Poisson-Lie T-duality

1995/09/21 by C. Klimčı́k, Ctirad Klimcik · 5 citations
Mathematics · Physics and Astronomy · #Abelian group #Advanced Topics in Algebra #Algebra over a field #Algebraic number #Dual (grammatical number) #Duality (order theory) #Homotopy and Cohomology in Algebraic Topology #Linguistics #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Philosophy #Poisson distribution #Presentation (obstetrics) #Pure mathematics #T-duality #hep-th

paper · pdf · doi:10.1016/0920-5632(96)00013-8

published as Nucl.Phys.Proc.Suppl.46:116-121,1996 · 11 pages, LaTeX, Lecture given at Trieste conference on S-duality and mirror symmetry, June 1995, (signs in Eqs. (10,11) corrected, 1 reference added)

arxiv created 1995/09/21 · openalex publication_date 1996/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A description of dual non-Abelian duality is given, based on the notion of the Drinfeld double. The presentation basically follows the original paper \citeKS2, written in collaboration with P. \v Severa, but here the emphasis is put on the algebraic rather than the geometric aspect of the construction and a concrete example of the Borelian double is worked out in detail.

Citations

• Some global aspects of duality in String Theory
• On non-abelian duality

Cited by

• Twists of trigonometric sigma models
• Poisson–Lie T-duality beyond the classical level and the renormalization group
• Three-parameter integrable deformation of ℤ4 permutation supercosets
• Effective Actions for σ‐Models of Poisson–Lie Type
• BTZ black hole from Poisson–Lie T-dualizable sigma models with spectators