Anti-de Sitter space at finite temperature

We consider a conformally invariant scalar field at finite temperature in anti-de Sitter space, and find the symmetric two-point function. Since it is meromorphic and it has both a real-time and imaginary-time periodicity, it is an elliptic function. From it, the expectation values of ø² and the stress-energy tensor are calculated exactly, and then compared to a Tolman-redshifted radiation gas, and to Page's “optical” approximation. The total energy of the radiation is finite.