Solitons with isospin

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

doi:10.1016/j.nuclphysb.2005.02.024

Cited by 4 publications

(7 citation statements)

References 71 publications

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“…We also emphasize on the locality of the action (25) in constrast to what has been argued in the literature [6], [7], in the sense that the connection between the action and the equations of motion involves a non-local field transformation as in (33). 4 Examples Super sinh-Gordon Type Models 4.1 The N = 1 ŝl(2, 1) (2) -Model.…”

Section: 2mentioning

confidence: 99%

“…We expect this construction help us to have a better understanding of the intricate relation between supersymmetric Toda models and Lie superalgebras. 4 The Bosonic limit:…”

Section: Remarkmentioning

confidence: 99%

“…[2] a generalization of WZNW model with currents satisfying a two-loop Kac-Moody algebra was proposed and its reduction lead to the construction of conformal affine Toda models. A gauged two-loop WZNW version was considered in [3] in order to derive a class of dyonic (U (1)) integrable models and was further generalized for non abelian internal structure in [4].…”

Section: Introductionmentioning

confidence: 99%

“…The whole bosonic subalgebra, namely sl(p) ⊗ U (1) may be gauged away by constructing a subsequent gauged WZNW action similarly to one of ref. [4] resulting in a pure fermionic model. We develop explicitly the sl(2, 1) case and discuss its integrability.…”

Section: Introductionmentioning

confidence: 99%

“…The two terms involving covariant derivatives in (53) are clearly invariant. The last term was introduced in[4] within the coset structure sl(3)/sl(2) ⊗ u(1) and its invarince under the g 0 = sl(2) ⊗ u(1) was shown to lead to Isospin conservation laws.The invariance of the action (53) under (56) allows us to choose a gauge in which B ′ = I. Under such circunstances, we find…”

mentioning

confidence: 99%

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Super-WZNW with reductions to supersymmetric and fermionic integrable models

Gomes¹,

Schmidtt²,

Zímerman³

2009

Nuclear Physics B

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A systematic construction for an action describing a class of supersymmetric integrable models as well as for pure fermionic theories is discussed in terms of the gauged WZNW model associated to twisted affine Kac-Moody algebras. Explicit examples of the N = 1, 2 super sinh(sine)-Gordon models are discussed in detail. Pure fermionic theories arises for cosets sl(p, 1)/sl(p) ⊗ u(1) when a maximal kernel condition is fulfilled. The integrability condition for such models is discussed and it is shown that the simplest example when p = 2 leads to the constrained Bukhvostov-Lipatov, Thirring, scalar massive and pseudo-scalar massless Gross-Neveu models.

show abstract

Section: 2mentioning

confidence: 99%

“…We expect this construction help us to have a better understanding of the intricate relation between supersymmetric Toda models and Lie superalgebras. 4 The Bosonic limit:…”

Section: Remarkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

See 3 more Smart Citations

Super-WZNW with reductions to supersymmetric and fermionic integrable models

Gomes¹,

Schmidtt²,

Zímerman³

2009

Nuclear Physics B

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T-duality in massive integrable field theories: the homogeneous and complex sine-Gordon models

Miramontes

2004

Nuclear Physics B

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The T-duality symmetries of a family of two-dimensional massive integrable field theories defined in terms of asymmetric gauged Wess-Zumino-Novikov-Witten actions modified by a potential are investigated. These theories are examples of massive non-linear sigma models and, in general, T-duality relates two different dual sigma models perturbed by the same potential. When the unperturbed theory is self-dual, the duality transformation relates two perturbations of the same sigma model involving different potentials. Examples of this type are provided by the Homogeneous sine-Gordon theories, associated with cosets of the form G/U (1) r where G is a compact simple Lie group of rank r. They exhibit a duality transformation for each element of the Weyl group of G that relates two different phases of the model. On-shell, T-duality provides a map between the solutions to the equations of motion of the dual models that changes Noether soliton charges into topological ones. This map is carefully studied in the complex sine-Gordon model, where it motivates the construction of Bogomol'nyi-like bounds for the energy that provide a novel characterisation of the already known one-solitons solutions where their classical stability becomes explicit.

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Negative Even Grade mKdV Hierarchy and its Soliton Solutions

Gomes

Melo

França

et al. 2011

J. Phys.: Conf. Ser.

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In this paper we provide an algebraic construction for the negative even mKdV hierarchy which gives rise to time evolutions associated to even graded Lie algebraic structure. We propose a modification of the dressing method, in order to incorporate a non-trivial vacuum configuration and construct a deformed vertex operator forŝl(2), that enable us to obtain explicit and systematic solutions for the whole negative even grade equations.

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Solitons with isospin

Cited by 4 publications

References 71 publications

Super-WZNW with reductions to supersymmetric and fermionic integrable models

Super-WZNW with reductions to supersymmetric and fermionic integrable models

T-duality in massive integrable field theories: the homogeneous and complex sine-Gordon models

Negative Even Grade mKdV Hierarchy and its Soliton Solutions

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