Intersection Numbers of Twisted Cycles and the Correlation Functions of the Conformal Field Theory

2002/08/13 by Katsuhisa Mimachi, Masaaki Yoshida · 46 citations
Chemistry · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Conformal field theory #Conformal map #Correlation #Correlation function (quantum field theory) #Field (mathematics) #Geography #Geometry #Intersection (aeronautics) #Mathematical analysis #Mathematics #Molecular spectroscopy and chirality #Point (geometry) #Pure mathematics #Quantum chaos and dynamical systems #Statistics #math.AG #msc:33C70 #msc:81T40

paper · pdf · doi:10.1007/s00220-002-0766-4

published in Communications in Mathematical Physics 234(2), 339-358 (Springer Science+Business Media)

arxiv created 2002/08/13 · openalex publication_date 2003/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We evaluate the intersection numbers of loaded cycles and twisted forms associated with an n-fold Selberg-type integral. The result is deeply related with the geometry of the configuration space of n+3 points in the projective line.

Citations

• Current algebra and Wess-Zumino model in two dimensions
• Basic Hypergeometric Series
• Infinite conformal symmetry in two-dimensional quantum field theory
• ON THE COMPLEX SELBERG INTEGRAL

Cited by

• Combinatorics and topology of Kawai-Lewellen-Tye relations