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19912020
most citedTopological Lattice Models in Four Dimensions

382 citations

Showing 1996 · hep-thShow all

10 papers · 2 filters

hep-th1996★ 25 cited

Completely Integrable Equation for the Quantum Correlation Function of Nonlinear Schrödinger Eqaution

T. Kojima, V. Korepin, N. Slavnov

Correlation functions of exactly solvable models can be described by differential equation [Barough, McCoy, Wu]. In this paper we show that for non free fermionic case differential…

hep-th1996★ 111 cited

Determinant representation for dynamical correlation functions of the Quantum nonlinear Schrödinger equation

T. Kojima, V. Korepin, N. Slavnov

The foundation for the theory of correlation functions of exactly solvable models is determinant representation. Determinant representation permit to describe correlation functions…

hep-th1996★ 29 cited

Boundary ABF Models

Tetsuji Miwa, Robert Weston

We diagonalise the transfer matrix of boundary ABF models using bosonized vertex operators. We compute the boundary S-matrix and check the scaling limit against known results for p…

hep-th1996★ 1 cited

Maxwell-Bloch equation and Correlation function for penetrable Bose gas

T. Kojima, V. Korepin

We consider the quantum nonlinear Schrödinger equation in one space and one time dimension. We are interested in the non-free-fermionic case. We consider static temperature-depende…

hep-th1996★ 28 cited

Lukyanov's Screening Operators for the Deformed Virasoro Algebra

M. Jimbo, M. Lashkevich, T. Miwa +1

The BRST property of Lukyanov's screening operators in the bosonic representation of the deformed Virasoro algebra is proven.

hep-th1996★ 52 cited

Bosonization of vertex operators for the $A^{(1)_{n-1}$ face model

Y. Asai, M. Jimbo, T. Miwa +1

We present a free boson realization of the vertex operators and their duals for the solvable SOS lattice model of type. We discuss a possible connection to the calc…

hep-th1996★ 9 cited

Ground state Correlation functions for an impenetrable Bose gas with Neumann or Dirichlet boundary conditions

T. Kojima

We study density correlation functions for an impenetrable Bose gas in a finite box, with Neumann or Dirichlet boundary conditions in the ground state. We derive the Fredholm minor…

hep-th1996★ 144 cited

Deformation Quantization and Nambu Mechanics

Giuseppe Dito, Moshe Flato, Daniel Sternheimer +1

Starting from deformation quantization (star-products), the quantization problem of Nambu Mechanics is investigated. After considering some impossibilities and pushing some analogi…

hep-th1996★ 11 cited

Semi-infinite wedges and the conformal limit of the fermionic Calogero-Sutherland Model with spin

Denis Uglov

The conformal limit over an anti-ferromagnetic vacuum of the fermionic spin Calogero-Sutherland Model is derived by using the wedge product formalism. The space of st…

hep-th1996★ 280 cited

QKZ equation with |q|=1 and correlation functions of the XXZ model in the gapless regime

Michio Jimbo, Tetsuji Miwa

An integral solution to the quantum Knizhnik-Zamolodchikov (KZ) equation with is presented. Upon specialization, it leads to a conjectural formula for correlation functi…