2019/09/30 by Sylvain Ribault
Mathematics · Physics and Astronomy · #Computer science #Geology #Limit (mathematics) #Markov Chains and Monte Carlo Methods #Mathematical analysis #Mathematical economics #Mathematics #Paleontology #Random Matrices and Applications #Series (stratigraphy) #advanced mathematical theories #hep-th #math-ph #math.MP
paper · pdf · doi:10.21468/scipostphyscore.3.1.002
published as SciPost Phys. Core 3, 002 (2020) · 27 pages, v4: Corrected global sign in Eq. (2.25)
arxiv created 2020/06/22 · openalex publication_date 2020/07/31 · arxiv updated 2020/10/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the limit of D-series minimal models when the central charge tends to a generic irrational value c∈ (-∞, 1) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mi>c</mml:mi> <mml:mo>∈</mml:mo> <mml:mo stretchy="false" form="prefix">(</mml:mo> <mml:mo>−</mml:mo> <mml:mi>∞</mml:mi> <mml:mo>,</mml:mo> <mml:mn>1</mml:mn> <mml:mo stretchy="false" form="postfix">)</mml:mo> </mml:mrow> </mml:math> . We find that the limit theory’s diagonal three-point structure constant differs from that of Liouville theory by a distribution factor, which is given by a divergent Verlinde formula. Nevertheless, correlation functions that involve both non-diagonal and diagonal fields are smooth functions of the diagonal fields’ conformal dimensions. The limit theory is a non-trivial example of a non-diagonal, non-rational, solved two-dimensional conformal field theory.