Three-dimensional higher-order Schrödinger algebras and Lie algebra expansions

DOI10.1007/JHEP04(2020)067zbMath1436.81057arXiv2002.03558OpenAlexW3005162266WikidataQ115390714 ScholiaQ115390714MaRDI QIDQ780713

Mehmet Ozkan, Nese Ozdemir, Utku Zorba, Oguzhan Kasikci

Publication date: 15 July 2020

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

Full work available at URL: https://arxiv.org/abs/2002.03558

zbMATH Keywords

classical theories of gravityChern-Simons theoriesspace-time symmetries

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Quantization of the gravitational field (83C45) Eta-invariants, Chern-Simons invariants (58J28)

Related Items (7)

Generalized Maxwellian exotic Bargmann gravity theory in three spacetime dimensions ⋮ Three-dimensional Maxwellian extended Newtonian gravity and flat limit ⋮ Non-relativistic and ultra-relativistic scaling limits of multimetric gravity ⋮ Non-relativistic and ultra-relativistic expansions of three-dimensional spin-3 gravity theories ⋮ Lie algebra expansion and integrability in superstring sigma-models ⋮ Non-relativistic three-dimensional supergravity theories and semigroup expansion method ⋮ Lie algebra expansions, non-relativistic matter multiplets and actions

Cites Work

• Generating Lie and gauge free differential (super)algebras by expanding Maurer-Cartan forms and Chern-Simons supergravity
• Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity
• Three-dimensional exotic Newtonian gravity with cosmological constant
• About the non-relativistic structure of the conformal algebra
• Lie algebra expansions and actions for non-relativistic gravity
• Three-dimensional extended Lifshitz, Schrödinger and Newton-Hooke supergravity
• Extended \(D = 3\) Bargmann supergravity from a Lie algebra expansion
• Three-dimensional extended Newtonian (super)gravity
• Non-relativistic gravity theory based on an enlargement of the extended Bargmann algebra
• Three-dimensional (higher-spin) gravities with extended Schrödinger and \(l\)-conformal Galilean symmetries
• Expansions of algebras and superalgebras and some applications
• Nonrelativistic conformal groups
• Torsional Newton–Cartan gravity from the large c expansion of general relativity
• Wess-Zumino Term for the AdS Superstring and Generalized Inonu-Wigner Contraction
• Gravity between Newton and Einstein

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