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2014-06-11 - Article/Dans un journal avec peer-review - Anglais - 26 page(s)

Sfetsos Konstadinos, Siampos Konstantinos, "Gauged WZW-type theories and the all-loop anisotropic non-Abelian Thirring model" in Nuclear Physics B, 885, 583-599

  • Edition : Elsevier (Netherlands)
  • Codes CREF : Physique théorique et mathématique (DI1210), Gravitation (DI1216)
  • Unités de recherche UMONS : Mécanique et gravitation (S884S)
  • Instituts UMONS : Institut de Recherche sur les Systèmes Complexes (Complexys)
  • Centres UMONS : Algèbre, Géométrie et Interactions fondamentales (AGIF)
Texte intégral :

Abstract(s) :

(Anglais) We study what we call the all-loop anisotropic bosonized Thirring sigma model. This interpolates between the WZW model and the non-Abelian T-dual of the principal chiral model for a simple group. It has an invariance involving the inversion of the matrix parametrizing the coupling constants. We compute the general renormalization group flow equations which assume a remarkably simple form and derive its properties. For symmetric couplings, they consistently truncate to previous results in the literature. One of the examples we provide gives rise to a first order system of differential equations interpolating between the Lagrange and the Darboux-Halphen integrable systems.