Thermal two-point functions of scalar CFT operators at zero spatial separation are reconstructed from their discontinuities via Hurwitz zeta kernels, with OPE coefficients as the only dynamical input.
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Leading coefficients of the thermal effective action for the large-N critical O(N) vector model in 3D with twist are computed via twisted partition function on S2 and path-integral methods, yielding consistent results.
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The analytic bootstrap at finite temperature
Thermal two-point functions of scalar CFT operators at zero spatial separation are reconstructed from their discontinuities via Hurwitz zeta kernels, with OPE coefficients as the only dynamical input.
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Thermal effective action for the $O(N)$ vector model
Leading coefficients of the thermal effective action for the large-N critical O(N) vector model in 3D with twist are computed via twisted partition function on S2 and path-integral methods, yielding consistent results.