The Topological Matrix Model Of c=1 String

Abstract

We derive a Kontsevich-type matrix model for the c=1 string directly from the W-infinity solution of the theory. The model that we obtain is different from previous proposals, which are proven to be incorrect. Our matrix model contains the Penner and Kontsevich cases, and we study its quantum effective action. The simplicity of our model leads to an encouraging interpretation in the context of background-independent noncritical string field theory.

Uses harvmac, 18 pages(big) or 20 pages(little). Reference added

References in corpus (17)

• Holomorphic Anomalies in Topological Field Theories
• Combinatorics of the Modular Group II: the Kontsevich integrals
• Exact S-Matrix for 2D String Theory
• Two dimensional black-hole as a topological coset model of c=1 string theory
• Unification of All String Models with $c<1$
• The partition function of 2d string theory
• Polynomial averages in the Kontsevich model
• Unitary And Hermitian Matrices In An External Field II: The Kontsevich Model And Continuum Virasoro Constraints
• The Multicritical Kontsevich-Penner Model
• Gauge Theory Formulation of the $c=1$ Matrix Model: Symmetries and Discrete States
• Topological Landau-Ginzburg Formulation and Integrable Structure of 2d String Theory
• Classical Scattering in $1+1$ Dimensional String Theory
• A Hint on the External Field Problem for Matrix Models
• Topological Landau-Ginzburg Model of Two-Dimensional String Theory
• Topological 2D String Theory: Higher-genus Amplitudes and W-infinity Identities
• Bosonization of a Topological Coset Model and Non-Critical String Theory
• $(1,q=-1)$ Model as a Topological Description of $2d$ String Theory

Cited by in corpus (32)

• Topological Strings and Integrable Hierarchies
• Liouville Field Theory -- A decade after the revolution
• Les Houches lectures on matrix models and topological strings
• A paradigm of open/closed duality: Liouville D-branes and the Kontsevich model
• Supersymmetric Gauge Theories, Intersecting Branes and Free Fermions
• Quantum Curves and D-Modules
• 2D String Theory as Normal Matrix Model
• Topological Matrix Models, Liouville Matrix Model and c=1 String Theory
• Boundary Ground Ring in 2D String Theory
• String Equation for String Theory on a Circle
• Complex matrix model duality
• Integrable flows in c=1 string theory
• Topological B-Model, Matrix Models, $\hat{c}=1$ Strings and Quiver Gauge Theories
• From effective actions to the background geometry
• c=1 Matrix Models: Equivalences and Open-Closed String Duality
• On an Airy matrix model with a logarithmic potential
• Liouville D-branes in Two-Dimensional Strings and Open String Field Theory
• Computing topological invariants with one and two-matrix models
• Topological B-model and $\hat{c}=1$ String Theory
• New critical behavior in a supersymmetric double-well matrix model
• Supersymmetric double-well matrix model as two-dimensional type IIA superstring on RR background
• The Kontsevich Connection on the Moduli Space of FZZT Liouville Branes
• Instantons in sine-Liouville theory
• Instanton Counting and Matrix Model
• c=1 from c<1: Bulk and boundary correlators
• Refined Cigar and Omega-deformed Conifold
• Noncritical String Correlators, Finite-N Matrix Models and the Vortex Condensate
• Open/closed duality for FZZT branes in c=1
• Riemann Hypothesis, Matrix/Gravity Correspondence and FZZT Brane Partition Functions
• Notes on a singular Landau-Ginzburg family
• Noncritical-Topological Correspondence: Disc Amplitudes and Noncompact Branes
• Remarks on tree-level topological string theories