2007/12/04 by Kayhan Ülker, Kayhan Ulker, Barış Yapışkan +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1103/physrevd.77.065006
published as Phys.Rev.D77:065006,2008 · 16 pages
arxiv created 2007/12/04 · openalex publication_date 2008/03/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
All order Seiberg-Witten maps of gauge parameter, gauge field, and matter fields are given as a closed recursive formula. These maps are obtained by analyzing the order by order solutions of the gauge consistency and equivalence conditions as well as by directly solving Seiberg-Witten differential equations. The explicit third order non-Abelian and fourth order Abelian Seiberg-Witten maps of gauge parameter and gauge field are also presented.