On the existence of an L\(\infty\) structure for the super-Virasoro algebra

DOI10.1007/JHEP01(2019)105zbMath1409.81140arXiv1809.10467MaRDI QIDQ667171

Ralph Blumenhagen, Max Brinkmann

Publication date: 12 March 2019

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

Full work available at URL: https://arxiv.org/abs/1809.10467

zbMATH Keywords

gauge symmetryconformal and W symmetry

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60)

Related Items (1)

Four-dimensional noncommutative deformations of U(1) gauge theory and \(L_\infty\) bootstrap.

Cites Work

• Introduction to conformal field theory. With applications to string theory
• Unitary representations of the Virasoro and super-Virasoro algebras
• Introduction to sh Lie algebras for physicists
• Bootstrapping non-commutative gauge theories from \(L_{\infty}\) algebras
• \( \mathcal{W} \) algebras are \(L_{\infty}\) algebras
• On the structure of quantum \(L_{ \infty}\) algebras
• \(L_{\infty}\) algebras for extended geometry from Borcherds superalgebras
• The Geometry of the Master Equation and Topological Quantum Field Theory
• The Conformal Bootstrap
• THE CONFORMAL BOOTSTRAP AND SUPER W ALGEBRAS
• On the uniqueness of L∞ bootstrap: Quasi-isomorphisms are Seiberg-Witten maps
• Strongly homotopy lie algebras
• algebras and field theory

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