∞-Lie theory (higher geometry)
Background
Smooth structure
Higher groupoids
Lie theory
∞-Lie groupoids
∞-Lie algebroids
Formal Lie groupoids
Cohomology
Homotopy
Related topics
Examples
-Lie groupoids
-Lie groups
-Lie algebroids
-Lie algebras
algebraic quantum field theory (perturbative, on curved spacetimes, homotopical)
quantum mechanical system, quantum probability
interacting field quantization
(…)
Introduced in:
Martin Doubek, Branislav Jurčo, Ján Pulmann, Quantum L∞ Algebras and the Homological Perturbation Lemma Comm. Math. Phys. 367 (2019) 215–240 [arXiv:1712.02696, doi:10.1007/s00220-019-03375-x]
Branislav Jurčo, Tommaso Macrelli, Christian Sämann, Martin Wolf, Loop Amplitudes and Quantum Homotopy Algebras, Journal of High Energy Physics 2020 3 (2020) [doi:10.1007/JHEP07(2020)003, arXiv:1912.06695]
Review:
Branislav Jurčo, Hyungrok Kim, Tommaso Macrelli, Christian Saemann, Martin Wolf, Perturbative Quantum Field Theory and Homotopy Algebras, PoS (CORFU2019) 199 [arXiv:2002.11168, doi:10.22323/1.376.0199]
Sebastian Albrecht: Formulation of Batalin-Vilkovisky Field Theories as Homotopy Lie Algebras, Munich (2022) [pdf]
Created on January 14, 2023 at 08:00:57. See the history of this page for a list of all contributions to it.