Quantum group symmetry in sine-Gordon and affine Toda field theories on the half-line

G.W. Delius; N.J. MacKay

doi:10.1007/s00220-002-0758-4

Quantum group symmetry in sine-Gordon and affine Toda field theories on the half-line

G.W. Delius, N.J. MacKay

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the sine-Gordon and affine Toda field theories on the half-line with classically integrable boundary conditions, and show that in the quantum theory a remnant survives of the bulk quantized affine algebra symmetry generated by non-local charges. The paper also develops a general framework for obtaining solutions of the reflection equation by solving an intertwining property for representations of certain coideal subalgebras of U q (g).

Original language	English
Pages (from-to)	173-190
Number of pages	17
Journal	Communications in Mathematical Physics
Volume	233
Issue number	1
DOIs	https://doi.org/10.1007/s00220-002-0758-4
Publication status	Published - Feb 2003

Keywords

S-MATRICES
BOUNDARY-CONDITIONS
YANGIAN SYMMETRY
SOLITONS
STATES
ALGEBRA
SYSTEMS
MODELS

Access to Document

10.1007/s00220-002-0758-4

http://dx.doi.org/10.1007/s00220-002-0758-4

Cite this

@article{f16fa5720a6d4db4b31defd29140e220,

title = "Quantum group symmetry in sine-Gordon and affine Toda field theories on the half-line",

abstract = "We consider the sine-Gordon and affine Toda field theories on the half-line with classically integrable boundary conditions, and show that in the quantum theory a remnant survives of the bulk quantized affine algebra symmetry generated by non-local charges. The paper also develops a general framework for obtaining solutions of the reflection equation by solving an intertwining property for representations of certain coideal subalgebras of U q (g).",

keywords = "S-MATRICES, BOUNDARY-CONDITIONS, YANGIAN SYMMETRY, SOLITONS, STATES, ALGEBRA, SYSTEMS, MODELS",

author = "G.W. Delius and N.J. MacKay",

year = "2003",

month = feb,

doi = "10.1007/s00220-002-0758-4",

language = "English",

volume = "233",

pages = "173--190",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer",

number = "1",

}

TY - JOUR

T1 - Quantum group symmetry in sine-Gordon and affine Toda field theories on the half-line

AU - Delius, G.W.

AU - MacKay, N.J.

PY - 2003/2

Y1 - 2003/2

N2 - We consider the sine-Gordon and affine Toda field theories on the half-line with classically integrable boundary conditions, and show that in the quantum theory a remnant survives of the bulk quantized affine algebra symmetry generated by non-local charges. The paper also develops a general framework for obtaining solutions of the reflection equation by solving an intertwining property for representations of certain coideal subalgebras of U q (g).

AB - We consider the sine-Gordon and affine Toda field theories on the half-line with classically integrable boundary conditions, and show that in the quantum theory a remnant survives of the bulk quantized affine algebra symmetry generated by non-local charges. The paper also develops a general framework for obtaining solutions of the reflection equation by solving an intertwining property for representations of certain coideal subalgebras of U q (g).

KW - S-MATRICES

KW - BOUNDARY-CONDITIONS

KW - YANGIAN SYMMETRY

KW - SOLITONS

KW - STATES

KW - ALGEBRA

KW - SYSTEMS

KW - MODELS

U2 - 10.1007/s00220-002-0758-4

DO - 10.1007/s00220-002-0758-4

M3 - Article

SN - 0010-3616

VL - 233

SP - 173

EP - 190

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 1

ER -