Expansions of algebras and superalgebras and some applications

DOI10.1007/s10773-007-9385-3zbMath1128.17004arXivhep-th/0703017OpenAlexW3104712589MaRDI QIDQ2464080

Oscar Varela, José A. de Azcárraga, José M. Izquierdo, Moisés Picón

Publication date: 10 December 2007

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0703017

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Applications of Lie (super)algebras to physics, etc. (17B81) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (39)

Generalized Maxwellian exotic Bargmann gravity theory in three spacetime dimensions ⋮ Three-dimensional Maxwellian extended Newtonian gravity and flat limit ⋮ Non-relativistic symmetries in three space-time dimensions and the Nappi-Witten algebra ⋮ Non-relativistic gravity theories in four spacetime dimensions ⋮ Three-dimensional hypergravity theories and semigroup expansion method ⋮ Maxwell superalgebras and abelian semigroup expansion ⋮ Three-dimensional exotic Newtonian gravity with cosmological constant ⋮ \(\mathfrak{so}(D-1,1)\oplus \mathfrak{so}(D-1,2)\) algebras and gravity ⋮ Non-Lorentzian expansions of the Lorentz force and kinematical algebras ⋮ Non-relativistic and ultra-relativistic scaling limits of multimetric gravity ⋮ Non-relativistic and ultra-relativistic expansions of three-dimensional spin-3 gravity theories ⋮ Infinite S-expansion with ideal subtraction and some applications ⋮ Extended kinematical 3D gravity theories ⋮ Generalized Wigner-Inönü contractions and Maxwell (super)algebras ⋮ BPS preons and the AdS-M-algebra ⋮ Minimal AdS-Lorentz supergravity in three-dimensions ⋮ Lie algebra expansion and integrability in superstring sigma-models ⋮ Einstein-Hilbert action with cosmological term from Chern-Simons gravity ⋮ Dual formulation of the Lie algebra S-expansion procedure ⋮ More on the hidden symmetries of 11D supergravity ⋮ Non-relativistic four dimensional p-brane supersymmetric theories and Lie algebra expansion ⋮ Gauged Wess-Zumino-Witten actions for generalized Poincaré algebras ⋮ Generating higher-order Lie algebras by expanding Maurer–Cartan forms ⋮ Eleven-dimensional gauge theory for the \(M\)-algebra as an abelian semigroup expansion of \(\mathfrak{osp} ( 32 | 1 )\) ⋮ Lie algebra expansions and actions for non-relativistic gravity ⋮ Non-relativistic three-dimensional supergravity theories and semigroup expansion method ⋮ Geometrical aspects of the Lie algebra S-expansion procedure ⋮ The Maxwell group in 2+1 dimensions and its infinite-dimensional enhancements ⋮ Three-dimensional extended Lifshitz, Schrödinger and Newton-Hooke supergravity ⋮ Extended \(D = 3\) Bargmann supergravity from a Lie algebra expansion ⋮ Three-dimensional Poincaré supergravity and \(\mathcal{N}\)-extended supersymmetric BMS\(_3\) algebra ⋮ Three-dimensional Maxwellian extended Bargmann supergravity ⋮ Three-dimensional higher-order Schrödinger algebras and Lie algebra expansions ⋮ Galilean free Lie algebras ⋮ The holographic c-theorem and infinite-dimensional Lie algebras ⋮ Lie algebra expansions, non-relativistic matter multiplets and actions ⋮ Boundary Heisenberg algebras and their deformations ⋮ Contractions of Filippov algebras ⋮ Generating infinite-dimensional algebras from loop algebras by expanding Maurer–Cartan forms

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