Statut  Confirmé 
Série  SOUTENTH 
Domaines  physics 
Date  Mercredi 10 Octobre 2018 
Heure  14:00 
Institut  IPHT 
Salle  Amphi Claude Bloch, Bât. 774 
Nom de l'orateur  Santiago Migliaccio 
Prenom de l'orateur  
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Institution de l'orateur  IPhT 
Titre  Conformal bootstrap in twodimensional conformal field theories with nondiagonal spectrums 
Résumé  Conformal symmetry imposes very strong constraints on quantum field theories. In two dimensions, the conformal symmetry algebra is infinitedimensional, and twodimensional conformal field theories can be completely solvable, in the sense that all their correlation functions may be computed. These theories have an ample range of applications, from string theory to critical phenomena in statistical physics, and they have been widely studied during the last decades. \par In this thesis we study twodimensional conformal field theories with Virasoro algebra symmetry, following the conformal bootstrap approach. Under the assumption that degenerate fields exist, we provide an extension of the analytic conformal bootstrap method to theories with nondiagonal spectrums. We write the equations that determine structure constants, and find explicit solutions in terms of special functions. We validate this results by numerically computing fourpoint functions in diagonal and nondiagonal minimal models, and verifying that crossing symmetry is satisfied. \par In addition, we build a proposal for a family of nondiagonal, nonrational conformal field theories for any central charges such that $\Re{c} < 13$. This proposal is motivated by taking limits of the spectrum of Dseries minimal models. We perform numerical computations of fourpoint functions in these theories, and find that they satisfy crossing symmetry. These theories may be understood as nondiagonal extensions of Liouville theory. \\ \\ (Sylvain Ribault, directeur de thèse ; Valentina Petkova, rapporteur ; Oleg Lisovyy, rapporteur ; Pascal Baseilhac, examinateur ; Raoul Santachiara, examinateur ; Yacine Ikhlef, examinateur.) 
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