Electrically charged topological solitons

Gomes, J. F.; Gueuvoghlanian, E. P.; Sotkov, G. M.; Zímerman, A. H.

doi:10.1016/s0550-3213(01)00211-5

Cited by 12 publications

(62 citation statements)

References 66 publications

(87 reference statements)

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“…All these results relied on the extensions of the Toda field theories proposed in [4,5,6], by the addition of extra fields to render them conformally invariant. Similar results were also obtained using Backlund transformations [7].…”

Section: Introductionsupporting

confidence: 85%

A simple formula for the conserved charges of soliton theories

Ferreira¹,

Zakrzewski²

2007

J. High Energy Phys.

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Additional information:Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. AbstractWe present a simple formula for all the conserved charges of soliton theories, evaluated on the solutions belonging to the orbit of the vacuum under the group of dressing transformations. For pedagogical reasons we perform the explicit calculations for the case of the sine-Gordon model, taken as a prototype of soliton theories. We show that the energy and momentum are boundary terms for all the solutions on the orbit of the vacuum. That orbit includes practically all the solutions of physical interest, namely solitons, multi-solitons, breathers, and combinations of solitons and breathers. The example of the mKdV equation is also given explicitly.

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Section: Introductionsupporting

confidence: 85%

A simple formula for the conserved charges of soliton theories

Ferreira¹,

Zakrzewski²

2007

J. High Energy Phys.

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“…In this paper, the soliton solutions of the axial A r case is presented in [9]. A subclass of T-selfdual non abelian affine Toda models have been established in connection with Kac-Moody algebras whose Dynkin diagram possess a "B r -tail like" [25], namely B (1) r , A (2) 2r and D (2) r+1 and coincide precisely with the models discussed by Fateev [26].…”

Section: Outlook and Further Developmentsmentioning

confidence: 88%

“…r−1 abelian affine Toda type ), the U(1) charged topological 1-solitons with spectra quite similar to the YMH dyons [9]. These dyonic type of solitons share many of the properties of the charged DWs in the N = 1 SYM for nonmaximal breaking SU(r+1) → SU(2)⊗U(1) r−1 .…”

Section: Introductionmentioning

confidence: 91%

Dyonic integrable models

et al. 2001

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A class of non abelian affine Toda models arising from the axial gauged two-loop WZW model is presented. Their zero curvature representation is constructed in terms of a graded Kac-Moody algebra. It is shown that the discrete multivacua structure of the potential together with non abelian nature of the zero grade subalgebra allows soliton solutions with non trivial electric and topological charges. The dressing transformation is employed to explicitly construct one and two soliton solutions and their bound states in terms of the tau functions. A discussion of the classical spectra of such solutions and the time delays are given in detail.

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“…It is natural to expect appropriately chosen non-abelian (NA) affine A n -Toda models [6] (and their N = 2 supersymmetric extension) to be the main tool in the description of DW with internal charges. Recently the U(1) charged topological solitons of certain singular affine NA-Toda models [7], [8] have been interpreted as U(1) charged dyonic DW of 4-D SU(n + 1) gauge theory. It is expected that such DW-2D soliton relation originates from the fact that specific symmetry reduction (reflecting DW properties) of SU(n + 1) self-dual YM (SDYM) equations reproduces the equations of motion of certain two dimensional integrable models (2-D IMs).…”

Section: Introductionmentioning

confidence: 99%

“…The simplest representative of such dyonic IM (with p = 1, i.e. one U(1) symmetry) is given by the Lagrangian [7] L p=1 n = 1 2…”

Section: Introductionmentioning

confidence: 99%

Multicharged dyonic integrable models

et al. 2002

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We introduce and study new integrable models (IMs) of A (1) n -Non-Abelian Toda type which admit U(1) ⊗ U(1) charged topological solitons. They correspond to the symmetry breaking SU(n + 1) → SU(2) ⊗ SU(2) ⊗ U(1) n−2 and are conjectured to describe charged dyonic domain walls of N = 1 SU(n + 1) SUSY gauge theory in large n limit. It is shown that this family of relativistic IMs corresponds to the first negative grade q = −1 member of a dyonic hierarchy of generalized cKP type. The explicit relation between the 1-soliton solutions (and the conserved charges as well ) of the IMs of grades q = −1 and q = 2 is found. The properties of the IMs corresponding to more general symmetry breaking SU(n + 1) → SU(2) ⊗p ⊗ U(1) n−p as well as IM with global SU(2) symmetries are discussed. 1

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Electrically charged topological solitons

Cited by 12 publications

References 66 publications

A simple formula for the conserved charges of soliton theories

A simple formula for the conserved charges of soliton theories

Dyonic integrable models

Multicharged dyonic integrable models

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