On integrable boundaries in the 2 dimensional O(N) σ-models
On integrable boundaries in the 2 dimensional O(N) σ-models
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.
hep-th
Aniceto, Inês
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Bajnok, Zoltán
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Gombor, Tamás
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Kim, Minkyoo
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Palla, László
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11 August 2017
Aniceto, Inês
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Bajnok, Zoltán
dfb5caba-a6c2-45fa-88d3-8ffc74961853
Gombor, Tamás
5792702d-056c-49bc-8093-d89e6724d689
Kim, Minkyoo
c694385d-6b48-4d3f-8b05-42813457586f
Palla, László
cdf70151-bf90-4154-963b-17110ec8e129
Aniceto, Inês, Bajnok, Zoltán, Gombor, Tamás, Kim, Minkyoo and Palla, László
(2017)
On integrable boundaries in the 2 dimensional O(N) σ-models.
Journal of Physics A: Mathematical and Theoretical, 50, [364002].
(doi:10.1088/1751-8121/aa8205).
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.
Text
1706.05221
- Accepted Manuscript
More information
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: http://eprints.soton.ac.uk/id/eprint/424139
ISSN: 1751-8113
PURE UUID: a72a5aef-1fe6-4b29-b67b-08a2746be1e5
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Date deposited: 05 Oct 2018 11:30
Last modified: 16 Mar 2024 04:39
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Contributors
Author:
Zoltán Bajnok
Author:
Tamás Gombor
Author:
Minkyoo Kim
Author:
László Palla
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