2D gravity and random matrices

Infinite conformal symmetry in two-dimensional quantum field theory

Belavin, A. A., Polyakov, A., & Zamolodchikov, A. B. (1984) · Nuclear Physics B · doi:10.1016/0550-3213(84)90052-x · Cited by 4,862 · see citing works

Quantum geometry of bosonic strings

Polyakov, A. M. (1981) · Physics Letters B · doi:10.1016/0370-2693(81)90743-7 · Cited by 3,144 · see citing works

A two-dimensional model for mesons

Hooft, G. ’. (1974) · Nuclear Physics B · doi:10.1016/0550-3213(74)90088-1 · Cited by 1,632 · see citing works

Planar diagrams

Brézin, E., Itzykson, C., Parisi, G., & Zuber, J. B. (1978) · Communications in Mathematical Physics · doi:10.1007/bf01614153 · Cited by 1,479 · see citing works

Intersection theory on the moduli space of curves and the matrix airy function

Kontsevich, M. (1992) · Communications in Mathematical Physics · doi:10.1007/bf02099526 · Cited by 1,472 · see citing works

FRACTAL STRUCTURE OF 2d—QUANTUM GRAVITY

Knizhnik, V. G., Polyakov, A. M., & Zamolodchikov, A. B. (1988) · Modern Physics Letters A · doi:10.1142/s0217732388000982 · Cited by 1,392 · see citing works

Two-dimensional gravity and intersection theory on moduli space

Witten, E. (1990) · Surveys in Differential Geometry · doi:10.4310/sdg.1990.v1.n1.a5 · Cited by 1,290 · see citing works

Lie algebras and equations of Korteweg-de Vries type

Drinfeld, V., & Sokolov, V. V. (1985) · Journal of Mathematical Sciences · doi:10.1007/bf02105860 · Cited by 1,249 · see citing works

Exactly solvable field theories of closed strings

Brézin, E., & Kazakov, V. A. (1990) · Physics Letters B · doi:10.1016/0370-2693(90)90818-q · Cited by 1,211 · see citing works

CONFORMAL FIELD THEORIES COUPLED TO 2-D GRAVITY IN THE CONFORMAL GAUGE

David, F. (1988) · Modern Physics Letters A · doi:10.1142/s0217732388001975 · Cited by 1,135 · see citing works

Strings in less than one dimension

Douglas, M. R., & Shenker, S. H. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90522-f · Cited by 1,103 · see citing works

Conformal field theory and 2D quantum gravity

Jacques Distler, B., & Kawai, H. (1989) · Nuclear Physics B · doi:10.1016/0550-3213(89)90354-4 · Cited by 1,101 · see citing works

Nonperturbative two-dimensional quantum gravity

Gross, D. J., & Migdal, A. A. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.127 · Cited by 1,013 · see citing works

The planar approximation. II

Itzykson, C., & Zuber, J.-B. (1980) · Journal of Mathematical Physics · doi:10.1063/1.524438 · Cited by 920 · see citing works

On the structure of the topological phase of two-dimensional gravity

Witten, E. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90449-n · Cited by 856 · see citing works

Quantum geometry of fermionic strings

Polyakov, A. M. (1981) · Physics Letters B · doi:10.1016/0370-2693(81)90744-9 · Cited by 817 · see citing works

Topological strings in d < 1

Dijkgraaf, R., Verlinde, H., & Verlinde, E. (1991) · Nuclear Physics B · doi:10.1016/0550-3213(91)90129-l · Cited by 674 · see citing works

Planar diagrams, two-dimensional lattice gravity and surface models

David, F. (1985) · Nuclear Physics B · doi:10.1016/0550-3213(85)90335-9 · Cited by 669 · see citing works

Diseases of triangulated random surface models, and possible cures

Ambjørn, J., Durhuus, B., & Fröhlich, J. (1985) · Nuclear Physics B · doi:10.1016/0550-3213(85)90356-6 · Cited by 645 · see citing works

