Modular invariance and uniqueness of conformal characters

1994/07/14 by Wolfgang Eholzer, Nils-Peter Skoruppa · 2 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Central charge #Conformal field theory #Conformal map #Conformal symmetry #Field (mathematics) #Homotopy and Cohomology in Algebraic Topology #Modular design #Modular invariance #Primary field #Uniqueness #hep-th

paper · pdf · doi:10.1007/bf02099466

published as Commun.Math.Phys. 174 (1995) 117-136 · 21 pages (AMS TeX), BONN-TH-94-16, MPI-94-67

arxiv created 1994/07/14 · openalex publication_date 1995/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We show that the conformal characters of various rational models of W-algebras can be already uniquely determined if one merely knows the central charge and the conformal dimensions. As a side result we develop several tools for studying representations of SL(2,Z) on spaces of modular functions. These methods, applied here only to certain rational conformal field theories, may be useful for the analysis of many others.

Citations

• PATH SPACES AND \mathcal W FUSION IN MINIMAL MODELS
• Quantum field theory and the Jones polynomial
• Infinite conformal symmetry in two-dimensional quantum field theory
• W-symmetry in Conformal Field Theory

Cited by

• Galois currents and the projective kernel in rational conformal field theory
• Holomorphic modular bootstrap revisited