##### Workshop

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

**May 23, 2016 - Jul 08, 2016**

**Abstract**

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.

**Topics**

- 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

**Organizers**

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)

**Contact**

andrea.cappelli@fi.infn.it

vyacheslav.rychkov@cern.ch

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.

**Talks**

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. |
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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 |