Boundary correlators in 2D quantum gravity: Liouville versus discrete approach

2002/12/31 by Ivan K. Kostov, Ivan Kostov · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum many-body systems #hep-th

paper · pdf · doi:10.1016/s0550-3213(03)00147-0

published as Nucl.Phys. B658 (2003) 397-416 · 21 pages, 5 figures, harvmac, eqs. (2.11) and (5.11) corrected

arxiv created 2003/01/15 · openalex publication_date 2003/04/25 · arxiv updated 2010/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We calculate a class of two-point boundary correlators in 2D quantum gravity using its microscopic realization as loop gas on a random surface. We find a perfect agreement with the two-point boundary correlation function in Liouville theory, obtained by V. Fateev, A. Zamolodchikov and Al. Zamolodchikov. We also give a geometrical meaning of the functional equation satisfied by this two-point function.

Citations

• Strings with discrete target space
• FRACTAL STRUCTURE OF 2d—QUANTUM GRAVITY
• Gauge invariant matrix model for the Â-D-Ê closed strings
• Loop gas model for open strings
• Quantum geometry of bosonic strings
• Boundary Liouville Field Theory I. Boundary State and Boundary Two-point Function

Cited by

• Master loop equations, free energy and correlations for the chain of matrices