T-duality in Affine NA Toda Models

Instituto de Física Teórica - IFT/UNESP Rua Pamplona
Czechoslovak Journal of Physics (Impact Factor: 0.42). 10/2004; 54(11):1281-1287. DOI: 10.1007/s10582-004-9790-2
Source: arXiv

ABSTRACT The construction of non-Abelian affine Toda models is discussed in terms of its underlying Lie algebraic structure. It is shown that a subclass of such non-conformal two-dimensional integrable models naturally leads to the construction of a pair of actions, which share the same spectra and are related by canonical transformations.

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    ABSTRACT: 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.
    Nuclear Physics B 11/2000; · 4.33 Impact Factor
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    ABSTRACT: A general construction of affine nonabelian (NA)-Toda models in terms of the axial and vector gauged two loop WZNW model is discussed. They represent integrable perturbations of the conformal σ-models (with tachyons included) describing (charged) black hole type string backgrounds. We study the off-critical T-duality between certain families of axial and vector type integrable models for the case of affine NA-Toda theories with one global U(1) symmetry. In particular we find the Lie algebraic condition defining a subclass of T-selfdual torsionless NA-Toda models and their zero curvature representation.
    Annals of Physics 07/2000; · 3.32 Impact Factor
  • B479 (1996) 594 6A Czech. V A Fateev, Nucl Phys .


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