Tensor extension of the Poincaré algebra

Soroka, D.; Soroka, Vyacheslav

doi:10.1016/j.physletb.2004.12.075

Cited by 78 publications

(110 citation statements)

References 10 publications

Supporting

Mentioning

109

Contrasting

Order By: Relevance

“…This algebra has also been recovered from studying the Chevalley-Eilenberg cohomology of the Poincaré algebra [3,4], where also further non-central extensions have been identified. The algebraic structure can be embedded in a free Lie algebra construction as shown in [5] such that different quotients of the free Lie algebra yield the known relativistic Maxwell algebra or related extensions [6][7][8][9]. A similar analysis was undertaken for the supersymmetric theory in [10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Galilean free Lie algebras

Gomis

Kleinschmidt

Palmkvist

2019

J. High Energ. Phys.

View full text Add to dashboard Cite

We construct free Lie algebras which, together with the algebra of spatial rotations, form infinite-dimensional extensions of finite-dimensional Galilei Maxwell algebras appearing as global spacetime symmetries of extended non-relativistic objects and non-relativistic gravity theories. We show how various extensions of the ordinary Galilei algebra can be obtained by truncations and contractions, in some cases via an affine Kac-Moody algebra. The infinite-dimensional Lie algebras could be useful in the construction of generalized Newton-Cartan theories gravity theories and the objects that couple to them.

show abstract

Section: Introductionmentioning

confidence: 99%

Galilean free Lie algebras

Gomis

Kleinschmidt

Palmkvist

2019

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…16) In this analysis, several standard spectra of pure forms of porphyrins must first be selected. This was done by referring to typical standard spectra assigned previously to a monomeric form, another type of monomeric form protonated at the inner nitrogen atoms of monomeric porphyrin (abbreviated as a N-protonated monomer), and a dimeric form.…”

Section: Methodsmentioning

confidence: 99%

The Influence of Aggregation of Porphyrins on the Efficiency of Photogeneration of Hydrogen Peroxide in Aqueous Solution

Komagoe

Tamagake

Katsu

2006

CHEMICAL & PHARMACEUTICAL BULLETIN

View full text Add to dashboard Cite

The pH-dependence of the ability of coproporphyrin (CP) and uroporphyrin (UP) to photogenerate hydrogen peroxide (H 2 O 2 ) in aqueous solution was investigated, with special attention to the structure-activity relationship related to the aggregation of the porphyrins. It was found that the efficiency was strongly dependent on the aggregation of CP and UP mediated by changes in the pH of the solution, and a dimeric form had a weak ability to produce H 2 O 2 , while a highly aggregated form had a good ability. The increased efficiency of the highly aggregated porphyrin to produce H

show abstract

“…Since the momenta are not commuting, the quadratic Casimir P 2 is modified [2], see also [5] [34]. Its expression is:…”

Section: Description Of the K-contractionsmentioning

confidence: 99%

Contractions of the Maxwell algebra

Barducci

Casalbuoni

Gomis

2019

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

We construct all the possible non-relativistic, non-trivial, Galilei and Carroll kcontractions also known as k-1 p-brane contractions of the Maxwell algebra in D + 1 space-time dimensions. k has to do with the number of space-time dimensions one is contracting. For non-trivial solutions, we mean the ones with a non-abelian algebra of the momenta. We find in both cases, Galilei and Carroll, eight non trivial solutions. We also study the electromagnetic properties of the solutions, defined according to the scaling performed on the generators present in the Maxwell algebra. We find that besides the electric and magnetic contractions studied in the literature for k = 1, that are related to the magnetic and electric limit of the free Maxwell equations, there also exist contractions where the two types of fields are scaled in the same way.

show abstract

Tensor extension of the Poincaré algebra

Abstract: A tensor extension of the Poincaré algebra are proposed for the arbitrary dimensions. Casimir operators of the extension are constructed. A possible supersymmetric generalization of this extension are also found in the dimensions D = 2, 3, 4.

Cited by 78 publications

References 10 publications

Galilean free Lie algebras

Galilean free Lie algebras

The Influence of Aggregation of Porphyrins on the Efficiency of Photogeneration of Hydrogen Peroxide in Aqueous Solution

Contractions of the Maxwell algebra

Contact Info

Product

Resources

About