Interaction of Discrete States in Two-Dimensional String Theory

Abstract

We study the couplings of discrete states that appear in the string theory embedded in two dimensions, and show that they are given by the structure constants of the group of area preserving diffeomorphisms. We propose an effective action for these states, which is itself invariant under this infinite-dimensional group.

12 pages

Cited by in corpus (106)

• W-symmetry in Conformal Field Theory
• String Theory Modifies Quantum Mechanics
• Exact Solution of a Boundary Conformal Field Theory
• Algebraic Structures and Differential Geometry in 2D String Theory
• Coupling of Rolling Tachyon to Closed Strings
• Self-tuning vacuum variable and cosmological constant
• Two dimensional black-hole as a topological coset model of c=1 string theory
• Extended N=2 Superconformal Structure of Gravity and W-Gravity Coupled to Matter
• The partition function of 2d string theory
• Testing Quantum Mechanics in the Neutral Kaon System
• Exact C=1 Boundary Conformal Field Theories
• Topological Landau-Ginzburg Formulation and Integrable Structure of 2d String Theory
• Solving all 4-point correlation functions for bosonic open string theory in the high energy limit
• Classical Scattering in $1+1$ Dimensional String Theory
• Topological kinematic constraints: quantum dislocations and the glide principle
• Exceptional boundary states at c=1
• High-energy zero-norm states and symmetries of string theory
• $G/G$--Topological Field Theories by Cosetting $G_k$
• A BRST Operator for non-critical W-Strings
• Higher Genus Correlators from the Hermitian One-Matrix Model
• Discrete Gauge States and$w_{\infty }$ Charges in c=1 2d Gravity
• Non-Rational 2D Quantum Gravity: I. World Sheet CFT
• The Master Equation of 2D String Theory
• Bosonization of current-current interactions
• Anatomy of Zero-norm States in String Theory
• Boundary Ground Ring in 2D String Theory
• Exactly Marginal Operators and Running Coupling Constants in 2D Gravity
• String Theory, Black Holes, and SL(2,R) Current Algebra
• High Energy Scattering Amplitudes of Superstring Theory
• Charge screening in the Higgs phase of Chern-Simons electrodynamics
• Algebraic Structures and Eigenstates for Integrable Collective Field Theories
• Extended Toda lattice hierarchy, extended two-matrix model and c=1 string theory
• $W_{\infty} Algebra in Two-Dimensional Black Hole
• Black hole formation in $c=1$ String Field Theory
• SO(2,C) invariant ring structure of BRST cohomology and singular vectors in 2D gravity with c < 1 matter
• Free Fields and Quasi-Finite Representation of $W_{1+\infty }$ Algebra
• Gauge Symmetry in Background Charge Conformal Field Theory
• Symmetries and Special States in Two Dimensional String Theory
• Measuring the $W$-hair of String Black Holes
• The Origin of Space-Time as $W$ Symmetry Breaking in String Theory
• A Stringy Wave Function for an S^3 Cosmology
• Scattering of Open and Closed Strings in 1+1 Dimensions
• Correlation functions from two-dimensional string Ward identities
• Two Dimensional String Theory and the Topological Torus
• Critical Boundary Sine-Gordon Revisited
• Symmetries, Conserved Charges and (Black) Holes in Two Dimensional String Theory
• Kleinian Singularities and the Ground Ring of C=1 String Theory
• A Note on c=1 Virasoro Boundary States and Asymmetric Shift Orbifolds
• A matrix model black hole: act II
• Interacting Theory of Collective and Topological Fields in 2 Dimensions
• An Infinite Dimensional Symmetry Algebra in String Theory
• ${\mathbf{W}}_{\infty }$ Gravity - a Geometric Approach
• Gauge Symmetries of the N=2 String
• On the construction of the correlation numbers in Minimal Liouville Gravity
• $W_{\infty }$ Algebras, Hawking Radiation and Information Retention by Stringy Black Holes
• Induced $W_{\infty }$ Gravity as a WZNW Model
• One-loop Evolution of a Rolling Tachyon
• BRST Properties of New Superstring States
• Extra States and Symmetries in D<2 Closed String Theory
• Topological string in harmonic space and correlation functions in $S^3$ stringy cosmology
• BRST Analysis of Physical States in Two-Dimensional Black Hole
• Linear relations among 4-point functions in the high energy limit of string theory
• c=1 Liouville Theory Perturbed by the Black-Hole Mass operator
• Renormalization group flows and continual Lie algebras
• Spacetime Diffeomorphisms and Topological W-Infinity Symmetry in Two Dimensional Topological String Theory
• Ghost Cohomologies and Hidden Space-Time Symmetries
• W_\infty and w_\infty Gauge Theories and Contraction
• Discrete States in Light-Like Linear Dilaton Background
• Discrete States of 2D String Theory in Polyakov's Light-Cone Gauge
• Solutions in Bosonic String Field Theory and Higher Spin Algebras in AdS
• Four-point function in Super Liouville Gravity
• Ward Identities of $W_{\infty }$ Symmetry in Liouville Theory coupled to $c_M<1$ Matter
• c=1 Boundary Conformal Field Theory Revisited
• Topological gravity with exchange algebra
• Scattering States and Symmetries in the Matrix Model and Two Dimensional String Theory
• Currents in Celestial CFT
• 4D black holes and holomorphic factorization of the 0A matrix model
• On touching random surfaces, two-dimensional quantum gravity and non-critical string theory
• Novel Symmetries in Axion-Dilaton Cosmology
• $(1,q=-1)$ Model as a Topological Description of $2d$ String Theory
• Perturbation Theory in Two Dimensional Open String Field Theory
• Correlation functions in a c=1 boundary conformal field theory
• New Superstring Isometries and Hidden Dimensions
• Physical States, Factorization and Nonlinear Structures in Two Dimensional Quantum Gravity
• On String Field Theory and Effective Actions
• The spectrum of the 2D Black Hole, or Does the 2D black hole have tachyonic or W--hair?
• Gauge Transformations in String Field Theory and canonical Transformation in String Theory
• Scattering of Discrete States in Two Dimensional Open String Field Theory
• BRST Cohomology Ring in ${\hat{c}}_M<1$ NSR String Theory
• PP-waves from rotating and continuously distributed D3-branes
• c=1 discrete states correlators via W${}_{1+\infty }$ constraints
• Trivial Spectrum of Free 1+1 Light-Cone Strings
• The String Universe: High $T_c$ Superconductor or Quantum Hall Conductor?
• Coupling of Tachyons and Discrete States in $c=1$ 2-D Gravity
• New Discrete States in Two-Dimensional Supergravity
• Partition Functions, Duality, and the Tube Metric
• The Complete Structure of the Cohomology Ring and Associated Symmetries in $D=2$ String Theory
• Higher spin constraints and the super $(W_{\frac{\infty }{2}}\oplus W_{\frac{1+\infty }{2}})$ algebra in the super eigenvalue model
• New analytic solutions in String Field Theory: towards collective Higher Spin vacuum
• c = 1 Two Dimensional Quantum Gravity
• On construction of correlation numbers in super Minimal Liouville Gravity in the Ramond sector
• Recursion Relations in Liouville Gravity coupled to Ising Model satisfying Fusion Rules
• Ward Identities of W_{\infty} Symmetry and Higher Genus Amplitudes in 2D String Theory
• On the equivalence of fermionic string to bosonic string in two dimensions
• Perturbative Calculations in the Effective Lagrangian and $2D$ Closed String Field Theory
• A Note on Tachyon Moduli and Closed Strings