Conical defects in higher spin theories

By A. Castro, Rajesh Gopakumar, M. Gutperle, J. Raeymaekers. 2011

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A bstractWe study conical defect geometries in the SL(N,$ \mathbb{R} $) × SL(N,$ \mathbb{R} $) (and SL(N,$ \mathbb{C} $)) Chern-Simons formulation of higher spin gauge theories in AdS3. We argue that (for N ≥ 4) there are special values of the deficit angle for which these geometries are actually smooth configurations of the underlying theory. We also exhibit a gauge in which these geometries can be viewed as wormholes interpolating between two distinct asymptotically AdS3 spacetimes. Remarkably, the spectrum of smooth SL(N,$ \mathbb{C} $) solutions, after an appropriate analytic continuation, exactly matches that of the so-called “light primaries” in the minimal model $ {\mathcal{W}_N} $ CFTs at finite N. This gives a candidate bulk interpretation of the latter states in the holographic duality proposed in [1].

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/4a4efb5b88e3cee87313dfe26b4f86d64bc43274

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Citations in the corpus

Higher spin black holes from CFT (2012, background): “In the large N limit, the detailed microscopics of this proposal are supported by symmetries [14], the spectrum of primaries [15], and certain correlation functions [16, 17, 18, 19, 20]; at finite N some new ingredients may be required in the bulk (or perhaps can be found within the Vasiliev theory ”
Thermodynamics of higher spin black holes in AdS3 (2013, background): “4) Following [15, 16] we define smooth black hole solutions to be those for which the holonomy of the connection around the contractible cycle of the constant-ρ torus is trivial, which is achieved if the holonomy belongs to the center of the gauge group [17, 40].”
Minimal model holography (2012, background): “This is mirrored by the fact that the Vasiliev gravity theory has other saddle point solutions [33] (see section 5.”
Low-dimensional de Sitter quantum gravity (2019, background): “Thus we see that both for Euclidean AdS3 gravity and Lorentzian dS3 gravity the gauge group of the Chern-Simons formulation is PSL(2; C) (see [68, 70]).”
Black holes in three dimensional higher spin gravity: a review (2012, background): “For recent progress towards resolving these questions, and a slight modification of the original conjecture of [49], see [50,58].”
A theory of reparameterizations for AdS3 gravity (2018, background): “To our knowledge this was first noted in [50].”
Thermodynamics of higher spin black holes in 3D (2012, methodology): “This means that the phase structure for solutions carrying higher spin charges will be intricate, and contributions from conical defect-like states may also become relevant [48].”
Higher spins & strings (2014, background): “Note that, in particular, all the ‘small’ twists in U(N) that correspond to the so-called ‘light states’ of the cosets do not survive — thus by embedding the higher spin theory into string theory, the ‘non-perturbative’ states of the higher spin theory that are dual to the light states [32] do not l”
Triality in minimal model holography (2012, background): “Let us now apply the insights of the previous sections to shed some more light on the analytic continuation proposed in [12].”
Generalized black holes in three-dimensional spacetime (2014, unknown): “22) [46, 48–51].”
AdS3 gravity and random CFT (2020, background): “So, to the extent that the Chern-Simons description has a good candidate for the global form of the gauge group, it must be either PSL(2; R) × PSL(2; R) [45] or SO(2, 2) [33].”
Asymptotically flat spacetimes in three-dimensional higher spin gravity (2013, background): “Then, in particular, it is worth pointing out that the smoothed out conical defects and surpluses discussed in [29–31] fall within this category, i.”