activity
19952023
most citedHow instanton combinatorics solves Painlevé VI, V and III's

102 citations · 621 across the 36 of their papers we have counts for

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Showing 2007Show all

5 papers · 1 filter

nlin.SI2007★ 27 cited

Form-factors in the Baxter-Bazhanov-Stroganov model II: Ising model on the finite lattice

G. von Gehlen, N. Iorgov, S. Pakuliak +2

We continue our investigation of the Baxter-Bazhanov-Stroganov or τ^{(2)}-model using the method of separation of variables [nlin/0603028,arXiv:0708.4342]. In this paper we derive…

nlin.SI2007★ 31 cited

Form-factors in the Baxter-Bazhanov-Stroganov model I: Norms and matrix elements

G. von Gehlen, N. Iorgov, S. Pakuliak +2

We continue our investigation of the Z_N-Baxter-Bazhanov-Stroganov model using the method of separation of variables [nlin/0603028]. In this paper we calculate the norms and matrix…

nlin.SI2007★ 3 cited

Eigenvectors of Baxter-Bazhanov-Stroganov τ^{(2)}(t_q) model with fixed-spin boundary conditions

N. Z. Iorgov, V. N. Shadura, Yu. V. Tykhyy

The aim of this contribution is to give the explicit formulas for the eigenvectors of the transfer-matrix of Baxter-Bazhanov-Stroganov (BBS) model (N-state spin model) with fixed-s…

math.QA2007★ 2 cited

Classification theorem on irreducible representations of the q-deformed algebra U'_q(so(n))

N. Z. Iorgov, A. U. Klimyk

The aim of this paper is to give a complete classification of irreducible finite dimensional representations of the nonstandard q-deformation U'_q(so(n)) (which does not coincide w…

nlin.SI2007★ 2 cited

Relativistic Toda Chain with Boundary Interaction at Root of Unity

Nikolai Iorgov, Vladimir Roubtsov, Vitaly Shadura +1

We apply the Separation of Variables method to obtain eigenvectors of commuting Hamiltonians in the quantum relativistic Toda chain at a root of unity with boundary interaction.