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

May, 23 2016 - Jul, 08 2016




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)



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.

May, 24 2016 - 11:00 Gregory Korchemsky Level crossing in conformal field theories Seminar
May, 25 2016 - 11:00 Benjamin Doyon A Monte Carlo method for critical systems in infinite volume: the planar Ising mode Seminar
May, 26 2016 - 11:00 Hugh Osborn Non Trivial Non Unitary CFTs in Any Dimension Seminar
May, 27 2016 - 11:00 Andreas Lauchli CFTs and Condensed Matter: An Overview and Open Problems Seminar
Jun, 13 2016 - 11:00 Edoardo Lauria Defects in conformal field theory Seminar
Jun, 16 2016 - 11:00 Xi Yin tda Seminar
Jun, 17 2016 - 11:00 Simeon Hellerman Super-Big J: Moduli Spaces From Operators With Large R-Charge Seminar
Jun, 20 2016 - 11:00 Aldo Delfino Exact predictions from field theory: 2D percolation and 3D XY model Seminar
Jun, 22 2016 - 11:00 Matthew Buican Conformal Manifolds in Four Dimensions and Chiral Algebras Seminar
Jun, 23 2016 - 11:00 Dailiang Li Conformal bootstrap in the lightcone limit Seminar
Jun, 24 2016 - 11:00 Paul Wiegmann Quantum Hall Effect as a case study of Quillen holomorphic anomaly Seminar
Jun, 27 2016 - 14:00 Cenke Xu Conformal field theories at the boundary of symmetry protected topological states Seminar
Jun, 28 2016 - 11:00 Aninda Sinha Conformal bootstrap in Mellin space Seminar
Jun, 28 2016 - 14:00 Alessandro Vichi The ABC (in any D) of Logarithmic CFT Seminar
Jun, 29 2016 - 11:00 Stefan Hollands OPE Algebra Seminar

The OPE is not only useful as practical tool, but also has a wider conceptual significance as an algebraic backbone of quantum field theories. It is best understood in the context of conformal field theories in two - and recently also higher - dimensions, but in principle its validity is not restricted to this context. In this talk, I first describe in detail the convergence properties of the expansion in the context of perturbative Lagrangian quantum field theories by presenting rather detailed estimates of the remainder in the OPE applied to a correlation function with spectators. These estimates, which are valid to arbitrary loop order, show in particular that the convergence properties of the expansion are considerably better than previously thought.
I also describe novel recursion relation for OPE coefficients which allows the characterization and computation of OPE coefficients of CFTs perturbed by relevant or marginal operators. The formula automatically (!) incorporates all aspects of renormalization.

Jun, 30 2016 - 11:00 Todadri Senthil A web of dualities in 3 dimensions and condensed matter physic Seminar
Jun, 30 2016 - 14:00 Shira Chapman Shape Dependence of Holographic Renyi Entropy in Conformal Field Theories in Arbitrary Dimension Seminar
Jul, 01 2016 - 10:00 John Gracey Ideas on higher dimensional scalar and gauge theories Seminar
Jul, 04 2016 - 14:00 Fernando Alday Unitarity and positivity constraints for CFT at large central charge Seminar
Jul, 05 2016 - 11:00 Adam Nahum Deconfined Quantum Criticality: Emergent Symmetry and Unconventional Scaling Seminar
Jul, 05 2016 - 14:00 Oliver Rosten An Introduction to the Exact RG Seminar
Jul, 06 2016 - 11:00 Manuela Kulaxizi Constraints on OPE coefficients Seminar
Jul, 07 2016 - 11:00 Anatoly Konechny RG interfaces and TCSA Seminar
Jul, 07 2016 - 14:00 Gabor Takacs Truncated Hamiltonian approach to quantum quenches in field theory Seminar
Jul, 08 2016 - 11:00 Konstantin Zarembo Defect CFT and Integrability Seminar