Nonrelativistic spin3 symmetries in 2 +1 dimensions from expanded and extended NappiWitten algebras
Abstract
We show that infinite families of Galilean spin3 symmetries in 2 +1 dimensions, which include higherspin extensions of the Bargmann, NewtonHooke, nonrelativistic Maxwell, and nonrelativistic AdSLorentz algebras, can be obtained as Lie algebra expansions of two different spin3 extensions of the NappiWitten symmetry. These higherspin NappiWitten algebras, in turn, are obtained by means of InönüWigner contractions applied to suitable direct product extensions of s l (3 ,R ). Conversely, we show that the same result can be obtained by considering contractions of expanded s l (3 ,R ) algebras. The method can be used to define nonrelativistic higherspin ChernSimon gravity theories in 2 +1 dimensions in a systematic way.
 Publication:

Physical Review D
 Pub Date:
 March 2023
 DOI:
 10.1103/PhysRevD.107.064034
 arXiv:
 arXiv:2208.00602
 Bibcode:
 2023PhRvD.107f4034C
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 Mathematical Physics
 EPrint:
 44 pages, typos corrected, references added