Bootstat 2021: Conformal bootstrap and statistical models

Europe/Paris
Institut Pascal, Orsay, France & online

Institut Pascal, Orsay, France & online

Description

A platform where experts in conformal bootstrap techniques and in statistical physics can discuss and solve specific mathematical and physical problems.

Week 1: Status of the conformal bootstrap

Leading experts on the conformal bootstrap will give introductory courses on:

  • Conformal symmetry and conformally invariant QFTs.
  • Input and output data of the conformal bootstrap.
  • Analytical and numerical tools.
  • Pros and cons of various techniques.

Week 2: Statistical physics targets

Discussing various statistical models, with an emphasis on the aspects that are relevant to a bootstrap approach.

  • Symmetries, unitarity.
  • Space of states, critical exponents, correlation functions.
  • Which observables can be computed with a good precision?
  • Families of models, marginal deformations, toy models.
  • Outstanding physical questions, interest of the critical limit for these questions.

Examples may include: percolation, depinning, loop-erased random walks, sandpiles, Chalker-Coddington network for the integer quantum Hall effect.

Week 3: Structural phase transitions and other unitary problems

Structural phase transitions are described by unitary theories, which makes them accessible to existing numerical bootstrap methods. However, they are challenging because of their intricate group theory and phenomenology. We will review:

  • Necessary group theory tools.
  • Main results from the renormalization group approach.
  • Experimental situation.

We will also discuss other types of unitary CFTs.

Week 4: Non-unitary bootstrap methods

The best-developed numerical bootstrap techniques rely on unitarity, which is however not available in logarithmic CFTs, the critical Potts model, percolation, or disordered systems. We will explore two approaches to the non-unitary bootstrap:

  • The perturbative epsilon expansion.
  • Gliozzi's method and extremal flows.

We may start with a family of unitary models such as the O(N) model, and vary the parameter continuously to a non-unitary or logarithmic fixed point.

