The complex Liouville string: the gravitational path integral

Abstract

We give a rigorous definition of sine dilaton gravity in terms of the worldsheet theory of the complex Liouville string arXiv:2409.17246. The latter has a known exact solution that we leverage to explore the gravitational path integral of sine dilaton gravity - a quantum deformation of dS JT gravity that admits both AdS${}_2$ and dS${}_2$ vacua. We uncover that the gravitational path integral receives contributions from new saddles describing transitions between vacua in a third-quantized picture. We also discuss the sphere and disk partition function in this context and contrast our findings with other recent work on this theory.

arXiv comment26 pages

References in corpus (55)

• Structure Constants and Conformal Bootstrap in Liouville Field Theory
• Two and three-point functions in Liouville theory
• Transcending the ensemble: baby universes, spacetime wormholes, and the order and disorder of black hole information
• The Worldsheet Dual of the Symmetric Product CFT
• On the Liouville three-point function
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 3: Correlation Functions
• Towards a full solution of the large N double-scaled SYK model
• Bra-ket wormholes in gravitationally prepared states
• Observables for Two-Dimensional Black Holes
• The bulk Hilbert space of double scaled SYK
• Low-dimensional de Sitter quantum gravity
• Liouville quantum gravity -- holography, JT and matrices
• Infrared Realization of dS${}_2$ in AdS${}_2$
• Universal Dynamics of Heavy Operators in CFT${}_2$
• A symmetry algebra in double-scaled SYK
• The Virasoro Minimal String
• Classifying boundary conditions in JT gravity: from energy-branes to $\alpha$-branes
• Two Dimensional Kodaira-Spencer Theory and Three Dimensional Chern-Simons Gravity
• Two-Point String Amplitudes
• Dynamical actions and q-representation theory for double-scaled SYK
• Bootstrapping the Spectral Function: On the Uniqueness of Liouville and the Universality of BTZ
• Constructing AdS_2 flow geometries
• Sphere and disk partition functions in Liouville and in matrix integrals
• Deformations of JT Gravity and Phase Transitions
• A universe field theory for JT gravity
• Alpha states demystified: Towards microscopic models of AdS${}_2$ holography
• Two dimensional Nearly de Sitter gravity
• Interpolating geometries and the stretched dS${}_2$ horizon
• A microscopic realization of dS${}_3$
• JT Gravity in de Sitter Space and the Problem of Time
• Matrix integrals $\&$ finite holography
• The dilaton gravity hologram of double-scaled SYK
• dS${}_2$ Supergravity
• From Liouville Theory to the Quantum Geometry of Riemann Surfaces
• The complex Liouville string: the matrix integral
• The complex Liouville string: the worldsheet
• Higher Spin de Sitter Hilbert Space
• Double-scaled SYK and de Sitter Holography
• The complex Liouville string
• Scrambling in Double-Scaled SYK and De Sitter Space
• The complex Liouville string: worldsheet boundaries and non-perturbative effects
• Double-scaled SYK, Chords and de Sitter Gravity
• The q-Schwarzian and Liouville gravity
• The two-sphere partition function in two-dimensional quantum gravity at fixed area
• SYK Correlators from 2D Liouville-de Sitter Gravity
• The two-sphere partition function in two-dimensional quantum gravity
• Non-perturbative de Sitter Jackiw-Teitelboim gravity
• The c=1 String Theory S-Matrix Revisited
• Quantum groups, non-commutative $Ad{S}_2$, and chords in the double-scaled SYK model
• An entropic puzzle in periodic dilaton gravity and DSSYK
• The two-sphere partition function from timelike Liouville theory at three-loop order
• Remarks on 2D quantum cosmology
• Discrete analogue of the Weil-Petersson volume in double scaled SYK
• Deforming the Double Liouville String
• Isometric evolution in de Sitter quantum gravity

Cited by in corpus (2)

• Asymptotic safety, quantum gravity, and the swampland: a conceptual assessment
• JT de Sitter Gravity as a Model of Coleman-de Luccia Tunneling