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Conical Defects in Higher Spin Theories

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arxiv 1111.3381 v1 pith:GMZRPCMF submitted 2011-11-14 hep-th

Conical Defects in Higher Spin Theories

classification hep-th
keywords geometriesconicalgaugehighersmoothspintheoriesactually
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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].

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  1. Minimal Massive Gravity Coupled to Higher Spins

    hep-th 2026-07 conditional novelty 6.0

    Minimal Massive Gravity is coupled to a finite sl(N) tower of higher-spin fields, giving a Stückelberg formulation, AdS2 x S1 hair solutions, and two massive modes (spin j and j-2) for each spin-j > 2 field.