Details

Autor(en) / Beteiligte

• Bascone, Francesco
• Pezzella, Franco
• Vitale, Patrizia

Titel

Poisson-Lie T-duality of WZW model via current algebra deformation

Ist Teil von

• The journal of high energy physics, 2020-09, Vol.2020 (9), p.1-46, Article 60

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2020

Link zum Volltext

Quelle

Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals

Beschreibungen/Notizen

• A bstract Poisson-Lie T-duality of the Wess-Zumino-Witten (WZW) model having the group manifold of SU (2) as target space is investigated. The whole construction relies on the deformation of the affine current algebra of the model, the semi-direct sum su 2 ℝ ⊕ ⋅ a , to the fully semisimple Kac-Moody algebra sl 2 ℂ ℝ . A two-parameter family of models with SL (2, ℂ) as target phase space is obtained so that Poisson-Lie T-duality is realised as an O (3, 3) rotation in the phase space. The dual family shares the same phase space but its configuration space is SB (2, ℂ), the Poisson-Lie dual of the group SU (2). A parent action with doubled degrees of freedom on SL (2, ℂ) is defined, together with its Hamiltonian description.