Conformal Field Theories and Renormalization Group Flows in Dimensions d>2




Andrea Cappelli (INFN, Florence), Jared Kaplan (Johns Hopkins, Baltimore), Joao Penedones (University of Porto), David Poland (Yale University), Leonardo Rastelli (YITP, Stony Brook), Slava Rychkov (CERN and ENS, Paris), Pedro Vieira (Perimeter Institute)

  Period: from 23-05-2016 to 08-07-2016  

This workshop highlights the project of classifying and solving Conformal Field Theories (CFTs) and renormalization group (RG) flows between them. From critical phenomena to QCD to quantum gravity,  many themes at the frontiers of theoretical physics converge on this endeavor. Our focus will be on strongly coupled theories, and on spacetime dimensions greater than two, where a lot remains to be  uncovered compared to the relatively well-explored two-dimensional case. A central role will be played  by the bootstrap philosophy - the idea that fundamental principles can be used to determine dynamics.
The goals will be to explore general constraints on conformal theories and RG flows which can be established non-perturbatively and without relying on Lagrangians, and then to use these constraints for obtaining definite predictions.



- Conformal bootstrap approach to CFTs in diverse dimensions

- Applications to condensed matter, statistical, and high-energy physics

- Monotonicity constraints on RG flows

- Truncated conformal space approach to strongly coupled RG flows

- Connections to the AdS/CFT correspondence and quantum gravity

- Connections to N=4 Super-Yang-Mills theory and integrability


 The 2nd and 3rd weeks of the program (30 May - 10 June) will be focus weeks with a larger concentration of talks. Participants to these weeks will be asked a conference fee of 45 euro/week. We plan a more relaxed schedule for the rest of the program, allowing plenty of time for discussions and collaborations.



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