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arXiv · 2211.12450

3D Lovelock Gravity and the Holographic c-Theorem

Gokhan Alkac·Gun Suer
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Abstract

We show that the scalar-tensor theory that arises in a rigorous $D \to 3$ limit of Lovelock gravity up to cubic order admits a holographic c-theorem and verify that the value of the c-function at the UV fixed point matches with the Weyl anomaly coefficient (up to an irrelevant factor). The constructed c-function is the same as one that follows from the "naive limit", which is obtained by scaling the couplings by a factor of $\frac{1}{D-3}$, and then setting $D=3$.

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Gokhan Alkac, Gun Suer. 2022-11-22. 3D Lovelock Gravity and the Holographic c-Theorem. https://doi.org/10.1103/physrevd.107.046014

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