The complex Liouville string: worldsheet boundaries and non-perturbative effects
arXiv:2410.09179 · doi:10.21468/SciPostPhys.19.2.034
Abstract
We investigate general observables of the complex Liouville string with worldsheet boundaries. We develop a universal formalism that reduces such observables to ordinary closed string amplitudes without boundaries, applicable to any worldsheet string theory, but particularly simple in the context of 2d or minimal string theories. We apply this formalism to the duality of the complex Liouville string with the matrix integral proposed in arXiv:2409.18759 and arXiv:2410.07345 and showcase the formalism by finding appropriate boundary conditions for various matrix model quantities of interest, such as the resolvent or the partition function. We also apply this formalism towards the computation of non-perturbative effects on the worldsheet mediated by ZZ-instantons. These are known to be plagued by extra subtleties which need input from string field theory to resolve. These computations probe and uncover the duality between the complex Liouville string and the matrix model at the non-perturbative level.
47 pages + appendices
References in corpus (56)
- Solving the Schwarzian via the Conformal Bootstrap
- Branes, Rings and Matrix Models in Minimal (Super)string Theory
- Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
- Classical gauge instantons from open strings
- Free energy topological expansion for the 2-matrix model
- Liouville quantum gravity -- holography, JT and matrices
- Asymptotics of the instantons of Painleve I
- Large N expansion of the 2-matrix model
- Long strings in two dimensional string theory and non-singlets in the matrix model
- Resurgent Transseries and the Holomorphic Anomaly: Nonperturbative Closed Strings in Local CP2
- Ghost D-branes
- Explorations of Non-Perturbative JT Gravity and Supergravity
- The Virasoro Minimal String
- Minimal String Theory
- JT Supergravity, Minimal Strings, and Matrix Models
- Boundary Liouville Theory and 2D Quantum Gravity
- Looking at supersymmetric black holes for a very long time
- Annulus Amplitudes and ZZ Branes in Minimal String Theory
- Boundary Correlators in 2D Quantum Gravity: Liouville versus Discrete Approach
- Normalization of D-instanton Amplitudes
- Holography for people with no time
- D-instantons, String Field Theory and Two Dimensional String Theory
- Multibrane Solutions in Open String Field Theory
- Fixing an Ambiguity in Two Dimensional String Theory Using String Field Theory
- Normalization of Type IIB D-instanton Amplitudes
- Multi-instantons in minimal string theory and in matrix integrals
- D-instanton Perturbation Theory
- Free Energy of the Two-Matrix Model/dToda Tau-Function
- D-instantons in Type IIA string theory on Calabi-Yau threefolds
- Invariants of algebraic curves and topological expansion
- Euclidean D-branes in Type IIB string theory on Calabi-Yau threefolds
- Normalization of ZZ instanton amplitudes in minimal string theory
- Muti-instanton Amplitudes in Type IIB String Theory
- D-instanton Induced Superpotential
- The ZZ annulus one-point function in non-critical string theory: A string field theory analysis
- Exact multi-instantons in topological string theory
- Normalization of D instanton amplitudes in two dimensional type 0B string theory
- A microscopic realization of dS
- Minimal Open Strings
- Divergent to Complex Amplitudes in Two Dimensional String Theory
- Long String Scattering in c = 1 String Theory
- Cutkosky Rules and Unitarity (Violation) in D-instanton Amplitudes
- Universality of Nonperturbative Effects in c<1 Noncritical String Theory
- New Instantons for Matrix Models
- The complex Liouville string: the matrix integral
- The complex Liouville string: the worldsheet
- ZZ Instantons and the Non-Perturbative Dual of c = 1 String Theory
- Infrared finite semi-inclusive cross section in two dimensional type 0B string theory
- D-instanton Effects in Type IIB String Theory
- The S-Matrix of 2D Type 0B String Theory Part 2: D-Instanton Effects
- Multi-Instanton Calculus in c = 1 String Theory
- Notes on crossing transformations of Virasoro conformal blocks
- Instantons in sine-Liouville theory
- All the D-Branes of Resurgence
- Complex eigenvalue instantons and the Fredholm determinant expansion in the Gross-Witten-Wadia model
- Resurgent Asymptotics of Jackiw-Teitelboim Gravity and the Nonperturbative Topological Recursion