

University of Pisa

Centro (IT) (ITI) · Italy

ERC-funded
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ERC Starting Grant · 2017

Charting the space of Conformal Field Theories: a combined nuMerical and Analytical aPproach

Conformal Field Theory (CFT) was originally conceived in four and three dimensions, with applications to particle physics and critical phenomena in mind. However, it is in two dimensions that the most spectacular results have been obtained. In higher dimensions, there used to be a general feeling that the constraining power of conformal symmetry by itself is insufficient to tell nontrivial things about the dynamics. Hence the interest in various additional assumptions. This is not fully satisfactory, since there are likely many CFTs that do not fulfill any of them. The main focus of this proposal is to take a fresh look at the idea that the mathematical structure of CFTs is instead such a…

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