On the uniqueness of L∞ bootstrap: Quasi-isomorphisms are Seiberg-Witten maps

DOI10.1063/1.5048352zbMath1404.81172arXiv1806.10314OpenAlexW2811142198MaRDI QIDQ4644657

Ralph Blumenhagen, Matthias Traube, Max Brinkmann, Vladislav G. Kupriyanov

Publication date: 8 January 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.10314

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items (17)

Symplectic embeddings, homotopy algebras and almost Poisson gauge symmetry ⋮ ‐Bootstrap Approach to Non‐Commutative Gauge Theories ⋮ What is the Seiberg–Witten map exactly? ⋮ Gauge theory on twist-noncommutative spaces ⋮ Poisson gauge models and Seiberg-Witten map ⋮ Non-commutative gauge symmetry from strong homotopy algebras ⋮ L ∞ -algebras of Einstein–Cartan–Palatini gravity ⋮ On the existence of an L\(\infty\) structure for the super-Virasoro algebra ⋮ \(L_{\infty}\) algebras and tensor hierarchies in exceptional field theory and gauged supergravity ⋮ Poisson gauge theory ⋮ \(\kappa\)-Minkowski-deformation of U(1) gauge theory ⋮ $L_\infty$ and $A_\infty$ structures: then and now ⋮ The \(L_{\infty}\)-algebra of the S-matrix ⋮ Open-string non-associativity in an R-flux background ⋮ Four-dimensional noncommutative deformations of U(1) gauge theory and \(L_\infty\) bootstrap. ⋮ Braided symmetries in noncommutative field theory ⋮ On the L_∞ structure of Poisson gauge theory

Cites Work

• Homotopy algebras inspired by classical open-closed string field theory
• Local BRST cohomology and Seiberg-Witten maps in noncommutative Yang-Mills theory
• sh-Lie algebras induced by gauge transformations
• Local BRST cohomology in gauge theories
• String theory and noncommutative geometry
• Bootstrapping non-commutative gauge theories from \(L_{\infty}\) algebras
• \( \mathcal{W} \) algebras are \(L_{\infty}\) algebras
• On the structure of quantum \(L_{ \infty}\) algebras
• The Geometry of the Master Equation and Topological Quantum Field Theory
• Strongly homotopy lie algebras
• algebras and field theory
• Loop homotopy algebras in closed string field theory

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