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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Modified algebraic Bethe ansatz for XXZ chain on the segment - III - Proof

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Author(s):
Avan, J. [1] ; Belliard, S. [1] ; Grosjean, N. [1] ; Pimenta, R. A. [2, 3]
Total Authors: 4
Affiliation:
[1] Univ Cergy Pontoise, Lab Phys Theor & Modelisat, CNRS, UMR 8089, F-95302 Cergy Pontoise - France
[2] Univ Fed Sao Carlos, Dept Fis, BR-13569905 Sao Carlos, SP - Brazil
[3] Univ Miami, Dept Phys, Coral Gables, FL 33124 - USA
Total Affiliations: 3
Document type: Journal article
Source: Nuclear Physics B; v. 899, p. 229-246, OCT 2015.
Web of Science Citations: 22
Abstract

In this paper, we prove the off-shell equation satisfied by the transfer matrix associated with the XXZ spin-1/2 chain on the segment with two generic integrable boundaries acting on the Bethe vector. The essential step is to prove that the expression of the action of a modified creation operator on the Bethe vector has an off-shell structure which results in an inhomogeneous term in the eigenvalues and Bethe equations of the corresponding transfer matrix. (C) 2015 The Authors. Published by Elsevier B.V. (AU)

FAPESP's process: 14/20364-0 - Exact solution of vertex models with open boundaries
Grantee:Rodrigo Alves Pimenta
Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
FAPESP's process: 14/09832-1 - Bethe ansatz for non-diagonal boundaries
Grantee:Antonio Lima Santos
Support Opportunities: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 14/00453-8 - Open boundary integrability: theory and applications
Grantee:Rodrigo Alves Pimenta
Support Opportunities: Scholarships in Brazil - Post-Doctoral