Quantum geometry of bosonic strings
1981/07/01 by A. M. Polyakov, A.M. Polyakov · 150 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · doi:10.1016/0370-2693(81)90743-7
crossref issued 1981/07/01 · crossref published 1981/07/01 · crossref published-print 1981/07/01 · openalex publication_date 1981/07/01 · crossref created 2003/02/04 · crossref deposited 2019/04/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04 · crossref indexed 2026/08/04
Cited by
- Trends, Volatility, Correlations, and Critical Phenomena in Financial Markets
- Spacetime supersymmetry of extended fermionic strings in 2+2 dimensions
- General treatment of anomalies in (1,0) and (1,1) two-dimensional supergravity
- Revisiting the gauge principle: enforcing constants of motion as constraints
- Census taking in the hat: FRW/CFT duality
- RG flow on random surfaces with handles and closed string field theory
- Strings with discrete target space
- ON THE YANG–MILLS AND QCD SPECTRA FROM FIVE-DIMENSIONAL STRINGS
- Causal structure and algebraic classification of non-dissipative linear optical media
- On the transition from crystalline to dynamically triangulated random surfaces
- Studying critical string emerging from non-Abelian vortex in four dimensions
- All-order quantum gravity in two dimensions
- Schwinger terms in Weyl-invariant and diffeomorphism-invariant 2D scalar field theory
- Scattering of string-waves on black hole background
- JOINING-SPLITTING INTERACTION OF NONCRITICAL STRING
- Non-perturbative solution of matrix models modified by trace-squared terms
- Some properties of the Alday–Maldacena minimum
- Faddeev-Popov determinant in 2-dimensional Regge gravity
- Multiloop superstring amplitudes from non-minimal pure spinor formalism
- Quantum dynamics of N = 1, D = 4 supergravity compensator
- Supersymmetric biorthogonal quantum systems
- Extrinsic curvature dependence of Nielsen-Olesen strings
- On the covariant quantization of tensionless bosonic strings in AdS spacetime
- Gravitational dressing of N = 2 σ-models beyond leading order
- Dual Actions for Born–Infeld and Dp -Brane Theories
- Strings, world-sheet covariant quantization and Bohmian mechanics
- A string field theory based on causal dynamical triangulations
- Are horned particles the end point of Hawking evaporation?
- Light-cone gauge for 1 + 1 strings
- Higher- U (2,2)-spin fields and higher-dimensional 𝒲-gravities: quantum AdS space and radiation phenomena
- Quantum Gravity
- Gravitational scattering of cosmic strings by non-rotating black holes
- Renormalizable 4D Quantum Gravity as a Perturbed Theory from CFT
- Correlation functions and vertex operators of Liouville theory
- The correlator toolbox, metrics and moduli
- QCD AND STRING THEORY
- Boundary correlators in 2D quantum gravity: Liouville versus discrete approach
- Smooth random surfaces from tight immersions?
- The Poisson structure of a 4D spinning string
- Path-integral formulation of the Dirichlet string in general backgrounds
- Semi-infinite throats at finite temperature and static solutions in exactly solvable models of 2d dilaton gravity
- Algebraic Curve for the SO(6) Sector of AdS/CFT
- Canonical quantization of motion on submanifolds
- New representation of the nonlocal ghost-free gravity theory
- Emergent gravity from vanishing energy-momentum tensor
- Quantum evolution of near-extremal Reissner–Nordström black holes
- Fractional bosonic strings
- Path-integral formulation of closed strings
- Quantum gravity: a progress report
- Deriving Spin of the Bosonic String1
- KPZ formulas for Weyl-invariant induced and topologically massive gravity
- Advanced manifold-metric pairs
- THE HEISENBERG–EULER EFFECTIVE ACTION: 75 YEARS ON
- Renormalization of Newton’s constant
- M-theory and the string genus expansion
- Path integral over reparametrizations: Lévy flights versus random walks
- Conformal field theory, (2 + 1)-dimensional gravity and the BTZ black hole
- Three-point correlation functions in N = 1 super Liouville theory
- Strongly Coupled Quantum Discrete Liouville Theory.¶I: Algebraic Approach and Duality
- Extremals of determinants of Laplacians
- Classical and quantum massive string
- Bulk one-point function on disk in one-matrix model
- Polyakov formulas for GJMS operators from AdS/CFT
- On Classical String Configurations
- Braneworld gravity in a symmetric space bulk
- Quantum fields in the non-perturbative regime - Yang-Mills theory and\n gravity
- Birth and growth of a two-dimensional universe
- Primordial fluctuations in extended Liouville theory
- Boundary operators in the one-matrix model
- Matrix Quantum Mechanics and Two-dimensional String Theory in Non-trivial Backgrounds
- On Anomalies in Classical Dynamical Systems
- Light-front quantization with the light cone gauge
- A DYNAMICAL SOLUTION OF STABLE STAROBINSKY-TYPE INFLATIONARY MODEL IN QUANTUM GEOMETRY
- NONCRITICAL STRING LIOUVILLE THEORY AND GEOMETRIC BOOTSTRAP HYPOTHESIS
