Gauge semi-simple extension of the Poincaré group

Abstract

Based on the gauge semi-simple tensor extension of the D-dimensional Poincaré group another alternative approach to the cosmological term problem is proposed.

Non-relativistic symmetries in three space-time dimensions and the Nappi-Witten algebra

“…In fact, the simplest case n = 1 was shown to yield the extended Newton-Hooke symmetry and the corresponding Chern-Simons gravity theory described in [30] (with c 5 = c 2 ). For n = 2 we find a NR version of the semisimple extension of the Poincaré algebra introduced in [45,46]. Following [32], this algebra can be understood as a Maxwellian Exotic Newton-Hooke symmetry.…”

“…In the n = 2 case, the expanded Nappi-Witten algebra (4.1) corresponds to a NR version of the semi-simple extension of the Poincaré symmetry [46,60] in 2+1 dimensions. This extension is usually referred to as AdS-Lorentz algebra, for it defines a deformation of the Maxwell symmetry isomorphic to so(2, 2) ⊕ so(2, 1) [45].…”

Maxwell Symmetries and Some Applications

“…The locally Maxwell-invariant gravity model in ref. [12] contains a rather controversial torsion squared term, and the Maxwell-invariant extensions proposed in ref. [13] differ from the Einstein Lagrangian (10) only by a topological term i.e., the Einstein field equations remain unaltered.…”

Gauged Wess–Zumino–Witten actions for generalized Poincaré algebras

“…[26][27][28][29]) in terms of better known procedures (Lie algebra expansion, see Refs. [30][31][32][33]).…”