T-dualities and Doubled Geometry of the Principal Chiral Model

Vincenzo E. Marotta, Franco Pezzella*, Patrizia Vitale

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)
20 Downloads (Pure)


The Principal Chiral Model (PCM) defined on the group manifold of SU(2) is here investigated with the aim of getting a further deepening of its relation with Generalized Geometry and Doubled Geometry. A one-parameter family of equivalent Hamiltonian descriptions is analysed, and cast into the form of Born geometries. Then O(3, 3) duality transformations of the target phase space are performed and we show that the resulting dual models are defined on the group SB(2, ℂ) which is the Poisson-Lie dual of SU(2) in the Iwasawa decomposition of the Drinfel’d double SL(2, ℂ). A parent action with doubled degrees of freedom and configuration space SL(2, ℂ) is then defined that reduces to either one of the dually related models, once suitable constraints are implemented.

Original languageEnglish
Article number60
JournalJournal of High Energy Physics
Issue number11
Early online date11 Nov 2019
Publication statusPublished - Nov 2019


  • Differential and Algebraic Geometry
  • Sigma Models
  • String Duality

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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