Critical properties of randomly triangulated planar random surfaces

Kazakov, V., Kostov, I. K., & Migdal, A. (1985) · Physics Letters B · doi:10.1016/0370-2693(85)90669-0 · Cited by 627 · see citing works

Quantum field theory techniques in graphical enumeration

Bessis, D., Itzykson, C., & Zuber, J.-B. (1980) · Advances in Applied Mathematics · doi:10.1016/0196-8858(80)90008-1 · Cited by 574 · see citing works

Differential Operators on a Semisimple Lie Algebra

Harish-Chandra, H.-C. (1957) · American Journal of Mathematics · doi:10.2307/2372387 · Cited by 539 · see citing works

Strings in less than one dimension and the generalized KdV hierarchies

Douglas, M. R. (1990) · Physics Letters B · doi:10.1016/0370-2693(90)91716-o · Cited by 512 · see citing works

Loop equations and Virasoro constraints in non-perturbative two-dimensional quantum gravity

Dijkgraaf, R., Verlinde, H., & Verlinde, E. (1991) · Nuclear Physics B · doi:10.1016/0550-3213(91)90199-8 · Cited by 482 · see citing works

Ising model on a dynamical planar random lattice: Exact solution

Kazakov, V. (1986) · Physics Letters A · doi:10.1016/0375-9601(86)90433-0 · Cited by 437 · see citing works

A nonperturbative treatment of two-dimensional quantum gravity

Gross, D. J., & Migdal, A. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90450-r · Cited by 430 · see citing works

Analytical and numerical study of a model of dynamically triangulated random surfaces

Boulatov, D. V., Kazakov, V. A., Kostov, I. K., & Migdal, A. A. (1986) · Nuclear Physics B · doi:10.1016/0550-3213(86)90578-x · Cited by 375 · see citing works

Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra

Feigin, B. L., & Фукс, Д. Б. (1982) · Functional Analysis and Its Applications · doi:10.1007/bf01081626 · Cited by 373 · see citing works

CONTINUUM SCHWINGER-DYSON EQUATIONS AND UNIVERSAL STRUCTURES IN TWO-DIMENSIONAL QUANTUM GRAVITY

Fukuma, M., Kawai, H., & Nakayama, R. (1991) · International Journal of Modern Physics A · doi:10.1142/s0217751x91000733 · Cited by 372 · see citing works

Mean field theory, topological field theory, and multi-matrix models

Dijkgraaf, R., & Witten, E. H. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90324-7 · Cited by 367 · see citing works

A model of random surfaces with non-trivial critical behaviour

David, F. (1985) · Nuclear Physics B · doi:10.1016/0550-3213(85)90363-3 · Cited by 365 · see citing works

The ising model on a random planar lattice: The structure of the phase transition and the exact critical exponents

Boulatov, D. V., & Kazakov, V. (1987) · Physics Letters B · doi:10.1016/0370-2693(87)90312-1 · Cited by 332 · see citing works

THE APPEARANCE OF MATTER FIELDS FROM QUANTUM FLUCTUATIONS OF 2D-GRAVITY

KAZAKOV, V. A. (1989) · Modern Physics Letters A · doi:10.1142/s0217732389002392 · Cited by 289 · see citing works

From loops to states in two-dimensional quantum gravity

Moore, G. M., Seiberg, N., & Staudacher, M. (1991) · Nuclear Physics B · doi:10.1016/0550-3213(91)90548-c · Cited by 288 · see citing works

Correlation functions in Liouville theory

Goulian, M., & Li, M. (1991) · Physical Review Letters · doi:10.1103/physrevlett.66.2051 · Cited by 285 · see citing works

Ground ring of two-dimensional string theory

Witten, E. (1992) · Nuclear Physics B · doi:10.1016/0550-3213(92)90454-j · Cited by 278 · see citing works

Matrix models of two-dimensional gravity and Toda theory

Gerasimov, A. A., Marshakov, A. V., Миронов, А., Morozov, A. A., & Orlov, A. Y. (1991) · Nuclear Physics B · doi:10.1016/0550-3213(91)90482-d · Cited by 262 · see citing works

