On the structure of quantum \(L_{ \infty}\) algebras

DOI10.1007/JHEP10(2017)163zbMath1383.83154arXiv1706.09034OpenAlexW2725179273MaRDI QIDQ1709370

Matthias Traube, Michael Fuchs, Ralph Blumenhagen

Publication date: 27 March 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.09034

zbMATH Keywords

conformal symmetryconformal field models in string theoryW symmetry

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) String and superstring theories in gravitational theory (83E30)

Related Items (5)

Worldline quantization of field theory, effective actions and \(L_{\infty}\) structure ⋮ Bootstrapping non-commutative gauge theories from \(L_{\infty}\) algebras ⋮ 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 ⋮ On the uniqueness of L∞ bootstrap: Quasi-isomorphisms are Seiberg-Witten maps

Cites Work

• Unnamed Item
• Unnamed Item
• Conformal field theory
• Introduction to conformal field theory. With applications to string theory
• Introduction to sh Lie algebras for physicists
• sh-Lie algebras induced by gauge transformations
• Wilsonian effective action of superstring theory
• \( \mathcal{W} \) algebras are \(L_{\infty}\) algebras
• Extended Riemannian geometry. I: Local double field theory
• algebras and field theory
• Loop homotopy algebras in closed string field theory

This page was built for publication: On the structure of quantum \(L_{ \infty}\) algebras