Conserved charged and soliton solutions in affine Toda theory

Freeman, Michael

doi:10.1016/0550-3213(94)00519-k

Cited by 15 publications

(26 citation statements)

References 34 publications

(57 reference statements)

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“…The soliton solutions and integrability properties of those models were extensively discussed in the literature [6,9,20,8,37] and we do not describe them here.…”

Section: Principal Gradationmentioning

confidence: 99%

Solitons, τ-functions and hamiltonian reduction for non-Abelian conformal affine Toda theories

1995

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We consider the Hamiltonian reduction of the two-loop Wess-Zumino-Novikov-Witten model (WZNW) based on an untwisted affine Kac-Moody algebraĜ. The resulting reduced models, called Generalized Non-Abelian Conformal Affine Toda (G-CAT), are conformally invariant and a wide class of them possesses soliton solutions; these models constitute non-abelian generalizations of the Conformal Affine Toda models. Their general solution is constructed by the Leznov-Saveliev method. Moreover, the dressing transformations leading to the solutions in the orbit of the vacuum are considered in detail, as well as the τ -functions, which are defined for any integrable highest weight representation ofĜ, irrespectively of its particular realization. When the conformal symmetry is spontaneously broken, the G-CAT model becomes a generalized Affine Toda model, whose soliton solutions are constructed. Their masses are obtained exploring the spontaneous breakdown of the conformal symmetry, and their relation to the fundamental particle masses is discussed.

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“…The soliton solutions and integrability properties of those models were extensively discussed in the literature [6,9,20,8,37] and we do not describe them here.…”

Section: Principal Gradationmentioning

confidence: 99%

Solitons, τ-functions and hamiltonian reduction for non-Abelian conformal affine Toda theories

1995

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“…This might perhaps be done by extending the abelianization formalism of Olive and Turok [17] to the situation with boundaries. Intuitively we expect the charges carried by the solitons to take the same values as on the whole line, determined by Freeman [9].…”

Section: Discussionmentioning

confidence: 81%

Soliton-preserving boundary condition in affine Toda field theories

Delius

1998

Physics Letters B

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We give a new integrable boundary condition in affine Toda theory which is soliton-preserving in the sense that a soliton hitting the boundary is reflected as a soliton. All previously known integrable boundary conditions forced a soliton to be converted into an antisoliton upon reflection. We prove integrability of our boundary condition using a generalization of Sklyanin's formalism.Comment: 9 page

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“…The same result was obtained in [2] by explicit calculations of the energy integral. By considering one of the light cone variables as the time, it was shown in [3] that the corresponding chiral charges are surface terms. 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.…”

Section: Introductionmentioning

confidence: 99%

“…A t (t, x = ∞) = A t (t, x = −∞) = −b 3 . From (4.40) one observes that the parameters ζ (−) n depend locally on q and its derivatives.…”

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confidence: 99%

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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Conserved charged and soliton solutions in affine Toda theory

Cited by 15 publications

References 34 publications

Solitons, τ-functions and hamiltonian reduction for non-Abelian conformal affine Toda theories

Solitons, τ-functions and hamiltonian reduction for non-Abelian conformal affine Toda theories

Soliton-preserving boundary condition in affine Toda field theories

A simple formula for the conserved charges of soliton theories

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