Braiding and fusion properties of the Neveu-Schwarz super-conformal blocks

2008/11/07 by Damian Chorazkiewicz, Damian Chorążkiewicz, Leszek Hadasz
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Field (mathematics) #Fusion #Fusion rules #Image fusion #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Philosophy #Physics #Primary field #Pure mathematics #hep-th

paper · pdf · doi:10.1088/1126-6708/2009/01/007

published as JHEP 0901:007,2009 · 41 pages, 3 eps figures

arxiv created 2008/11/07 · openalex publication_date 2009/01/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We construct, generalizing appropriately the method applied by J. Teschner in the case of the Virasoro conformal blocks, the braiding and fusion matrices of the Neveu-Schwarz super-conformal blocks. Their properties allow for an explicit verification of the bootstrap equation in the NS sector of the N=1 supersymmetric Liouville field theory.

Citations

• Liouville bootstrap via harmonic analysis on a noncompact quantum group
• Structure constants of the OSP(1|2) WZNW model
• Three-point correlation functions in N = 1 super Liouville theory
• Infinite conformal symmetry in two-dimensional quantum field theory
• Quantum geometry of bosonic strings
• Conformal symmetry in two-dimensional space: Recursion representation of conformal block
• Classical and quantum conformal field theory
• Remarks on Liouville theory with boundary

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