The University of Southampton
University of Southampton Institutional Repository

On integrable boundaries in the 2 dimensional O(N) σ-models

Aniceto, Ines, Bajnok, Zoltan, Gombor, Tamas, Kim, Minkyoo and Palla, Laszlo (2017) On integrable boundaries in the 2 dimensional O(N) σ-models. Journal of Physics A: Mathematical and General, 50.

Record type: Article

Abstract

We make an attempt to map the integrable boundary conditions for 2 dimensional non-linear O(N) $\sigma$-models. We do it at various levels: classically, by demanding the existence of infinitely many conserved local charges and also by constructing the double row transfer matrix from the Lax connection, which leads to the spectral curve formulation of the problem; at the quantum level, we describe the solutions of the boundary Yang-Baxter equation and derive the Bethe-Yang equations. We then show how to connect the thermodynamic limit of the boundary Bethe-Yang equations to the spectral curve.

Full text not available from this repository.

Accepted/In Press date: 25 July 2017
Published date: 11 August 2017
Additional Information: Dedicated to the memory of Petr Kulish,
Keywords: hep-th

Identifiers

Local EPrints ID: 424139
URI: https://eprints.soton.ac.uk/id/eprint/424139
ISSN: 0305-4470
PURE UUID: a72a5aef-1fe6-4b29-b67b-08a2746be1e5

Catalogue record

Date deposited: 05 Oct 2018 11:30

Contributors

Author: Ines Aniceto
Author: Zoltan Bajnok
Author: Tamas Gombor
Author: Minkyoo Kim
Author: Laszlo Palla