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

Date	Speaker	Title	Type	Useful Links
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	Abstract OPE Algebra 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