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Non-abelian axial-vector duality: a geometric description

1995/07/31 by Eugene Tyurin · 2 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1016/0370-2693(95)01245-1

published as Phys.Lett.B364:157-162,1995 · 10 pages, plain LaTeX 2e. The paper (and conclusions) is significantly revised due to a misprint in one of the references. If you read the old version, you SHOULD get this one

arxiv created 1995/08/09 · openalex publication_date 1995/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a geometric characterization of the quasi axial-vector (Kiritsis-Obers) target space duality in the spirit of the bi-algebra (Klimcik-Severa) approach. We show that the sigma-models constructed by taking quotients have non-abelian chiral currents that obey "non-commutative conservation laws" and provide the criterion for a sigma-model to have a dual using the axial-vector procedure.

Citations

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