scholarly journals Chaos in three-dimensional higher spin gravity

2019 ◽  
Vol 2019 (7) ◽  
Author(s):  
Prithvi Narayan ◽  
Junggi Yoon
2013 ◽  
Vol 30 (10) ◽  
pp. 104004 ◽  
Author(s):  
H Afshar ◽  
M Gary ◽  
D Grumiller ◽  
R Rashkov ◽  
M Riegler

2013 ◽  
Vol 46 (21) ◽  
pp. 214001 ◽  
Author(s):  
Martin Ammon ◽  
Michael Gutperle ◽  
Per Kraus ◽  
Eric Perlmutter

2013 ◽  
Vol 2013 (9) ◽  
Author(s):  
Hernán A. González ◽  
Javier Matulich ◽  
Miguel Pino ◽  
Ricardo Troncoso

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Emilio Ojeda ◽  
Alfredo Pérez

Abstract We introduce a new set of boundary conditions for three-dimensional higher spin gravity with gauge group SL(3, ℝ) × SL(3, ℝ), where its dynamics at the boundary is described by the members of the modified Boussinesq integrable hierarchy. In the asymptotic region the gauge fields are written in the diagonal gauge, where the excitations go along the generators of the Cartan subalgebra of sl(3, ℝ) ⊕ sl(3, ℝ). We show that the entire integrable structure of the modified Boussinesq hierarchy, i.e., the phase space, the Poisson brackets and the infinite number of commuting conserved charges, are obtained from the asymptotic structure of the higher spin theory. Furthermore, its known relation with the Boussinesq hierarchy is inherited from our analysis once the asymptotic conditions are re-expressed in the highest weight gauge. Hence, the Miura map is recovered from a purely geometric construction in the bulk. Black holes that fit within our boundary conditions, the Hamiltonian reduction at the boundary, and the generalization to higher spin gravity with gauge group SL(N, ℝ) × SL(N, ℝ) are also discussed.


2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Alexey Sharapov ◽  
Evgeny Skvortsov

Abstract We give a complete classification of dynamical invariants in 3d and 4d Higher Spin Gravity models, with some comments on arbitrary d. These include holographic correlation functions, interaction vertices, on-shell actions, conserved currents, surface charges, and some others. Surprisingly, there are a good many conserved p-form currents with various p. The last fact, being in tension with ‘no nontrivial conserved currents in quantum gravity’ and similar statements, gives an indication of hidden integrability of the models. Our results rely on a systematic computation of Hochschild, cyclic, and Chevalley-Eilenberg cohomology for the corresponding higher spin algebras. A new invariant in Chern-Simons theory with the Weyl algebra as gauge algebra is also presented.


2018 ◽  
Vol 168 ◽  
pp. 01007 ◽  
Author(s):  
Yasha Neiman

This contribution is a status report on a research program aimed at obtaining quantum-gravitational physics inside a cosmological horizon through dS/CFT, i.e. through a holographic description at past/future infinity of de Sitter space. The program aims to bring together two main elements. The first is the observation by Anninos, Hartman and Strominger that Vasiliev’s higher-spin gravity provides a working model for dS/CFT in 3+1 dimensions. The second is the proposal by Parikh, Savonije and Verlinde that dS/CFT may prove more tractable if one works in so-called “elliptic” de Sitter space – a folded-in-half version of global de Sitter where antipodal points have been identified. We review some relevant progress concerning quantum field theory on elliptic de Sitter space, higher-spin gravity and its holographic duality with a free vector model. We present our reasons for optimism that the approach outlined here will lead to a full holographic description of quantum (higher-spin) gravity in the causal patch of a de Sitter observer.


2015 ◽  
Vol 2015 (11) ◽  
Author(s):  
X. Bekaert ◽  
J. Erdmenger ◽  
D. Ponomarev ◽  
C. Sleight

2016 ◽  
Vol 2016 (5) ◽  
Author(s):  
Roberto Bonezzi ◽  
Nicolas Boulanger ◽  
Ergin Sezgin ◽  
Per Sundell

2011 ◽  
Vol 2011 (10) ◽  
Author(s):  
Arjun Bagchi ◽  
Shailesh Lal ◽  
Arunabha Saha ◽  
Bindusar Sahoo

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