Closure of the operator product expansion in the non-unitary bootstrap

• Published in: The journal of high energy physics Vol. 2016; no. 11; pp. 1 - 34
• Main Authors: Esterlis, Ilya, Fitzpatrick, A. Liam, Ramirez, David M.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2016; Springer Nature B.V; Springer Berlin
• Subjects: Classical and Quantum Gravitation; Conformal Field Theory; Coulomb friction; Elementary Particles; Field Theories in Lower Dimensions; Formalism; High energy physics; Mathematical analysis; Mathematical models; Matrices (mathematics); Matrix methods; Operators; Operators (mathematics); Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Field Theories in Lower Dimensions; Conformal Field Theory

A bstract We use the numerical conformal bootstrap in two dimensions to search for finite, closed sub-algebras of the operator product expansion (OPE), without assuming unitarity. We find the minimal models as special cases, as well as additional lines of solutions that can be understood in the Coul...