Asymptotic Symmetry Algebras in Non-Anti-de-Sitter Higher-Spin Gauge Theories

Oct, 2012
53 pages
Supervisor:
Thesis: Master
  • Vienna, Tech. U.
(2012)
e-Print:

Citations per year

201220132014201520164012
Abstract: (arXiv)
We analyze asymptotic symmetry algebras in (2+1)-dimensional non-AdS higher-spin gravity with a focus on AdS2×R_2\times\mathbb{R} and H2×R\mathbb{H}_2\times\mathbb{R}. We find a consistent set of boundary conditions for spin-3 gravity in the non-principal embedding and calculate the corresponding asymptotic symmetry algebra in the classical and quantum mechanical case. In addition, we check for unitary representations of the resulting quantum W3(2)\mathcal{W}_3^{(2)} algebra and give an interpretation of the corresponding CFT.
Note:
  • 53 pages, 1 figure, (master's thesis/ defended on October 3rd, 2012)
  • field theory: conformal
  • algebra
  • gauge field theory
  • anti-de Sitter