Microscopic and macroscopic loops in non-perturbative two dimensional gravity

Banks, T., Douglas, M. R., Nathan Seiberg, B., & Shenker, S. H. (1990) · Physics Letters B · doi:10.1016/0370-2693(90)91736-u · Cited by 254 · see citing works

LOOP EQUATIONS AND NON-PERTURBATIVE EFFECTS IN TWO-DIMENSIONAL QUANTUM GRAVITY

David, F. (1990) · Modern Physics Letters A · doi:10.1142/s0217732390001141 · Cited by 247 · see citing works

Nonperturbative solution of the Ising model on a random surface

Gross, D. J., & Migdal, A. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.717 · Cited by 240 · see citing works

N=2 SUPERCONFORMAL MODELS AS TOPOLOGICAL FIELD THEORIES

Eguchi, T., & Yang, S.-K. (1990) · Modern Physics Letters A · doi:10.1142/s0217732390001943 · Cited by 236 · see citing works

2D gravity+1D matter

Ginsparg, P., & Zinn‐Justin, J. (1990) · Physics Letters B · doi:10.1016/0370-2693(90)91108-n · Cited by 217 · see citing works

Geometry of the string equations

Moore, G. W. (1990) · Communications in Mathematical Physics · doi:10.1007/bf02097368 · Cited by 207 · see citing works

Operator algebra of two-dimensional conformal theories with central charge C ≤ 1

Dotsenko, V. S., & Fateev, V. A. (1985) · Physics Letters B · doi:10.1016/0370-2693(85)90366-1 · Cited by 193 · see citing works

O (n) VECTOR MODEL ON A PLANAR RANDOM LATTICE: SPECTRUM OF ANOMALOUS DIMENSIONS

Kostov, I. K. (1989) · Modern Physics Letters A · doi:10.1142/s0217732389000289 · Cited by 190 · see citing works

COMBINATORICS OF THE MODULAR GROUP II THE KONTSEVICH INTEGRALS

Itzykson, C., & Zuber, J.-B. (1992) · International Journal of Modern Physics A · doi:10.1142/s0217751x92002581 · Cited by 182 · see citing works

The ising model coupled to 2D gravity. A nonperturbative analysis

Brézin, E., Douglas, M. R., Kazakov, V., et al. (1990) · Physics Letters B · doi:10.1016/0370-2693(90)90458-i · Cited by 181 · see citing works

Recent progress in the theory of noncritical strings

Kazakov, V., & Migdal, A. (1988) · Nuclear Physics B · doi:10.1016/0550-3213(88)90146-0 · Cited by 173 · see citing works

World-sheet and space-time physics in two-dimensional (super)string theory

Francesco, P. D., & Kutasov, D. (1992) · Nuclear Physics B · doi:10.1016/0550-3213(92)90337-b · Cited by 172 · see citing works

Phases of the large-N matrix model and non-perturbative effects in 2D gravity

David, F. (1991) · Nuclear Physics B · doi:10.1016/0550-3213(91)90202-9 · Cited by 165 · see citing works

Towards unified theory of 2d gravity

Kharchev, S., Marshakov, A. V., Mironov, A. D., et al. (1992) · Nuclear Physics B · doi:10.1016/0550-3213(92)90521-c · Cited by 157 · see citing works

Renormalization group approach to matrix models

Brézin, E., & Zinn‐Justin, J. (1992) · Physics Letters B · doi:10.1016/0370-2693(92)91953-7 · Cited by 147 · see citing works

The Yang-Lee edge singularity on a dynamical planar random surface

Staudacher, M. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90432-d · Cited by 139 · see citing works

Correlation functions in 2D string theory

Francesco, P. D., & Kutasov, D. (1991) · Physics Letters B · doi:10.1016/0370-2693(91)90444-u · Cited by 131 · see citing works

Flow and instability in quantum gravity

Douglas, M. R., Seiberg, N., & Shenker, S. H. (1990) · Physics Letters B · doi:10.1016/0370-2693(90)90333-2 · Cited by 119 · see citing works

