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This dissertation is dedicated to the quantum aspects of higher spin gravities (HSGRAs) and to their underlining algebraic structures. Higher-spin theories are governed by infinite-dimensional symmetries called higher-spin symmetries. Higher-spin symmetry should be powerful enough to leave no room for any relevant counterterms.
Tran, Tung Vuong
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Supersymmetric quantum chiral higher spin gravity
We study quantum properties of supersymmetric N $$ \mathcal{N} $$ = 1 and N $$ \mathcal{N} $$ = 4 extensions of the four dimensional bosonic Chiral Higher Spin Gravities (HiSGRAs).
Mirian Tsulaia, Dorin Weissman
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Interactions in higher-spin gravity [PDF]
In this thesis we investigate aspects of higher-spin gravity on an anti-de Sitter (AdS) background. Such theories are believed to give an effective description of quantum gravity in its high energy regime, where there have been hints that a large underlying (higher-spin) symmetry may become restored.
Sleight, Charlotte
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We propose a hybrid class of theories for higher spin gravity and matrix models, i.e., which handle simultaneously higher spin gravity fields and matrix models.
Mauricio Valenzuela
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Higgs mechanism for gravity. II. Higher spin connections [PDF]
We continue the work of [Phys. Rev. D 72, 024001 (2005)] in which gravity is considered as the Goldstone realization of a spontaneously broken diffeomorphism group. We complete the discussion of the coset space $\mathrm{Diff}\text{ }(d,\mathbb{R})/SO(1,d\ensuremath{-}1)$ formed by the $d$-dimensional group of analytic diffeomorphisms and the Lorentz ...
Boulanger, Nicolas, Kirsch, I.
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Chaos in three-dimensional higher spin gravity [PDF]
We discuss SL(N, ℂ) Chern-Simons higher spin gauge theories in Euclidean AdS3. With appropriate boundary term, we derive the higher spin generalization of Schwarzian on-shell action. We investigate gravitationally dressed bi-locals, and we study the soft
Prithvi Narayan, Junggi Yoon
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Boundary freedom in higher spin gravity
We investigate new boundary conditions in three-dimensional asymptotically Anti–de Sitter gravity coupled to higher-spin fields, allowing for arbitrary boundary degrees of freedom.
Arnaud Delfante
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On the spectrum of pure higher spin gravity [PDF]
Abstract We study the spectrum of pure massless higher spin theories in AdS3. The light spectrum is given by a tower of massless particles of spin s = 2, ⋯ , N and their multi-particles states. Their contribution to the torus partition function organises into the vacuum character of the $$ {\mathcal{W}}_N $$
Alday, LF +3 more
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New conformal higher spin gravities in 3d [PDF]
Abstract We propose a new class of conformal higher spin gravities in three dimensions, which extends the one by Pope and Townsend. The main new feature is that there are infinitely many examples of the new theories with a finite number of higher spin fields, much as in the massless case. The action has the Chern-Simons form for a higher spin extension
Grigoriev, Maxim +2 more
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Chiral higher spin gravity [PDF]
We construct a candidate for the most general chiral higher spin theory with AdS$_3$ boundary conditions. In the Chern-Simons language, on the left it has the Drinfeld-Sokolov reduced form, but on the right all charges and chemical potentials are turned on. Altogether (for the spin-3 case) these are $19$ functions.
Krishnan, Chethan, Raju, Avinash
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