Poisson-Lie T-duality: the path-integral derivation

1995/12/31 by Eugene Tyurin, Rikard von Unge · 8 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1016/0370-2693(96)00680-6

published as Phys.Lett.B382:233-240,1996 · 16 pages, plain LaTeX 2e, one paragraph added to the conclusions; this is the final version accepted by Physics Letters B

arxiv created 1996/06/07 · openalex publication_date 1996/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We formulate Poisson-Lie T-duality in a path-integral manner that allows us to analyze the quantum corrections. Using the path-integral, we rederive the most general form of a Poisson-Lie dualizeable background and the generalized Buscher transformation rules it has to satisfy.

Citations

• Abelian and Non-Abelian Dualities in String Bacgrounds
• Non-abelian axial-vector duality: a geometric description

Cited by

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• Non-Abelian duality in the string effective action
• On quantum T-duality in σ models
• Comments on Dualities on Group Manifolds and Supersymmetry
• T-dualization of Gödel string cosmologies via Poisson–Lie T-duality approach
• Current algebras, generalised fluxes and non-geometry
• Poisson–Lie T-duality beyond the classical level and the renormalization group
• Quantum Correction to Generalized T Dualities
• BTZ black hole from Poisson–Lie T-dualizable sigma models with spectators