3D Lovelock gravity and the holographic c -theorem

Alkaç, Gökhan
Süer, Gün
We show that the scalar-tensor theory that arises in a rigorous D→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 1D-3, and then setting D=3.
Physical Review D


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Citation Formats
G. Alkaç and G. Süer, “3D Lovelock gravity and the holographic c -theorem,” Physical Review D, vol. 107, no. 4, pp. 0–0, 2023, Accessed: 00, 2023. [Online]. Available: https://hdl.handle.net/11511/102731.