$L_{\infty}$-Algebras of Einstein-Cartan-Palatini Gravity

13 Oct 2020 Ćirić Marija Dimitrijević Giotopoulos Grigorios Radovanović Voja Szabo Richard J.

We give a detailed account of the cyclic $L_\infty$-algebra formulation of general relativity with cosmological constant in the Einstein-Cartan-Palatini formalism on spacetimes of arbitrary dimension and signature, which encompasses all symmetries, field equations and Noether identities of gravity without matter fields. We present a local formulation as well as a global covariant framework, and an explicit isomorphism between the two $L_\infty$-algebras in the case of parallelizable spacetimes... (read more)

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Categories


  • HIGH ENERGY PHYSICS - THEORY
  • GENERAL RELATIVITY AND QUANTUM COSMOLOGY
  • MATHEMATICAL PHYSICS
  • MATHEMATICAL PHYSICS
  • QUANTUM ALGEBRA