A non-perturbative ambiguity free solution of a string model

Brézin, E., Marinari, E., & Parisi, G. (1990) · Physics Letters B · doi:10.1016/0370-2693(90)91590-8 · Cited by 119 · see citing works

The Ising model, the Yang-Lee edge singularity, and 2D quantum gravity

Crnković, Č., Ginsparg, P., & Moore, G. M. (1990) · Physics Letters B · doi:10.1016/0370-2693(90)91428-e · Cited by 119 · see citing works

Multicritical phases of the O(n) model on a random lattice

Kostov, I. K., & Staudacher, M. (1992) · Nuclear Physics B · doi:10.1016/0550-3213(92)90576-w · Cited by 108 · see citing works

Generalized matrix models as conformal field theories Discrete case

Marshakov, A. V., Mironov, A. D., & Morozov, A. A. (1991) · Physics Letters B · doi:10.1016/0370-2693(91)90021-h · Cited by 107 · see citing works

The supersymmetric one-dimensional string

Marinari, E., & Giorgio Parisi, A. (1990) · Physics Letters B · doi:10.1016/0370-2693(90)91115-r · Cited by 106 · see citing works

Topological gravity with minimal matter

Li, K. (1991) · Nuclear Physics B · doi:10.1016/0550-3213(91)90373-6 · Cited by 104 · see citing works

Genus-one path integral in two-dimensional quantum gravity

Bershadsky, M., & Klebanov, I. R. (1990) · Physical Review Letters · doi:10.1103/physrevlett.65.3088 · Cited by 97 · see citing works

The O(n) model on a random surface: critical points and large-order behaviour

Eynard, B., & Zinn‐Justin, J. (1992) · Nuclear Physics B · doi:10.1016/0550-3213(92)90630-t · Cited by 90 · see citing works

Unitary minimal models coupled to 2D quantum gravity

Francesco, P. D., & Kutasov, D. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90328-b · Cited by 89 · see citing works

Euclidean quantum gravity on a lattice

Weingarten, D. (1982) · Nuclear Physics B · doi:10.1016/0550-3213(82)90241-3 · Cited by 83 · see citing works

Continuum versus discrete Virasoro in one-matrix models

Makeenko, Y. M., Marshakov, A. V., Миронов, А., & Morozov, A. A. (1991) · Nuclear Physics B · doi:10.1016/0550-3213(91)90379-c · Cited by 77 · see citing works

Ground rings and their modules in 2D gravity with c⩽1 matter

Kutasov, D., Martinec, E. J., & Seiberg, N. (1992) · Physics Letters B · doi:10.1016/0370-2693(92)91664-u · Cited by 76 · see citing works

O(n) model on a fluctuating planar lattice. Some exact results

Gaudin, M., & Kostov, I. K. (1989) · Physics Letters B · doi:10.1016/0370-2693(89)90037-3 · Cited by 68 · see citing works

(p, q) string actions

Ginsparg, P., Goulian, M., Plesser, M. R., & Zinn‐Justin, J. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90326-9 · Cited by 67 · see citing works

Polynomial averages in the Kontsevich model

Francesco, P. D., Itzykson, C., & Zuber, J.-B. (1993) · Communications in Mathematical Physics · doi:10.1007/bf02096753 · Cited by 64 · see citing works

On the origin of integrability in matrix models

Martinec, E. J. (1991) · Communications in Mathematical Physics · doi:10.1007/bf02102036 · Cited by 60 · see citing works

Possible types of critical behaviour and the mean size of dynamically triangulated random surfaces

Boulatov, D. V., Kazakov, V., Kostov, I. K., & Migdal, A. (1986) · Physics Letters B · doi:10.1016/0370-2693(86)91134-2 · Cited by 59 · see citing works

Multicritical points of unoriented random surfaces

Brézin, E., & Herbert Neuberger, B. (1991) · Nuclear Physics B · doi:10.1016/0550-3213(91)90154-p · Cited by 49 · see citing works

