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most citedTopological Lattice Models in Four Dimensions

382 citations

Showing 1992Show all

12 papers · 1 filter

hep-th1992★ 1 cited

Coset Conformal Field Theory and Topological Minimal Model on Higher Genus Riemann Surface

Hitoshi Konno

We consider the Feigin-Fuchs-Felder formalism of the coset minimal conformal field theory and extend it to higher genus. We investigate a double…

hep-th1992★ 9 cited

Schwinger-Dyson equation in three-dimensional simplicial quantum gravity

Hirosi Ooguri

We study the simplicial quantum gravity in three dimensions. Motivated by the Boulatov's model which generates a sum over simplicial complexes weighted with the Turaev-Viro invaria…

hep-th1992★ 3 cited

On the Continuum Limit of the Conformal Matrix Models

A. Mironov, S. Pakuliak

The double scaling limit of a new class of the multi-matrix models proposed in \cite{MMM91}, which possess the -symmetry at the discrete level, is investigated in details. These…

hep-th1992★ 18 cited

Structure of the space of states in RSOS models

Michio Jimbo, Tetsuji Miwa, Yasuhiro Ohta

The restricted solid-on-solid models in the anti-ferromagnetic regime is studied in the framework of quantum affine algebras. Following the line developed recently for vertex model…

hep-th1992★ 78 cited

Quantum affine symmetry in vertex models

Makoto Idzumi, Kenji Iohara, Michio Jimbo +3

We study the higher spin anologs of the six vertex model on the basis of its symmetry under the quantum affine algebra $U_q(\slth)$. Using the method developed recently for the XXZ…

hep-th1992★ 49 cited

Affine Toda Solitons and Automorphisms of Dynkin Diagrams

Niall MacKay, William McGhee

Using Hirota's method, solitons are constructed for affine Toda field theories based on the simply-laced affine algebras. By considering automorphisms of the simply-laced Dynkin di…

hep-th1992★ 142 cited

Conformal Matrix Models as an Alternative to Conventional Multi-Matrix Models

S. Kharchev, A. Marshakov, A. Mironov +2

We introduce {\it conformal multi-matrix models} (CMM) as an alternative to conventional multi-matrix model description of two-dimensional gravity interacting with matter.…

hep-th1992★ 382 cited

Topological Lattice Models in Four Dimensions

Hirosi Ooguri

We define a lattice statistical model on a triangulated manifold in four dimensions associated to a group . When , the statistical weight is constructed from the -…

hep-th1992★ 308 cited

Correlation Functions of the XXZ model for

Michio Jimbo, Kei Miki, Tetsuji Miwa +1

A new approach to the correlation functions is presented for the XXZ model in the anti-ferroelectric regime. The method is based on the recent realization of the quantum affine sym…

hep-th1992★ 23 cited

Corner Transfer Matrices and Quantum Affine Algebras

Omar Foda, Tetsuji Miwa

Let H be the corner-transfer-matrix Hamiltonian for the six-vertex model in the anti-ferroelectric regime. It acts on the infinite tensor product W = V . V . V ....., where is the…

hep-th1992★ 236 cited

Diagonalization of the XXZ Hamiltonian by Vertex Operators

Brian Davies, Omar Foda, Michio Jimbo +2

We diagonalize the anti-ferroelectric XXZ-Hamiltonian directly in the thermodynamic limit, where the model becomes invariant under the action of affine U_q( sl(2) ). Our method is…

hep-th1992★ 2 cited

Matrix model with superconformal symmetry

Michiaki Takama

A matrix model is presented which leads to the discrete ``eigenvalue model'' proposed recently by Alvarez-Gaumé {\it et.al.} for 2D supergravity (coupled to superconformal matters)…