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The Free Scalar as a Thermal Envelope for Three-Dimensional CFTs
We conjecture that every unitary three-dimensional conformal field theory obeys $c_S/C_T\leq16πζ(3)$, where $s=c_ST^2$ is the thermal entropy density and $C_T$ the stress-tensor two-point coefficient, with equality for free scalars. We embed this in a stronger conjecture: on $S^1\times H^2$, the $C_
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