Conical Defects in Higher Spin Theories

Abstract

We study conical defect geometries in the SL(N) Chern-Simons formulation of higher spin gauge theories in AdS_3. We argue that (for N\geq 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 AdS_3 spacetimes. Remarkably, the spectrum of smooth SL(N,C) solutions, after an appropriate analytic continuation, exactly matches that of the so-called "light primaries" in the minimal model W_N CFTs at finite N. This gives a candidate bulk interpretation of the latter states in the holographic duality proposed in [1].

38 pages

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• Analytic Continuation of Liouville Theory
• Symmetries of Holographic Minimal Models
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• Quantum W-symmetry in AdS_3
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• Correlation Functions in Holographic Minimal Models

Cited by in corpus (24)

• Higher Spin Entanglement and W_N Conformal Blocks
• Holography in de Sitter Space via Chern-Simons Gauge Theory
• Observables and Microscopic Entropy of Higher Spin Black Holes
• Limits of minimal models and continuous orbifolds
• Exploring Three-dimensional Higher-Spin Supergravity based on sl(N |N - 1) Chern-Simons theories
• Conformal blocks from Wilson lines with loop corrections
• Boundary Conditions and Partition Functions in Higher Spin AdS${}_3$/CFT${}_2$
• Multi-centered AdS${}_3$ solutions from Virasoro conformal blocks
• Three-Point Functions in N=2 Higher-Spin Holography
• Warped Black Holes in Lower-Spin Gravity
• Higher spins in the symmetric orbifold of K3
• Rectangular W-(super)algebras and their representations
• Bulk entanglement entropy for photons and gravitons in AdS${}_3$
• Superconformal blocks from Wilson lines with loop corrections
• A semi-local holographic minimal model
• Asymptotic symmetries and thermodynamics of higher spin black holes in AdS3
• Correspondences among CFTs with different W-algebra symmetry
• Complex saddles of three-dimensional de Sitter gravity via holography
• Rectangular W-algebras of types $so(M)$ and $sp(2M)$ and dual coset CFTs
• Conical spaces, modular invariance and $c_{p,1}$ holography
• Relative entropy in higher spin holography
• Exact Path Integral for 3D Higher Spin Gravity
• Conformal embeddings and higher-spin bulk duals
• A note on the $\mathcal{N}=2$ super-${\mathcal{W}}_3$ holographic dictionary