Duality in complex sine-Gordon theory

Q. Han Park; H. J. Shin

doi:10.1016/0370-2693(95)01032-L

Duality in complex sine-Gordon theory

Q. Han Park, H. J. Shin

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

27 Citations (Scopus)

Abstract

New aspects of the complex sine-Gordon theory are addressed through the reformulation of the theory in terms of the gauged Wess-Zumino-Witten action. A dual transformation between the theory for the coupling constant β > 0 and the theory for β < 0 is given which agrees with the Krammers-Wannier duality in the context of perturbed conformal field theory. The Bäcklund transform and the nonlinear superposition rule for the complex sine-Gordon theory are presented, from which exact solutions, solitons and breathers with U(1) charge, are derived. We clarify the topological and nontopological nature of neutral and charged solitons respectively, and discuss the duality between the vector and the axial U(1) charges.

Original language	English
Pages (from-to)	125-132
Number of pages	8
Journal	Physics Letters B
Volume	359
Issue number	1-2
DOIs	https://doi.org/10.1016/0370-2693(95)01032-L
Publication status	Published - 1995 Oct 5
Externally published	Yes

Bibliographical note

Funding Information:
We would like to thank I. Bakas, R. Sasaki and T. Hollowood for discussion. This work was supported in part by the program of Basic Science Research, Ministry of Education BSRI-95-2442, and by the Korea Science and Engineering Foundation through CTP/SNU and the Korea-Japan Cooperative Science Program.

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1016/0370-2693(95)01032-L

Cite this

@article{4b66e6bd987743979146206398adc4af,

title = "Duality in complex sine-Gordon theory",

abstract = "New aspects of the complex sine-Gordon theory are addressed through the reformulation of the theory in terms of the gauged Wess-Zumino-Witten action. A dual transformation between the theory for the coupling constant β > 0 and the theory for β < 0 is given which agrees with the Krammers-Wannier duality in the context of perturbed conformal field theory. The B{\"a}cklund transform and the nonlinear superposition rule for the complex sine-Gordon theory are presented, from which exact solutions, solitons and breathers with U(1) charge, are derived. We clarify the topological and nontopological nature of neutral and charged solitons respectively, and discuss the duality between the vector and the axial U(1) charges.",

author = "Park, {Q. Han} and Shin, {H. J.}",

note = "Funding Information: We would like to thank I. Bakas, R. Sasaki and T. Hollowood for discussion. This work was supported in part by the program of Basic Science Research, Ministry of Education BSRI-95-2442, and by the Korea Science and Engineering Foundation through CTP/SNU and the Korea-Japan Cooperative Science Program.",

year = "1995",

month = oct,

day = "5",

doi = "10.1016/0370-2693(95)01032-L",

language = "English",

volume = "359",

pages = "125--132",

journal = "Physics Letters B",

issn = "0370-2693",

publisher = "Elsevier B.V.",

number = "1-2",

}

TY - JOUR

T1 - Duality in complex sine-Gordon theory

AU - Park, Q. Han

AU - Shin, H. J.

N1 - Funding Information: We would like to thank I. Bakas, R. Sasaki and T. Hollowood for discussion. This work was supported in part by the program of Basic Science Research, Ministry of Education BSRI-95-2442, and by the Korea Science and Engineering Foundation through CTP/SNU and the Korea-Japan Cooperative Science Program.

PY - 1995/10/5

Y1 - 1995/10/5

N2 - New aspects of the complex sine-Gordon theory are addressed through the reformulation of the theory in terms of the gauged Wess-Zumino-Witten action. A dual transformation between the theory for the coupling constant β > 0 and the theory for β < 0 is given which agrees with the Krammers-Wannier duality in the context of perturbed conformal field theory. The Bäcklund transform and the nonlinear superposition rule for the complex sine-Gordon theory are presented, from which exact solutions, solitons and breathers with U(1) charge, are derived. We clarify the topological and nontopological nature of neutral and charged solitons respectively, and discuss the duality between the vector and the axial U(1) charges.

AB - New aspects of the complex sine-Gordon theory are addressed through the reformulation of the theory in terms of the gauged Wess-Zumino-Witten action. A dual transformation between the theory for the coupling constant β > 0 and the theory for β < 0 is given which agrees with the Krammers-Wannier duality in the context of perturbed conformal field theory. The Bäcklund transform and the nonlinear superposition rule for the complex sine-Gordon theory are presented, from which exact solutions, solitons and breathers with U(1) charge, are derived. We clarify the topological and nontopological nature of neutral and charged solitons respectively, and discuss the duality between the vector and the axial U(1) charges.

UR - http://www.scopus.com/inward/record.url?scp=0010919375&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(95)01032-L

DO - 10.1016/0370-2693(95)01032-L

M3 - Article

AN - SCOPUS:0010919375

SN - 0370-2693

VL - 359

SP - 125

EP - 132

JO - Physics Letters B

JF - Physics Letters B

IS - 1-2

ER -

Duality in complex sine-Gordon theory

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this