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The grand-canonical thermodynamic potential for Bose and Fermi fields inanti-de Sitter space-time is introduced and a Mellin complex representation isgiven. This is used to investigate the high temperature properties of thethermal state at finite charge. The time-like nature of spatial infinity isshown to act as a boundary, and changes the free energy of the field in thermalequilibrium.Comment: 8, Latex, UTF 31

Thermal states in anti–de Sitter space-time and the role of timelike infinity