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Recently Lin, Lunin and Maldacena (LLM) (hep-th/0409174) explicitly mapped1/2 BPS excitations of type IIB supergravity on AdS_5 x S^5 into free fermionconfigurations. We discuss thermal coarse-gaining of LLM geometries byexplicitly mapping the corresponding equilibrium finite temperature fermionconfiguration into supergravity. Following Mathur conjecture, a prescription ofthis sort should generate a horizon in the geometry. We did not find a horizonin finite temperature equilibrium LLM geometry. This most likely is due to thefact that coarse-graining is performed only in a half-BPS sector of the fullHilbert space of type IIB supergravity. For temperatures much less than the AdScurvature scale the equilibrium background corresponding to nearly degeneratedual fermi-gas is found analytically.Comment: 10 page

COARSE-GRAINING 1/2 BPS GEOMETRIES OF TYPE IIB SUPERGRAVITY