Massive integrable soliton theories

Timothy J. Hollowood; J. Luis Miramontes; Q. Han Park

doi:10.1016/0550-3213(95)00142-F

Massive integrable soliton theories

Timothy J. Hollowood, J. Luis Miramontes, Q. Han Park

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

39 Citations (Scopus)

Abstract

Massive integrable field theories in 1 + 1 dimensions are defined at the Lagrangian level, whose classical equations of motion are related to the "non-abelian" Toda field equations. They can be thought of as generalizations of the sine-Gordon and complex sine-Gordon theories. The fields of the theories take values in a non-abelian Lie group and it is argued that the coupling constant is quantized, unlike the situation in the sine-Gordon theory, which is a special case since its field takes values in an abelian group. It is further shown that these theories correspond to perturbations of certain coset conformal field theories. The solitons in the theories will, in general, carry non-abelian charges.

Original language	English
Pages (from-to)	451-468
Number of pages	18
Journal	Nuclear Physics, Section B
Volume	445
Issue number	2-3
DOIs	https://doi.org/10.1016/0550-3213(95)00142-F
Publication status	Published - 1995 Jul 10
Externally published	Yes

Bibliographical note

Funding Information:
T.J.H. would like to thank Ioannis Bakas for explaining his work and Jonathan Evans for useful conversations. LL.M. thanks Luiz Ferreira for his enlightening comments. Q.P. is supported partly by KOSEE Kyunghee Univ. and BSRI-94-2442. LL.M. is supported partially by CICYT (AEN93-0729) and DGICYT (PB90-0772). T.J.H. is supported by a PPARC Advanced Fellowship.

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0550-3213(95)00142-F

Cite this

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title = "Massive integrable soliton theories",

abstract = "Massive integrable field theories in 1 + 1 dimensions are defined at the Lagrangian level, whose classical equations of motion are related to the {"}non-abelian{"} Toda field equations. They can be thought of as generalizations of the sine-Gordon and complex sine-Gordon theories. The fields of the theories take values in a non-abelian Lie group and it is argued that the coupling constant is quantized, unlike the situation in the sine-Gordon theory, which is a special case since its field takes values in an abelian group. It is further shown that these theories correspond to perturbations of certain coset conformal field theories. The solitons in the theories will, in general, carry non-abelian charges.",

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doi = "10.1016/0550-3213(95)00142-F",

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AU - Hollowood, Timothy J.

AU - Miramontes, J. Luis

AU - Park, Q. Han

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Y1 - 1995/7/10

N2 - Massive integrable field theories in 1 + 1 dimensions are defined at the Lagrangian level, whose classical equations of motion are related to the "non-abelian" Toda field equations. They can be thought of as generalizations of the sine-Gordon and complex sine-Gordon theories. The fields of the theories take values in a non-abelian Lie group and it is argued that the coupling constant is quantized, unlike the situation in the sine-Gordon theory, which is a special case since its field takes values in an abelian group. It is further shown that these theories correspond to perturbations of certain coset conformal field theories. The solitons in the theories will, in general, carry non-abelian charges.

AB - Massive integrable field theories in 1 + 1 dimensions are defined at the Lagrangian level, whose classical equations of motion are related to the "non-abelian" Toda field equations. They can be thought of as generalizations of the sine-Gordon and complex sine-Gordon theories. The fields of the theories take values in a non-abelian Lie group and it is argued that the coupling constant is quantized, unlike the situation in the sine-Gordon theory, which is a special case since its field takes values in an abelian group. It is further shown that these theories correspond to perturbations of certain coset conformal field theories. The solitons in the theories will, in general, carry non-abelian charges.

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DO - 10.1016/0550-3213(95)00142-F

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JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 2-3

ER -

Massive integrable soliton theories

Abstract

Bibliographical note

ASJC Scopus subject areas

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