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arXiv · 1907.03497

A Holographic Study of the $a$-theorem and RG Flow in General Quadratic Curvature Gravity

Ahmad Ghodsi·Malihe Siahvoshan
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Abstract

We use the holographic language to show the existence of the $a$-theorem for even dimensional CFTs, dual to the AdS space in general quadratic curvature gravity. We find the Wess-Zumino action which is originated from the spontaneous breaking of the conformal symmetry in $d\leq 8$, by using a radial cut-off near the AdS boundary. We also study the RG flow and (average) null energy condition in the space of the couplings of theory. In a simple toy model, we find the regions where this holographic RG flow has a monotonic decreasing behavior.

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Ahmad Ghodsi, Malihe Siahvoshan. 2019-07-08. A Holographic Study of the $a$-theorem and RG Flow in General Quadratic Curvature Gravity. https://doi.org/10.1140/epjc%2Fs10052-019-7345-8

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