2016/12/31 by Eric Bergshoeff, Daniel Grumiller, Stefan Prohazka +1 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebra over a field #Algebra representation #Algebraic and Geometric Analysis #Algebraic number #Boundary (topology) #Construct (python library) #Contraction (grammar) #Focus (optics) #Lift (data mining) #Noncommutative and Quantum Gravity Theories #Simplicity #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep01(2017)114
published as J. High Energ. Phys. (2017) 2017: 114 · 32+12 pages, 2 figures; v2: 1 footnote, 4 refs; v3: 1 ref corrected, 1 ref updated
openalex publication_date 2017/01/01 · openalex created_date 2017/01/06 · arxiv created 2017/01/26 · arxiv updated 2017/01/30 · openalex updated_date 2026/08/06
We initiate the study of non- and ultra-relativistic higher spin theories. For sake of simplicity we focus on the spin-3 case in three dimensions. We classify all kinematical algebras that can be obtained by all possible Inönü-Wigner contraction procedures of the kinematical algebra of spin-3 theory in three dimensional (anti-) de Sitter space-time. We demonstrate how to construct associated actions of Chern-Simons type, directly in the ultra-relativistic case and by suitable algebraic extensions in the non-relativistic case. We show how to give these kinematical algebras an infinite-dimensional lift by imposing suitable boundary conditions in a theory we call “Carroll Gravity”, whose asymptotic symmetry algebra turns out to be an infinite-dimensional extension of the Carroll algebra.