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- W3100625487 abstract "The Lin-Maldacena geometries are nonsingular gravity duals to degenerate vacuum states of a family of field theories with SU(2|4) supersymmetry. In this note, we show that at large N, where the number of vacuum states is large, there is a natural `macroscopic' description of typical states, giving rise to a set of coarse-grained geometries. For a given coarse-grained state, we can associate an entropy related to the number of underlying microstates. We find a simple formula for this entropy in terms of the data that specify the geometry. We see that this entropy function is zero for the original microstate geometries and maximized for a certain ``typical state'' geometry, which we argue is the gravity dual to the zero-temperature limit of the thermal state of the corresponding field theory. Finally, we note that the coarse-grained geometries are singular if and only if the entropy function is non-zero." @default.
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- W3100625487 date "2007-09-18" @default.
- W3100625487 modified "2023-09-26" @default.
- W3100625487 title "Coarse-graining the Lin-Maldacena geometries" @default.
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- W3100625487 doi "https://doi.org/10.1088/1126-6708/2007/09/059" @default.
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