Participants
  • Achille Mauri
  • Adam Nahum
  • Agnese Bissi
  • Aike Liu
  • Alberto Rosso
  • Aleix Gimenez Grau
  • Alessandro Galvani
  • Alessandro Georgoudis
  • Alessandro Vichi
  • Alexander Söderberg
  • Alexandre Homrich
  • Alexi Morin-Duchesne
  • Amnon Aharony
  • Ana Flack
  • Andre LeClair
  • Andrea Cappelli
  • Andrea Manenti
  • Andrea Trombettoni
  • Andreas Stergiou
  • Andrei Fedorenko
  • Andrei Rotaru
  • Andrzej Chlebicki
  • António Antunes
  • Anurag Kaushal
  • Apratim Kaviraj
  • Augustin Lafay
  • Azat Gainutdinov
  • Balt van Rees
  • Barak Gabai
  • Benoit Estienne
  • Benoit Sirois
  • Bernard Julia
  • Bernardo Zan
  • Bertrand Duplantier
  • BHASKAR JYOTI KHANIKAR
  • Biswajit Sahoo
  • Blagoje Oblak
  • Brian McPeak
  • bruno mettout
  • Camille Aron
  • Chi-Ming Chang
  • Christoph Kopper
  • Connor Behan
  • Cyril Malbranke
  • Dalimil Mazac
  • Dario Benedetti
  • David Meltzer
  • David Mukamel
  • David Poland
  • Davide Lettera
  • Denis Bernard
  • Denis Karateev
  • Didina Serban
  • Dmitry Chernyak
  • Edoardo Lauria
  • Emanuel Katz
  • Emilio Trevisani
  • Erik Tonni
  • Fabian Aguirre
  • Ferdinando Gliozzi
  • Filiberto Ares
  • Francesco Bertucci
  • Francesco Parisen Toldin
  • Francesco Russo
  • François David
  • Félix Werner
  • Gabriel Gouraud
  • Gabriele Di Ubaldo
  • Gauthier Mukerjee
  • Gesualdo Delfino
  • giacomo gori
  • Giampaolo Folena
  • Gian Paolo Vacca
  • Giulia Fardelli
  • Hao Chen
  • Hao Geng
  • Hirohiko Shimada
  • Hong Yao
  • Hongbin Chen
  • Hubert Saleur
  • Hugh Osborn
  • Ilija Buric
  • Ilya Gruzberg
  • Ivan Dornic
  • Jacopo Viti
  • James Bonifacio
  • James Sethna
  • Jan Albert
  • Jan Troost
  • Jaychandran Padayasi
  • Jean-Bernard Zuber
  • jean-claude Toledano
  • Jerome Dubail
  • Jesper Jacobsen
  • Jiabao Yang
  • Jiaxin Qiao
  • Jie-qiang Wu
  • Joao Penedones
  • Johan Henriksson
  • Joshua Sandor
  • Joshua Squires
  • Jovan Odavić
  • João Vilas Boas
  • Julien Barrat
  • Julien Sparfel
  • Junchen Rong
  • Justin Kulp
  • kausik Ghosh
  • Kay Wiese
  • Konstantinos Roumpedakis
  • Kuo-Wei Huang
  • Liam Fitzpatrick
  • Linnea Grans-Samuelsson
  • Lorenzo Maffi
  • Lourdes Bibiana Merino Solís
  • Luca Delacretaz
  • Lucia Cordova
  • Malo Tarpin
  • Malte Henkel
  • Marc Gillioz
  • Marco Meineri
  • Marco Picco
  • Marco Serone
  • Maria Refinetti
  • Marten Reehorst
  • Martin Zirnbauer
  • Maxence Arutkin
  • Michael Milam
  • Miguel Paulos
  • Miha Srdinšek
  • Mikhail Kompaniets
  • Murat Kologlu
  • Mykola Shpot
  • Nima Afkhami-Jeddi
  • Nina Javerzat
  • Ning Su
  • Olivier Rousselle
  • Omar Zanusso
  • Parijat Dey
  • Pedro Vieira
  • Petr Kravchuk
  • Philine van Vliet
  • Pierfrancesco Urbani
  • pierre le doussal
  • Pierre Toledano
  • Pinaki Banerjee
  • Rajeev Erramilli
  • Raoul Santachiara
  • Reiko Toriumi
  • Rhea Moutafis
  • Riekshika Sanwari
  • Robert Conte
  • Rongvoram Nivesvivat
  • Ross Dempsey
  • Sabine Harribey
  • Saman Soltani
  • Satoshi Okuda
  • Scott Collier
  • Sebastian Kapfer
  • Shai Chester
  • Shinobu Hikami
  • Shumpei Iino
  • Silvio Franz
  • Silvio Franz
  • Silviu Pufu
  • Slava Rychkov
  • Soner Albayrak
  • Stefanos Robert Kousvos
  • Stéphane OUVRY
  • Subhadeep Rakshit
  • Suman Kundu
  • Sumedha Sumedha
  • Sylvain Ribault
  • tomas lucivjansky
  • Tyler Salners
  • Tzu-Chen Huang
  • Uriel Luviano
  • Victor Gorbenko
  • Victor Luca Iliesiu
  • Victor Rodriguez
  • Vladimir KAZAKOV
  • Vladimir Narovlansky
  • Volker Schomerus
  • Wei Li
  • Wenliang Li
  • Xi Yin
  • Xiang Zhao
  • Xiangyu Cao
  • Xinan Zhou
  • Yacine Ikhlef
  • Yifan Wang
  • Yifei He
  • Yin-Chen He
  • Ying-Hsuan Lin
  • Yoshiki Fukusumi
  • Yu Nakayama
  • Yuan Xin
  • Yue-Zhou Li
  • Zahra Zahraee
  • Zechuan Zheng
  • Zhehan Qin
  • Zhijin Li
  • Zhongjie Huang