Dynamics of Finite-Temperature Conformal Field Theories from Operator Product Expansion Inversion Formulas.We apply the operator product expansion inversion formula to thermal two-point functions of bosonic and fermionic conformal field theories in general odd dimensions.  We find that nontrivial thermal conformal field theories arise when the thermal mass satisfies an algebraic transcendental equation that ensures the absence of an infinite set of operators from the spectrum. 
THERM