At large spacetime dimension D, semiclassical black holes require entropy S_BH > (D/4π)^(D+3) log D, a bound stronger than the usual curvature and backreaction conditions.
Conformal Blocks in the Large D Limit
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We derive conformal blocks in an inverse spacetime dimension expansion. In this large D limit, the blocks are naturally written in terms of a new combination of conformal cross-ratios. We comment on the implications for the conformal bootstrap at large D.
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Black hole evaporation and semiclassicality at large D
At large spacetime dimension D, semiclassical black holes require entropy S_BH > (D/4π)^(D+3) log D, a bound stronger than the usual curvature and backreaction conditions.