2011/05/01 by Romain Squellari · 13 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebraic number #Algebraic structures and combinatorial models #Combinatorics #Computer science #Coset #Dual (grammatical number) #Duality (order theory) #Extension (predicate logic) #Generalization #Linguistics #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Nonlinear system #Philosophy #Physics #Poisson distribution #Pure mathematics #Quantum mechanics #Sigma #Sigma model #Statistics #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2011.07.025
published in Nuclear Physics B 853(2), 379-403 (Elsevier BV) · 24 pages
arxiv created 2011/05/01 · openalex publication_date 2011/08/15 · arxiv updated 2015/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present an alternative algebraic derivation of the dual pair of nonlinear σ-models based on the 'dressing cosets' extension of the Poisson-Lie T-duality \citeKS1. Then we generalize the result to dual pairs of Lagrangians not considered in \citeKS1. Our generalization turns out to incorporate the dualisable models constructed by Sfetsos in \citeSfet1.