Exact S-matrices for d_n+1^(2) affine Toda solitons and their bound states

G. M. Gandenberger; Niall MacKay

doi:10.1016/0550-3213(95)00462-9

Exact S-matrices for d_n+1^(2) affine Toda solitons and their bound states

G. M. Gandenberger, Niall MacKay

Mathematics

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

Abstract

We conjecture an exact S-matrix for the scattering of solitons in d(2)n+1 affine Toda field theory in terms of the R-matrix of the quantum group Uq(c(1)n). From this we construct the scattering amplitudes for all scalar bound states (breathers) of the theory. This S-matrix conjecture is justified by detailed examination of its pole structure. We show that a breather-particle identification holds by comparing the S-matrix elements for the lowest breathers with the S-matrix for the quantum particles in real affine Toda field theory, and discuss the implications for various forms of duality.

Original language	English
Pages (from-to)	240-272
Number of pages	33
Journal	Nuclear Physics B
Volume	457
Issue number	1-2
DOIs	https://doi.org/10.1016/0550-3213(95)00462-9
Publication status	Published - 18 Dec 1995

Access to Document

10.1016/0550-3213(95)00462-9

http://arxiv.org/abs/hep-th/9506169

Cite this

@article{19ad08252e1e489db128ed3edde56f1b,

title = "Exact S-matrices for d_n+1^(2) affine Toda solitons and their bound states",

abstract = "We conjecture an exact S-matrix for the scattering of solitons in d(2)n+1 affine Toda field theory in terms of the R-matrix of the quantum group Uq(c(1)n). From this we construct the scattering amplitudes for all scalar bound states (breathers) of the theory. This S-matrix conjecture is justified by detailed examination of its pole structure. We show that a breather-particle identification holds by comparing the S-matrix elements for the lowest breathers with the S-matrix for the quantum particles in real affine Toda field theory, and discuss the implications for various forms of duality.",

author = "Gandenberger, {G. M.} and Niall MacKay",

year = "1995",

month = dec,

day = "18",

doi = "10.1016/0550-3213(95)00462-9",

language = "English",

volume = "457",

pages = "240--272",

journal = "Nuclear Physics B",

issn = "1873-1562",

publisher = "Elsevier",

number = "1-2",

}

TY - JOUR

T1 - Exact S-matrices for d_n+1^(2) affine Toda solitons and their bound states

AU - Gandenberger, G. M.

AU - MacKay, Niall

PY - 1995/12/18

Y1 - 1995/12/18

N2 - We conjecture an exact S-matrix for the scattering of solitons in d(2)n+1 affine Toda field theory in terms of the R-matrix of the quantum group Uq(c(1)n). From this we construct the scattering amplitudes for all scalar bound states (breathers) of the theory. This S-matrix conjecture is justified by detailed examination of its pole structure. We show that a breather-particle identification holds by comparing the S-matrix elements for the lowest breathers with the S-matrix for the quantum particles in real affine Toda field theory, and discuss the implications for various forms of duality.

AB - We conjecture an exact S-matrix for the scattering of solitons in d(2)n+1 affine Toda field theory in terms of the R-matrix of the quantum group Uq(c(1)n). From this we construct the scattering amplitudes for all scalar bound states (breathers) of the theory. This S-matrix conjecture is justified by detailed examination of its pole structure. We show that a breather-particle identification holds by comparing the S-matrix elements for the lowest breathers with the S-matrix for the quantum particles in real affine Toda field theory, and discuss the implications for various forms of duality.

U2 - 10.1016/0550-3213(95)00462-9

DO - 10.1016/0550-3213(95)00462-9

M3 - Article

SN - 1873-1562

VL - 457

SP - 240

EP - 272

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1-2

ER -