Minimal string theory is logarithmic

2004/06/30 by Yukitaka Ishimoto, Shun-ichi Yamaguchi
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1016/j.physletb.2004.12.047

published as Phys.Lett. B607 (2005) 172-179 · Latex2e 13 pages; v.2: minor corrections, typos fixed

arxiv created 2004/12/24 · openalex publication_date 2004/12/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the simplest examples of minimal string theory whose worldsheet description is the unitary ( p , q ) minimal model coupled to two-dimensional gravity ( Liouville field theory). In the Liouville sector, we show that four-point correlation functions of ‘tachyons’ exhibit logarithmic singularities, and that the theory turns out to be logarithmic. The relation with Zamolodchikov's logarithmic degenerate fields is also discussed. Our result holds for generic values of ( p , q ) .

Citations

• Gravitationally Dressed Conformal Field Theory and Emergence of Logarithmic Operators
• Lectures on 2D gravity and 2D string theory (TASI 1992)
• Infinite conformal symmetry in two-dimensional quantum field theory

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