Chern-Simons Holography: Boundary Conditions, Contractions and Double Extensions for a Journey Beyond Anti-de Sitter
arXiv:1710.11110
Abstract
In this thesis Chern-Simons theories based on Lie algebras with invariant metric are constructed. It is discussed how contractions lead systematically to (higher spin) kinematical algebras of, e.g., Poincaré, Galilei and Carroll type and how they can be extended to permit an invariant metric. A new generalization of the Inönü-Wigner contractions explains why the invariant metric stays nondegenerate in the ultra-relativistic limes to the Carroll algebras. Since asymptotic symmetries give a first glance of possible dual theories consistent boundary conditions for Lifshitz and null-warped higher spins and Carroll gravity are provided. Finally, selected higher spin generalizations will be examined on the linear level.
Extended version of the PhD thesis (original can be found at http://katalog.ub.tuwien.ac.at/AC14465154); Defended on 26th Sept. 2017; Supervised by Daniel Grumiller and Mirah Gary and based on arXiv:1404.1919, arXiv:1406.1468, arXiv:1509.08487, arXiv:1607.05360, arXiv:1612.02277, arXiv:1701.06573, arXiv:1703.02594; v2: Typos corrected
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