Loops versus Matrices - The nonperturbative aspects of noncritical string

Abstract

The nonperturbative aspects of string theory are explored for non-critical string in two distinct formulations: loop equations and matrix models. The effects corresponding to D-brane in these formulations are especially investigated in detail. It is shown that matrix models can universally yield a definite value of the chemical potential for an instanton while loop equations can not. This implies that string theory may not be nonperturbatively formulated solely in terms of closed strings.

58 pages, 3 figures, PTPTeX, published version

References in corpus (12)

• A Possible Resolution of the Black Hole Information Puzzle
• String Field Theory of Noncritical Strings
• Eigenvalue distribution of large random matrices, from one matrix to several coupled matrices
• Loop Gas Model for Open Strings
• Loop Space Hamiltonians And Field Theory Of Non-Critical Strings
• Nonperturbative Effects in Noncritical Strings with Soliton Backgrounds
• Large Order Behaviour of 2D Gravity Coupled to $d<1$ Matter
• Collective field theory of the matrix-vector model
• Matrix Models and One Dimensional Open String Theory (Revised)
• LOOP SPACE HAMILTONIAN FOR $c\le 1$ OPEN STRINGS
• Temporal-gauge String Field with Open Strings
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Cited by in corpus (43)

• Lectures on non-perturbative effects in large N gauge theories, matrix models and strings
• Borel and Stokes Nonperturbative Phenomena in Topological String Theory and c=1 Matrix Models
• Nonperturbative effects and nonperturbative definitions in matrix models and topological strings
• Exact vs. Semiclassical Target Space of the Minimal String
• Multi-Instantons and Multi-Cuts
• Minimal String Theory
• Annulus Amplitudes and ZZ Branes in Minimal String Theory
• Multi-instantons in minimal string theory and in matrix integrals
• Notes on Matrix Models
• Normalization of ZZ instanton amplitudes in minimal string theory
• Sine-Square Deformation and its Relevance to String Theory
• Non-Perturbative Quantum Geometry II
• Universality of Nonperturbative Effect in Type 0 String Theory
• On the Chemical Potential of D-instantons in c=0 Noncritical String Theory
• Boundary condition for D-brane from Wilson loop, and gravitational interpretation of eigenvalue in matrix model in AdS/CFT correspondence
• Comments on the D-instanton calculus in (p,p+1) minimal string theory
• Universality of Nonperturbative Effects in c<1 Noncritical String Theory
• Stokes Phenomena and Non-perturbative Completion in the Multi-cut Two-matrix Models
• Minimal Superstrings and Loop Gas Models
• Notes on the algebraic curves in (p,q) minimal string theory
• Nonperturbative Effect in c=1 Noncritical String Theory and Penner Model
• Stokes Phenomena and Quantum Integrability in Non-critical String/M Theory
• Instantons in c=0 CSFT
• Parametric dependence of irregular conformal block
• T-duality of ZZ-brane
• SUSY breaking by nonperturbative dynamics in a matrix model for 2D type IIA superstrings
• ZZ brane amplitudes from matrix models
• c=1 from c<1: Bulk and boundary correlators
• One-point functions of non-SUSY operators at arbitrary genus in a matrix model for type IIA superstrings
• D-brane States and Disk Amplitudes in OSp Invariant Closed String Field Theory
• Semi-Classical Mechanics in Phase Space: The Quantum Target of Minimal Strings
• Monte Carlo approach to nonperturbative strings -- demonstration in noncritical string theory
• D-branes and Closed String Field Theory
• Analytic Study for the String Theory Landscapes via Matrix Models
• Resurgence of one-point functions in a matrix model for 2D type IIA superstrings
• Two-point functions at arbitrary genus and its resurgence structure in a matrix model for 2D type IIA superstrings
• Matrix Model For Polyakov Loops, String Field Theory In The Temporal Gauge, Winding String Condensation In Anti-de Sitter Space And Field Theory Of D-branes
• Observables and Correlation Functions in OSp Invariant String Field Theory
• A Matrix model from string field theory
• D-branes and Closed String Field Theory
• Branched polymers with loops coupled to the critical Ising model
• Wronskians, dualities and FZZT-Cardy branes
• An Exact Bosonization Rule for c=1 Noncritical String Theory