Beyond the standard gauging: gauge symmetries of Dirac Sigma Models - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of High Energy Physics Année : 2016

Beyond the standard gauging: gauge symmetries of Dirac Sigma Models

Athanasios Chatzistavrakidis
  • Fonction : Auteur
Andreas Deser
  • Fonction : Auteur
Larisa Jonke
  • Fonction : Auteur

Résumé

In this paper we study the general conditions that have to be met for a gauged extension of a two-dimensional bosonic σ-model to exist. In an inversion of the usual approach of identifying a global symmetry and then promoting it to a local one, we focus directly on the gauge symmetries of the theory. This allows for action functionals which are gauge invariant for rather general background fields in the sense that their invariance conditions are milder than the usual case. In particular, the vector fields that control the gauging need not be Killing. The relaxation of isometry for the background fields is controlled by two connections on a Lie algebroid L in which the gauge fields take values, in a generalization of the common Lie-algebraic picture. Here we show that these connections can always be determined when L is a Dirac structure in the H-twisted Courant algebroid. This also leads us to a derivation of the general form for the gauge symmetries of a wide class of two-dimensional topological field theories called Dirac σ-models, which interpolate between the G/G Wess-Zumino-Witten model and the (Wess-Zumino-term twisted) Poisson sigma model.

Dates et versions

hal-01553972 , version 1 (03-07-2017)

Identifiants

Citer

Athanasios Chatzistavrakidis, Andreas Deser, Larisa Jonke, Thomas Strobl. Beyond the standard gauging: gauge symmetries of Dirac Sigma Models. Journal of High Energy Physics, 2016, 08, pp.172. ⟨10.1007/JHEP08(2016)172⟩. ⟨hal-01553972⟩
65 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More