Random surfaces, solvable lattice models and discrete quantum gravity in two dimensions

DOI10.1016/0920-5632(89)90069-8zbMath0957.82508OpenAlexW2041447922MaRDI QIDQ5926857

Ivan K. Kostov

Publication date: 8 March 2001

Published in: Nuclear Physics. B. Proceedings Supplements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0920-5632(89)90069-8

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Quantum field theory on lattices (81T25) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

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A geometric approach to free variable loop equations in discretized theories of 2D gravity ⋮ Normal random matrix ensemble as a growth problem ⋮ On unitary/Hermitian duality in matrix models ⋮ Open intersection numbers and free fields ⋮ A flow in the forest ⋮ 2D string theory as normal matrix model ⋮ Exact solution of the six-vertex model on a random lattice. ⋮ A Lagrangean formalism for Hermitean matrix models ⋮ Phase structure of the \(O(n)\) model on a random lattice for \(n> 2\) ⋮ On geometry and matrix models ⋮ Exactly solvable field theory of \(D=0\) closed and open strings

Cites Work

• Unnamed Item
• Infinite conformal symmetry in two-dimensional quantum field theory
• A method of integration over matrix variables
• Equivalence of the Potts model or Whitney polynomial with an ice-type model
• The planar approximation. II
• Exactly solvable Potts models, bond- and tree-like percolation on dynamical (random) planar lattice
• Dynamically triangulated surfaces---some analytical results

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