Conformal Field Theory - Département de Physique de l'Ecole Normale supérieure

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Conformal Field Theory

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Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship

News : ICFP Research seminars
November 14 - 18, 2022 :
All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr

Quick links

Next student seminar :
Access to the program

Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship

News : ICFP Research seminars
November 14 - 18, 2022 :
All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr

Enseignants : Benoît Estienne, Yacine Ikhlef

Chargés de TD : Benoît Estienne, Yacine Ikhlef

ECTS : 3

Language of instruction : Anglais

Modalité d’évaluation : Devoir maison puis présentation orale portant sur le devoir avec des questions.
Modalité d’évaluation en cas de fermeture des universités : Devoir maison

Description :

This course is an introduction to Conformal Field Theory (CFT), in the context of two-dimensional (and quantum 1d) critical phenomena. We introduce the basic concepts of CFT : conformal invariance, primary operators, stress-energy tensor, Virasoro algebra, with some emphasis on the correspondence with concrete objects in the corresponding critical models. We expose the CFT formalism to treat correlation functions: Operator Product Expansions (OPEs), fusion rules, null-vector equations. We present the series of minimal models, which give a classification of unitary models of phase transitions. We study more advanced topics, such as modular invariance and the analytical conformal bootstrap. The goal of this course is to provide a solid exposition of the CFT formalism in two dimensions, as well as a good basis to develop the intuition for its application to Statistical Mechanics.

Quick links

Next student seminar :
Access to the program

Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship

News : ICFP Research seminars
November 14 - 18, 2022 :
All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr