2D gravity and random matrices
Reads0
Chats0
TLDR
In this article, the authors review recent progress in 2D gravity coupled to d < 1 conformal matter, based on a representation of discrete gravity in terms of random matrices and discuss the saddle point approximation for these models, including a class of related O(n) matrix models.About:
This article is published in Physics Reports.The article was published on 1995-03-01 and is currently open access. It has received 1344 citations till now. The article focuses on the topics: f(R) gravity & Hořava–Lifshitz gravity.read more
Citations
More filters
Book
An Introduction to Random Matrices
TL;DR: The theory of random matrices plays an important role in many areas of pure mathematics and employs a variety of sophisticated mathematical tools (analytical, probabilistic and combinatorial) as mentioned in this paper.
Journal ArticleDOI
Non-perturbative renormalization flow in quantum field theory and statistical physics
TL;DR: In this paper, the use of exact renormalization group equation in quantum field theory and statistical physics is reviewed. But the authors focus on the second-order phase transition and the critical behavior of polymer chains, and do not consider the non-perturbative solutions of the coarse-grained free energy.
Journal ArticleDOI
Matrix models, topological strings, and supersymmetric gauge theories
Robbert Dijkgraaf,Cumrun Vafa +1 more
TL;DR: In this paper, it was shown that B-model topological strings on local Calabi-Yau threefolds are large-N duals of matrix models, which in the planar limit naturally give rise to special geometry.
Journal ArticleDOI
On fluctuations of eigenvalues of random Hermitian matrices
TL;DR: In this article, a surface-receptive polyvinyl fluoride film with an adhesive/printing ink vehicle composition comprising an organic solvent solution of (1) a vinyl polymer having attached to the main chain of monovalent radicals of the formula wherein Z is a tetravalent aliphatic hydrocarbon radical of 2 or 3 carbon atoms, R is H or C 1 -C 8 alkyl, R 1 is H, OH or c 1-C 8 non-tertiary alkyls, and R 11 is H/C 1 −C 8
Journal ArticleDOI
Invariants of algebraic curves and topological expansion
Bertrand Eynard,Nicolas Orantin +1 more
TL;DR: In this article, an infinite sequence of invariants for any algebraic curve is defined, which can be used to define a formal series, which satisfies formally an Hirota equation, and thus obtain a new way of constructing a tau function attached to an algebraic graph.
References
More filters
Journal ArticleDOI
Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory
TL;DR: In this paper, the authors present an investigation of the massless, two-dimentional, interacting field theories and their invariance under an infinite-dimensional group of conformal transformations.
Book
Quantum Field Theory and Critical Phenomena
TL;DR: In this paper, a renormalization group analysis is proposed to model the scaling behavior of a field theory in the large N limit of the ferromagnetic order at low temperature.
Journal ArticleDOI
Quantum Geometry of Bosonic Strings
TL;DR: In this article, a formalism for computing sums over random surfaces which arise in all problems containing gauge invariance (like QCD, three-dimensional Ising model etc.) is developed.
Journal ArticleDOI
Intersection theory on the moduli space of curves and the matrix Airy function
TL;DR: In this article, it was shown that two natural approaches to quantum gravity coincide, relying on the equivalence of each approach to KdV equations, and they also investigated related mathematical problems.