String Field Theory of $c\le 1$ Noncritical Strings

Abstract

We construct a string field Hamiltonian for a noncritical string theory with the continuum limit of the Ising model or its generalization as the matter theory on the worldsheet. It consists of only three string vertices as in the case for $c=0$. We also discuss a general consistency condition that should be satisfied by this kind of string field Hamiltonian.

17 pages, LaTex file, KEK-TH-378

References in corpus (2)

• Transfer Matrix Formalism for Two-Dimensional Quantum Gravity and Fractal Structures of Space-time
• String Field Theory of Noncritical Strings

Cited by in corpus (50)

• Non-perturbative Lorentzian Quantum Gravity, Causality and Topology Change
• On the fractal structure of two-dimensional quantum gravity
• Construction of Non-critical String Field Theory by Transfer Matrix Formalism in Dynamical Triangulation
• The spectral dimension of the branched polymers phase of two-dimensional quantum gravity
• A String Field Theory based on Causal Dynamical Triangulations
• 2d CDT is 2d Horava-Lifshitz quantum gravity
• Integrable 2D Lorentzian Gravity and Random Walks
• A Matrix Model for 2D Quantum Gravity defined by Causal Dynamical Triangulations
• Quantum gravity as sum over spacetimes
• Quantum geometry of 2d gravity coupled to unitary matter
• Collective String Field Theory of Matrix Models in the BMN Limit
• Geometrical Interpretation of the KPZ Exponents
• String Field Theory in the Temporal Gauge
• Stochastic quantization and the role of time in quantum gravity
• Trees and spatial topology change in CDT
• The quantum space-time of c=-2 gravity
• Summing over all Topologies in CDT String Field Theory
• A Background Independent Formulation of Noncritical String Theory
• Quantum geometry of topological gravity
• Non-critical string field theory for 2d quantum gravity coupled to (p,q)--conformal fields
• Universality of Nonperturbative Effects in c<1 Noncritical String Theory
• On the Quantum Geometry of Multi-critical CDT
• The Two-point Function of c=-2 Matter Coupled to 2D Quantum Gravity
• LOOP SPACE HAMILTONIAN FOR $c\le 1$ OPEN STRINGS
• A geometric approach to free variable loop equations in discretized theories of 2D gravity
• Feynman rules for string field theories with discrete target space
• The Hausdorff Dimension of Surfaces in Two-Dimensional Quantum Gravity Coupled to Ising Minimal Matter
• Causal Dynamical Triangulation with Extended Interactions in 1+1 Dimensions
• A model for emergence of space and time
• Stochastic Hamiltonian for Non-Critical String Field Theories from Double-Scaled Matrix Models
• The toroidal Hausdorff dimension of 2d Euclidean quantum gravity
• Non-critical String Field Theory with Non-orientable String Interactions
• The Continuum Limit of the Schwinger-Dyson Equations of the One and Two Matrix Model with Finite Loop Length
• Temporal-gauge String Field with Open Strings
• Integrability of Schwinger-Dyson Equations in 2D Quantum Gravity and c < 1 Non-critical String Field Theory
• Holography for Tensor models
• The Quantum Spacetime of c>0 2d Gravity
• Semi-classical Dynamical Triangulations
• Baby universes in 2d and 4d theories of quantum gravity
• The F model on dynamical quadrangulations
• Stochastic Quantization Approach for Causal Dynamical Triangulation String Field Theory
• Large N Optimization for multi-matrix systems
• Intrinsic Geometric Structure of c=-2 Quantum Gravity
• Interaction of boundaries with heterogeneous matter states in matrix models
• Causal dynamical triangulation for non-critical open-closed string field theory
• Causal dynamical triangulation of a 3D tensor model
• CDT open-closed surface field theory of a 3D tensor-matrix model
• Loop Equations for + and - Loops in c = 1/2 Non-Critical String Theory
• Scaling and Quantum Geometry in 2d Gravity
• Branched polymers with loops coupled to the critical Ising model