For holographic QFTs on constant-curvature manifolds, the spectrum is always discrete for negative curvature and always has a continuous component starting at m^2 = (9/4)α^{-2} for positive curvature.
Holographic RG flows on Squashed $S^3$
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Holographic RG flows dual to QFTs on a squashed $S^3$ are considered in the framework of Einstein dilaton gravity in four dimensions. A general dilaton potential is used and flows are driven by a scalar relevant operator. The general properties of such flows are analysed and the UV and IR asymptotics are computed. Exotic asymptotics are found, that are different from the standard Fefferman-Graham asymptotics.
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On the spectra of holographic QFTs on constant curvature manifolds
For holographic QFTs on constant-curvature manifolds, the spectrum is always discrete for negative curvature and always has a continuous component starting at m^2 = (9/4)α^{-2} for positive curvature.