Abstract
Using trace anomalies, we determine the vacuum stress tensors of arbitrary even-dimensional conformal field theories in Weyl flat backgrounds. We demonstrate a simple relation between the Casimir energy on $\mathbb{R}\ifmmode\times\else\texttimes\fi{}{S}^{d\ensuremath{-}1}$ and the type A anomaly coefficient. This relation generalizes earlier results in two and four dimensions. These field-theory results for the Casimir energy are shown to be consistent with holographic predictions in two, four, and six dimensions.
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