The ZZ annulus one-point function in non-critical string theory: A string field theory analysis

Abstract

We compute the ZZ annulus one-point function of the cosmological constant operator in non-critical string theory, regulating divergences from the boundaries of moduli space using string field theory. We identify a subtle issue in a previous analysis of these divergences, which was done in the context of the $c=1$ string theory, and where it had led to a mismatch with the prediction from the dual matrix quantum mechanics. After fixing this issue, we find a precise match to the expected answer in both the $c<1$ and $c=1$ cases. We also compute the disk two-point function, which is a quantity of the same order, and show that it too matches with the general prediction.

Resolves an apparent mismatch between matrix quantum mechanics and c=1 string theory predictions found earlier. 36 pages, 6 figures

References in corpus (3)

• On Correlation Numbers in 2D Minimal Gravity and Matrix Models
• Multi-instantons in minimal string theory and in matrix integrals
• Five-point correlation numbers in minimal Liouville gravity and matrix models

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• Instantons in sine-Liouville theory
• The complex Liouville string: worldsheet boundaries and non-perturbative effects
• Hypermultiplet metric and NS5-instantons
• Ensemble averaging in JT gravity from entanglement in Matrix Quantum Mechanics
• Multi-instantons in 2d string theory