L ∞ -algebras of Einstein–Cartan–Palatini gravity

DOI10.1063/5.0011344zbMath1455.83021arXiv2003.06173OpenAlexW3011033016MaRDI QIDQ5141136

Voja Radovanović, Grigorios Giotopoulos, Marija Dimitrijević Ćirić, Richard J. Szabo

Publication date: 17 December 2020

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

Full work available at URL: https://arxiv.org/abs/2003.06173

zbMATH Keywords

Chern-Simons theorystring theorygraded Lie algebraflux compactificationNoether identitiesEinstein-Cartan-Palatini gravitylow-energy effective dynamicsnoncommutative deformation of gravity

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Supergravity (83E50) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Gravitational interaction in quantum theory (81V17) Quantization of the gravitational field (83C45) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Kaluza-Klein and other higher-dimensional theories (83E15) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Methods of noncommutative geometry in general relativity (83C65) Eta-invariants, Chern-Simons invariants (58J28) Dimensional compactification in quantum field theory (81T33)

Related Items (11)

Braided quantum electrodynamics ⋮ Gauge theories on quantum spaces ⋮ Notes on the \(L_\infty\)-approach to local gauge field theories ⋮ Poisson gauge theory ⋮ Exceptional Jordan matrix models, octonionic strings/branes and star product deformations ⋮ Braided \(L_{\infty}\)-algebras, braided field theory and noncommutative gravity ⋮ Batalin-Vilkovisky quantization of fuzzy field theories ⋮ Four-dimensional noncommutative deformations of U(1) gauge theory and \(L_\infty\) bootstrap. ⋮ On the \(L_\infty\) formulation of Chern-Simons theories ⋮ Braided symmetries in noncommutative field theory ⋮ On the L_∞ structure of Poisson gauge theory

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