Conformal bootstrap in two-dimensional conformal field theories with non-diagonal spectrums
Migliaccio S. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
Abstract: Abstract In this thesis we study two-dimensional 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 non-diagonal 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 four-point functions in diagonal and non-diagonal minimal models, and verifying that crossing symmetry is satisfied. In addition, we build a proposal for a family of non-diagonal, non-rational conformal field theories for any central charges such thatAnnée de publication : 2018 Soutenance de thèse : Conformal bootstrap in two-dimensional conformal field theories with non-diagonal spectrums ; ; 2018-10-08 / 2018-10-08 Langue : Anglais
