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19932009
most citedSpin chains and combinatorics

215 citations · 1k across the 30 of their papers we have counts for

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8 papers · 1 filter

hep-th1999★ 40 cited

Ground State of the Quantum Symmetric Finite Size XXZ Spin Chain with Anisotropy Parameter

V. Fridkin, Yu. Stroganov, D. Zagier

We find an analytic solution of the Bethe Ansatz equations (BAE) for the special case of a finite XXZ spin chain with free boundary conditions and with a complex surface field whic…

hep-th1999★ 13 cited

Aspects of Duality and Confining Strings

Mauri Miettinen, Antti J. Niemi, Yuri Stroganov

We inspect the excitation energy spectrum of a confining string in terms of solitons in an effective field theory model. The spectrum can be characterized by a spectral function, a…

hep-th1999★ 27 cited

The Complex of Solutions of the Nested Bethe Ansatz. The A_2 Spin Chain

G. P. Pronko, Yu. G. Stroganov

The full set of polynomial solutions of the nested Bethe Ansatz is constructed for the case of A_2 rational spin chain. The structure and properties of these associated solutions a…

hep-th1998★ 91 cited

Bethe Equations "on the Wrong Side of Equator"

G. P. Pronko, Yu. G. Stroganov

We analyse the famous Baxter's equations for () spin chain and show that apart from its usual polynomial (trigonometric) solution, which provides the solution of B…

hep-th1995★ 43 cited

The vertex formulation of the Bazhanov-Baxter Model

S. M. Sergeev, V. V. Mangazeev, Yu. G. Stroganov

In this paper we formulate an integrable model on the simple cubic lattice. The -- valued spin variables of the model belong to edges of the lattice. The Boltzmann weights of t…

hep-th1993★ 15 cited

New series of 3D lattice integrable models

V. V. Mangazeev, S. M. Sergeev, Yu. G. Stroganov

In this paper we present a new series of 3-dimensional integrable lattice models with colors. The case generalizes the elliptic model of our previous paper. The weight fu…

hep-th1993★ 19 cited

Elliptic solution for modified tetrahedron equations

V. V. Mangazeev, Yu. G. Stroganov

As is known, tetrahedron equations lead to the commuting family of transfer-matrices and provide the integrability of corresponding three-dimensional lattice models. We present the…

hep-th1993★ 9 cited

Generalized Yang-Baxter Equation

R. M. Kashaev, Yu. G. Stroganov

A generalization of the Yang-Baxter equation is proposed. It enables to construct integrable two-dimensional lattice models with commuting two-layer transfer matrices, while single…