Constraints on flavored 2d CFT partition functions

• Published in: The journal of high energy physics Vol. 2018; no. 2; pp. 1 - 37
• Main Authors: Dyer, Ethan, Fitzpatrick, A. Liam, Xin, Yuan
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2018; Springer Nature B.V; Springer Berlin; SpringerOpen
• Subjects: Classical and Quantum Gravitation; Conformal and W Symmetry; Elementary Particles; Global Symmetries; High energy physics; Integers; Partitions; Physics; Physics and Astronomy; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Transformations (mathematics); Upper bounds; Global Symmetries; Conformal and W Symmetry

A bstract We study the implications of modular invariance on 2d CFT partition functions with abelian or non-abelian currents when chemical potentials for the charges are turned on, i.e. when the partition functions are “flavored”. We begin with a new proof of the transformation law for the modular t...