BRST Analysis of Physical States for 2D (Super) Gravity Coupled to (Super) Conformal Matter

Abstract

We summarize some recent results on the BRST analysis of physical states of 2D gravity coupled to c<=1 conformal matter and the supersymmetric generalization.

11 pages

References in corpus (1)

• Fock space resolutions of the Virasoro highest weight modules with c<=1

Cited by in corpus (84)

• Liouville Field Theory -- A decade after the revolution
• Antibracket, Antifields and Gauge-Theory Quantization
• Algebraic Structures and Differential Geometry in 2D String Theory
• New Perspectives on the BRST-algebraic Structure of String Theory
• 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
• Higher Equations of Motion in Liouville Field Theory
• Dispersionless Toda hierarchy and two-dimensional string theory
• Topological Open P-Branes
• Functional Schroedinger and BRST Quantization of (1+1)--Dimensional Gravity
• String Field Theory -- A Modern Introduction
• Topological Landau-Ginzburg Formulation and Integrable Structure of 2d String Theory
• Classical Scattering in $1+1$ Dimensional String Theory
• Exact Operator Quantization of a Model of Two-Dimensional Dilaton Gravity
• The BRST formulation of G/H WZNW models
• Sequencing BPS Spectra
• Topological Landau-Ginzburg Model of Two-Dimensional String Theory
• The Master Equation of 2D String Theory
• D-branes in a Big Bang/Big Crunch Universe: Misner Space
• Topological Open Membranes
• Observations On The Moduli Space Of Two Dimensional String Theory
• Quantum Gravity from Timelike Liouville theory
• Ground ring for the 2D NSR string
• BRST Quantization of String Theory in AdS(3)
• Modeling Quantum Gravity Effects in Inflation
• The Cap in the Hat: Unoriented 2D Strings and Matrix(-Vector) Models
• Characters of admissible representations of the affine superalgebra sl(2|1)
• $W_{\infty} Algebra in Two-Dimensional Black Hole
• Modules Over Affine Lie Superalgebras
• Kleinian Singularities and the Ground Ring of C=1 String Theory
• Free field representations for the affine superalgebra sl(2|1)
• The Complete Cohomology of the W3 String
• Critical and non-critical W_{2,4} strings
• Chiral Rings and Physical States in c<1 String Theory
• The Multivalued Free-Field Maps of Liouville and Toda Gravities
• Semi-infinite cohomology of W-algebras
• Matrix Models and 2D String Theory
• BRST Analysis of Physical Fields and States for 4D Quantum Gravity on R x S^3
• The no-ghost theorem for string theory in curved backgrounds with a flat timelike direction
• FZZ Algebra
• BRST Analysis of Physical States in Two-Dimensional Black Hole
• States of non-zero ghost number in $c<1$ matter coupled to 2d gravity
• First Quantized Noncritical Relativistic Polyakov String
• Space-time Geometry in Exactly Solvable Quantum Dilaton Gravity
• c=1 Liouville Theory Perturbed by the Black-Hole Mass operator
• On the Cohomology of the Noncritical $W$-string
• On the Twisted $N=2$ Superconformal Structure in $2d$ Gravity Coupled to Matter
• Discrete States of 2D String Theory in Polyakov's Light-Cone Gauge
• The Topological Cigar Observables
• BRST cohomology of timelike Liouville theory
• The no-ghost theorem in curved backgrounds with a timelike u(1): NSR string
• Ward Identities of $W_{\infty }$ Symmetry in Liouville Theory coupled to $c_M<1$ Matter
• The BRST quantization of the nonlinear $W{B}_2$ and $W_4$ algebras
• Canonical and Functional Schrodinger Quantization of Two--Dimensional Dilaton Gravity
• Topological gravity with exchange algebra
• $(1,q=-1)$ Model as a Topological Description of $2d$ String Theory
• Conformal Field Theory on R x S^3 from Quantized Gravity
• On the Symmetry Algebra of the Discrete States in $d<2$ Closed String Theory
• On touching random surfaces, two-dimensional quantum gravity and non-critical string theory
• Instanton and Spectral Flow in Topological Conformal Field Theories
• Perturbation Theory in Two Dimensional Open String Field Theory
• Physical States, Factorization and Nonlinear Structures in Two Dimensional Quantum Gravity
• Boundary operators and touching of loops in 2d gravity
• On the Uniqueness of the Twisted Representation in the Z_2 Orbifold Construction of a Conformal Field Theory from a Lattice
• Extraction of Black Hole Geometry in Exactly Quantized Two Dimensional Dilaton Gravity
• The spectrum of the 2D Black Hole, or Does the 2D black hole have tachyonic or W--hair?
• Semi-infinite cohomology in conformal field theory and 2d gravity
• The W_3 algebra: modules, semi-infinite cohomology and BV-algebras
• c=1 discrete states correlators via W${}_{1+\infty }$ constraints
• Coupling of Tachyons and Discrete States in $c=1$ 2-D Gravity
• Anomalus BRST Complexes for Non-Critical Massive Strings
• Scattering of Discrete States in Two Dimensional Open String Field Theory
• On realizing the bosonic string as a noncritical $W_3$-string
• $c_M<1$ String Theory as a Constrained Topological Sigma Model
• Non-linear Structures in Non-critical NSR String
• The Complete Structure of the Cohomology Ring and Associated Symmetries in $D=2$ String Theory
• c = 1 Two Dimensional Quantum Gravity
• Matter-ghost mixing and the exact 2d black hole metric
• 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
• BV-Structure of the Cohomology of Nilpotent Subalgebras and the Geometry of (W-) Strings
• Gauged WZNW models and coset constructions in relation to string theories
• Random Matrices, Boundaries and Branes