Higher grading conformal affine Toda theory and (generalized) sine-Gordon/massive Thirring duality

  title={Higher grading conformal affine Toda theory and (generalized) sine-Gordon/massive Thirring duality},
  author={H. Blas},
  journal={Journal of High Energy Physics},
  • H. Blas
  • Published 18 June 2003
  • Mathematics
  • Journal of High Energy Physics
Some properties of the higher grading integrable generalizations of the conformal affine Toda systems are studied. The fields associated to the non-zero grade generators are Dirac spinors. The effective action is written in terms of the Wess-Zumino-Novikov-Witten (WZNW) action associated to an affine Lie algebra, and an off-critical theory is obtained as the result of the spontaneous breakdown of the conformal symmetry. Moreover, the off-critical theory presents a remarkable equivalence between… 

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