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- W1995736124 abstract "An interpolating function $tilde F$ between the $a$-anomaly coefficient in even dimensions and the free energy on an odd-dimensional sphere has been proposed recently and is conjectured to monotonically decrease along any renormalization group flow in continuous dimension $d$. We examine $tilde F$ in the large-$N$ CFT's in $d$ dimensions holographically described by the Einstein-Hilbert gravity in the AdS$_{d+1}$ space. We show that $tilde F$ is a smooth function of $d$ and correctly interpolates the $a$ coefficients and the free energies. The monotonicity of $tilde F$ along an RG flow follows from the analytic continuation of the holographic $c$-theorem to continuous $d$, which completes the proof of the conjecture." @default.
- W1995736124 created "2016-06-24" @default.
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- W1995736124 date "2014-12-01" @default.
- W1995736124 modified "2023-10-01" @default.
- W1995736124 title "Holographic interpolation between a and F" @default.
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- W1995736124 doi "https://doi.org/10.1007/jhep12(2014)161" @default.
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