A paradigm of open/closed duality: Liouville D-branes and the Kontsevich model

Abstract

We argue that topological matrix models (matrix models of the Kontsevich type) are examples of exact open/closed duality. The duality works at finite N and for generic `t Hooft couplings. We consider in detail the paradigm of the Kontsevich model for two-dimensional topological gravity. We demonstrate that the Kontsevich model arises by topological localization of cubic open string field theory on N stable branes. Our analysis is based on standard worldsheet methods in the context of non-critical bosonic string theory. The stable branes have Neumann (FZZT) boundary conditions in the Liouville direction. Several generalizations are possible.

v2: References added; a new section with generalization to non-zero bulk cosmological constant; expanded discussion on topological localization; added some comments

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Cited by in corpus (76)

• Liouville Field Theory -- A decade after the revolution
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• From Free Fields to $AdS$ -- III
• Superpotentials, A-infinity Relations and WDVV Equations for Open Topological Strings
• Late time physics of holographic quantum chaos
• Brane Partons and Singleton Strings
• JT gravity, KdV equations and macroscopic loop operators
• Minimal String Theory
• Eigenvalue tunnelling and decay of quenched random networks
• Simplifying and Extending the AdS_5xS^5 Pure Spinor Formalism
• Tree-level amplitudes from the pure spinor superstring
• Renormalization of the noncommutative phi^3 model through the Kontsevich model
• Wormholes without averaging
• From operator statistics to wormholes
• Boundary State from Ellwood Invariants
• High Energy Scattering in the AdS/CFT Correspondence
• An integrable road to a perturbative plateau
• Towards a Finite-$N$ Hologram
• FZZT branes in JT gravity and topological gravity
• Free Field Theory as a String Theory?
• Rolling Tachyon Solution in Vacuum String Field Theory
• Open-closed Hyperbolic String Vertices
• Comments on worldsheet theories dual to free large N gauge theories
• The Large N Harmonic Oscillator as a String Theory
• A universe field theory for JT gravity
• What is the Simplest Gauge-String Duality?
• A New Limit of the AdS_5 x S^5 Sigma Model
• On a worldsheet dual of the Gaussian matrix model
• Differential Cohomotopy implies intersecting brane observables via configuration spaces and chord diagrams
• Superstrings on AdS_2 and Superconformal Matrix Quantum Mechanics
• From Free Fields to AdS -- Thermal Case
• Summing over all Topologies in CDT String Field Theory
• BMS field theory and holography in asymptotically flat space-times
• c=1 Matrix Model from String Field Theory
• Complex matrix model duality
• Comments on the D-instanton calculus in (p,p+1) minimal string theory
• A nontrivial solvable noncommutative ϕ^3 model in 4 dimensions
• From effective actions to the background geometry
• Comments on the Quantum Field Theory of the Coulomb Gas Formalism
• Intersection numbers of Riemann surfaces from Gaussian matrix models
• Notes on the algebraic curves in (p,q) minimal string theory
• D-Brane Amplitudes in Topological String on Conifold
• c=1 Matrix Models: Equivalences and Open-Closed String Duality
• Long strings condensation and FZZT branes
• Notes On The S-Matrix Of Bosonic And Topological Non-Critical Strings
• Liouville D-branes in Two-Dimensional Strings and Open String Field Theory
• Gauge-invariant operators of open bosonic string field theory in the low-energy limit
• String Field Theory
• Computing topological invariants with one and two-matrix models
• The Coupling of Chern-Simons Theory to Topological Gravity
• On the Connection between N=2 Minimal String and (1,n) Bosonic Minimal String
• Classical and Quantum Branes in c=1 String Theory and Quantum Hall Effect
• The Kontsevich Connection on the Moduli Space of FZZT Liouville Branes
• From Matrices to Strings and Back
• c=1 from c<1: Bulk and boundary correlators
• Macroscopic loop amplitudes in the multi-cut two-matrix models
• Semi-Classical Mechanics in Phase Space: The Quantum Target of Minimal Strings
• Triangulated Surfaces in Twistor Space: A Kinematical Set up for Open/Closed String Duality
• On Tachyon condensation and open-closed duality in the c=1 string theory
• Note on a duality of topological branes
• Nonperturbative definition of closed string theory via open string field theory
• Noncritical String Correlators, Finite-N Matrix Models and the Vortex Condensate
• Fractional-Superstring Amplitudes, Multi-Cut Matrix Models and Non-Critical M Theory
• Holgraphy and BMS field theory
• Towards a String Dual of SYK
• Open/closed duality for FZZT branes in c=1
• From random Regge triangulations to open strings
• Riemann Hypothesis, Matrix/Gravity Correspondence and FZZT Brane Partition Functions
• General Formalism For the BRST Symmetry
• Boundary Conformal Field Theory and Ribbon Graphs: a tool for open/closed string dualities
• A Matrix model from string field theory
• Riemann Hypothesis and Master Matrix for FZZT Brane Partition Functions
• Quantum chaos in 2D gravity
• Topological Open/Closed String Dualities: Matrix Models and Wave Functions
• BCFT and Ribbon Graphs as tools for open/closed string dualities
• Topological Two-Dimensional Gravity on Surfaces with Boundary