FROM VIRASORO CONSTRAINTS IN KONTSEVICH’S MODEL TO ${\mathcal W}$-CONSTRAINTS IN TWO-MATRIX MODELS

Marshakov, A. V., Mironov, A. D., & Morozov, A. A. (1992) · Modern Physics Letters A · doi:10.1142/s0217732392001014 · Cited by 44 · see citing works

Large order behaviour of 2D gravity coupled to D<1 matter

Eynard, B., & Zinn‐Justin, J. (1993) · Physics Letters B · doi:10.1016/0370-2693(93)90416-f · Cited by 37 · see citing works

NONPERTURBATIVE 2D QUANTUM GRAVITY VIA SUPERSYMMETRIC STRING

Karliner, M., & MIGDAL, S. (1990) · Modern Physics Letters A · doi:10.1142/s0217732390002985 · Cited by 36 · see citing works

Random surfaces, statistical mechanics and string theory

Álvarez-Gaumé, L. (1991) · CERN Document Server (European Organization for Nuclear Research) · doi:10.5169/seals-116310 · Cited by 35 · see citing works

Large-Nscaling limits of symmetric-matrix models as systems of fluctuating unoriented surfaces

Brézin, E., & Herbert Neuberger, B. (1990) · Physical Review Letters · doi:10.1103/physrevlett.65.2098 · Cited by 31 · see citing works

(q, p) critical point from two-matrix models

Tada, T. (1991) · Physics Letters B · doi:10.1016/0370-2693(91)91654-e · Cited by 28 · see citing works

Unoriented strings and matrix ensembles

Harris, G. R., & Martinec, E. J. (1990) · Physics Letters B · doi:10.1016/0370-2693(90)90663-q · Cited by 28 · see citing works

Bosonic Strings and String Field Theories in One-Dimensional Target Space

Kazakov, V. (1991) · NATO ASI series. Series B : Physics · doi:10.1007/978-1-4615-3772-4_18 · Cited by 26 · see citing works

A COMPACT BOSON COUPLED TO TWO-DIMENSIONAL GRAVITY

Norisuke Sakai, B., & Tanii, Y. (1991) · International Journal of Modern Physics A · doi:10.1142/s0217751x91001337 · Cited by 26 · see citing works

Doubling of equations and universality in matrix models of random surfaces

Bachas, C. P., & Petropoulos, P. M. (1990) · Physics Letters B · doi:10.1016/0370-2693(90)90910-x · Cited by 23 · see citing works

Open string theory in 1 + 1 dimensions

Bershadsky, M., & Kutasov, D. (1992) · Physics Letters B · doi:10.1016/0370-2693(92)91993-j · Cited by 20 · see citing works

ON THE LIOUVILLE APPROACH TO CORRELATION FUNCTIONS FOR 2D QUANTUM GRAVITY

AOKI, K., & D’Hoker, E. (1992) · Modern Physics Letters A · doi:10.1142/s0217732392000185 · Cited by 19 · see citing works

Scattering of open and closed strings in 1 + 1 dimensions

Bershadsky, M., & Kutasov, D. (1992) · Nuclear Physics B · doi:10.1016/0550-3213(92)90184-d · Cited by 16 · see citing works

Nonperturbative analysis of the three matrix model

Kunitomo, H., & Odake, S. (1990) · Physics Letters B · doi:10.1016/0370-2693(90)91049-h · Cited by 13 · see citing works

Tricritical Ising model, generalized KdVs, and nonperturbative 2D quantum gravity

Kreuzer, M., & Schimmrigk, R. (1990) · Physics Letters B · doi:10.1016/0370-2693(90)90013-v · Cited by 13 · see citing works

PHASE DIAGRAMS OF 3-MATRIX MODEL

Fukazawa, K., Hamada, K., & Sato, H.-T. (1990) · Modern Physics Letters A · doi:10.1142/s0217732390002808 · Cited by 8 · see citing works

