Classically integrable boundary conditions for symmetric-space sigma models

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From the same journal

Physics Letters B (Journal)
Mike Bentley (Reviewer)
2008 → …
Activity: Publication peer-review and editorial work › Journal peer review
Physics Letters B : Particle Physics, Nuclear Physics and Cosmology (Journal)
Jacek Jan Dobaczewski (Reviewer)
1987 → …
Activity: Publication peer-review and editorial work › Journal or guest editorship

Research output: Contribution to journal › Article

Published copy (DOI)

10.1016/j.physletb.2004.03.037

Author(s)

Department/unit(s)

Mathematics

Publication details

Journal	Physics Letters B
Date	Published - 27 May 2004
Issue number	3-4
Volume	588
Number of pages	7
Pages (from-to)	221-227
Original language	English

Abstract

We investigate boundary conditions for the non-linear sigma model on the compact symmetric space G/H. The Poisson brackets and the classical local conserved charges necessary for integrability are preserved by boundary conditions which correspond to involutions which commute with the involution defining H. Applied to SO(3)/SO(2), the non-linear sigma model on S-2, these yield the great circles as boundary submanifolds. Applied to G x G/G, they reproduce known results for the principal chiral model. (C) 2004 Elsevier B.V. All rights reserved.

Research areas

HALF-LINE, MATRICES

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By the same authors

Quantum, higher-spin, local charges in symmetric space sigma models

Bootstrapping the Battle of Britain

Nested Algebraic Bethe Ansatz for Open Spin Chains with Even Twisted Yangian Symmetry

The Attrition Dynamics of Multilateral War

When Lanchester met Richardson: The interaction of warfare with psychology

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A direct measurement of the 17O(α,γ)21Ne reaction in inverse kinematics and its impact on heavy element production

Isospin dependence of electromagnetic transition strengths among an isobaric triplet

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Discovery of ⁶⁸Br in secondary reactions of radioactive beams

From the same journal

Physics Letters B (Journal)

Physics Letters B : Particle Physics, Nuclear Physics and Cosmology (Journal)