- Quantum Extremal Islands Made Easy, Part IV: Massive Black Holes on the Brane
- Half-solution to the two-body problem in general relativity
- Semiclassical energy of open Nambu-Goto strings
- Semiclassical Regge trajectories of noncritical string and large-N QCD
- A causal algebra for Liouville exponentials
- Yang-Baxter sigma models and Lax pairs arising from κ-Poincaré r-matrices
- Strings in Singular Space-Times and Their Universal Gauge Theory
- Wrapped branes and confined momentum
- QED as the tensionless limit of the spinning string with contact interaction
- The Conformal Anomaly and a new Exact RG
- Conformal field theories from deformations of theories withWnsymmetry
- Confinement near Argyres–Douglas point in QCD and low energy version of AdS/CFT correspondence
- Determination of gravitational counterterms near four dimensions from renormalization group equations
- Canonical BRST quantisation of worldsheet gravities
- The Fractal Dimension of Liouville Quantum Gravity: Universality, Monotonicity, and Bounds
- Entanglement renormalization and two dimensional string theory
- Exact solutions of closed string theory
- The phase diagram of fluid random surfaces with extrinsic curvature
- Duality Anomalies in Linearized Gravity
- Yang-Mills glueballs as closed bosonic strings
- Five Dimensional Dynamical Triangulations
- Effective string theory and nonlinear Lorentz invariance
- Local Conformal Structure of Liouville Quantum Gravity
- Weyl symmetry in stochastic quantum gravity
- Hamiltonian approach to 2D supergravity
- Measuring the string susceptibility in 2D simplicial quantum gravity using the Regge approach
- Universal light quark mass dependence and heavy-light meson spectroscopy
- A scenario for the c > 1 barrier in non-critical bosonic strings
- The susceptibility exponent of Nambu–Goto strings
- Holographic Entanglement of Purification from Conformal Field Theories
- Geodesic networks in Liouville quantum gravity surfaces
- Conformally invariant off-shell string physics
- Quantum corrections in Galileon theories
- On KP-integrable Hurwitz functions
- On classical stability with broken supersymmetry
- Clebsch confinement and instantons in turbulence
- Volume of metric balls in Liouville quantum gravity
- Frobenius manifolds, integrable hierarchies and minimal Liouville gravity
- Complexity functionals and complexity growth limits in continuous MERA circuits
- Exactly solvable models in 2D semiclassical dilaton gravity and extremal black holes
- On the many saddle points description of quantum black holes
- SLE and the free field: Partition functions and couplings
- Boundary loop models and 2D quantum gravity
- Braiding and fusion properties of the Neveu-Schwarz super-conformal blocks
- The multivalued free-field maps of Liouville and Toda gravities
- Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems
- On the covariant formalism of the effective field theory of gravity and leading order corrections
- Superstrings in 2D backgrounds with R–R flux and new extremal black holes
- NONCOMMUTATIVITY IN LINEAR DILATON BACKGROUND
- Path Integration and Separation of Variables in Spaces of Constant Curvature in Two and Three Dimensions
- Euclidean Wormholes, Baby Universes, and Their Impact on Particle Physics and Cosmology
- Area-preserving structure of massless matter-gravity fields in 1+1 dimensions
- Green–Schwarz, Nambu–Goto actions, and Cayley's hyperdeterminant
- The isomonodromy approach to matric models in 2D quantum gravity
- The Casimir effect in conformal field theories
- The Fyodorov–Bouchaud formula and Liouville conformal field theory
- Boundary superstring field theory annulus partition function in the presence of tachyons
- Analytic continuation of Liouville theory
- Polyakov-Alvarez type comparison formulas for determinants of Laplacians on Riemann surfaces with conical singularities
- Gauge invariant computable quantities in timelike Liouville theory
- Zero-brane approach to study of particle-like solitons in classical and quantum Liouville field theory
- A differential equation for a four-point correlation function in Liouville field theory and elliptic four-point conformal blocks
- FQHE on curved backgrounds, free fields and large N
- Beta function without UV divergences
- Cosmological production of vector bosons and cosmic microwave background radiation
- Making a Universe
- Twenty years of the Weyl anomaly
- Functional determinants on regions of the plane and sphere
- A note on Polyakov's non-local form of the effective action
- Conformal gauge generators in Liouville theory
- Induced Polyakov supergravity on Riemann surfaces of higher genus
- Hamiltonian analysis of SL(2,R) symmetry in Liouville theory
- General structure of Thomas-Whitehead gravity
- Theory of ultracold superstrings
- Modular invariant regularization of string determinants and the Serre GAGA principle
- Polyakov action [wikipedia]