Integrable Models of Two Dimensional Quantum Gravity

Francesco, P. D., & Kutasov, D. (1991) · NATO ASI series. Series B : Physics · doi:10.1007/978-1-4615-3772-4_4 · Cited by 8 · see citing works

Lecture notes on 2-D quantum gravity and Liouville theory

D’Hoker, E. (1991) · Cited by 8 · see citing works

Large N limit and discretized two-dimensional quantum gravity

Brézin, E. (1991) · doi:10.1142/9789814538992_0001 · Cited by 5 · see citing works

Non-perturbative renormalization flow in quantum field theory and statistical physics

Berges, J., Tetradis, N., & Wetterich, C. (2002) · Physics Reports · doi:10.1016/s0370-1573(01)00098-9 · Cited by 1,548 · see citing works

Group Field Theory: An Overview

Freidel, L. (2005) · International Journal of Theoretical Physics · doi:10.1007/s10773-005-8894-1 · Cited by 378 · see citing works

The 1/N Expansion of Colored Tensor Models

Gurau, R. (2011) · Annales Henri Poincaré · doi:10.1007/s00023-011-0101-8 · Cited by 298 · see citing works

Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity

Mertens, T. G., & Turiaci, G. J. (2023) · Living Reviews in Relativity · doi:10.1007/s41114-023-00046-1 · Cited by 181 · see citing works

Disappearance and emergence of space and time in quantum gravity

Oriti, D. (2014) · Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics · doi:10.1016/j.shpsb.2013.10.006 · Cited by 166 · see citing works

Functional renormalisation group approach for tensorial group field theory: a rank-3 model

Benedetti, D., Geloun, J. B., & Oriti, D. (2015) · Journal of High Energy Physics · doi:10.1007/jhep03(2015)084 · Cited by 104 · see citing works

Ten questions on Group Field Theory (and their tentative answers)

Baratin, A., & Oriti, D. (2012) · Journal of Physics: Conference Series · doi:10.1088/1742-6596/360/1/012002 · Cited by 100 · see citing works

Nonperturbative summation over 3D discrete topologies

Freidel, L., & Louapre, D. (2003) · Physical Review D · doi:10.1103/physrevd.68.104004 · Cited by 80 · see citing works

Functional renormalization group analysis of tensorial group field theories on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mi>d</mml:mi></mml:msup></mml:math>

Geloun, J. B., Martini, R., & Oriti, D. (2016) · Physical Review D · doi:10.1103/physrevd.94.024017 · Cited by 71 · see citing works

Functional Renormalization Group analysis of a Tensorial Group Field Theory on $\mathbb{R}^3$

Ben Geloun, J., Martini, R., & Oriti, D. (2015) · EPL (Europhysics Letters) · doi:10.1209/0295-5075/112/31001 · Cited by 62 · see citing works

Towards phase transitions between discrete and continuum quantum spacetime from the renormalization group

Eichhorn, A., & Koslowski, T. (2014) · Physical Review D · doi:10.1103/physrevd.90.104039 · Cited by 51 · see citing works

Generalized quantum gravity condensates for homogeneous geometries and cosmology

Oriti, D., Pranzetti, D., Ryan, J. P., & Sindoni, L. (2015) · Classical and Quantum Gravity · doi:10.1088/0264-9381/32/23/235016 · Cited by 48 · see citing works

Matrix ensembles with global symmetries and ’t Hooft anomalies from 2d gauge theory

Kapec, D., Mahajan, R., & Stanford, D. (2020) · Journal of High Energy Physics · doi:10.1007/jhep04(2020)186 · Cited by 45 · see citing works

Impact of nonlinear effective interactions on group field theory quantum gravity condensates

Pithis, A. G. A., Sakellariadou, M., & Tomov, P. (2016) · Physical Review D · doi:10.1103/physrevd.94.064056 · Cited by 34 · see citing works

Asymptotically free AdS3/CFT2

Balthazar, B., Giveon, A., Kutasov, D., & Martinec, E. J. (2022) · Journal of High Energy Physics · doi:10.1007/jhep01(2022)008 · Cited by 3 · see citing works