The linear property of genus-g, n-point, b-boundary, c-crosscap correlation functions in two-dimensional conformal field theory

2023/09/14 by Xun Liu, Liu, Xun · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Block Copolymer Self-Assembly #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2309.07528

openalex publication_date 2023/09/14 · openalex created_date 2023/09/16 · openalex updated_date 2026/07/28

Abstract

We propose a method to challenge the calculation of genus-g, bulk n-point, b-boundary, c-crosscap correlation functions with x boundary operators F_g,n,b,c^x in two-dimensional conformal field theories (CFT₂). We show that F_g,n,b,c^x are infinite linear combinations of genus-g, bulk (n+b+c)-point functions F_g,(n+b+c), and try to obtain the linear coefficients in this work. We show the existence of a single pole structure in the linear coefficients at degenerate limits. A practical method to obtain the infinite linear coefficients is the free field realizations of Ishibashi states. We review the results in Virasoro minimal models M(p,p') and extend it to the N=1 minimal models SM(p,p').

Cited by

• Free-field approaches to boundary W [ \widehatg ] (p,p') minimal models

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