Holographic central charge for sine dilaton gravity

TL;DR

This paper calculates the holographic central charge for sine dilaton gravity, revealing it exceeds that of JT gravity, highlighting effects of UV completion in the holographic duality.

Contribution

It introduces the computation of the holographic central charge for sine dilaton gravity and compares it to JT gravity, elucidating UV effects.

Findings

c_{sDG} > c_{JT} indicating UV effects

sDG flows into JT gravity at low energy

UV completion affects holographic central charge

Abstract

In this paper, we calculate the holographic central charge ($c_{sDG}$) associated with sine dilaton gravity (sDG) in the semiclassical limit. In the low energy limit, the sDG flows into the ordinary JT gravity which is a conjectured dual of ordinary Schwarzian quantum mechanics at strong coupling. We compute the associated central charge ($c_{JT}$), which reveals $c_{sDG}>c_{JT}$. We identify this as an artifact of the UV completion of JT gravity in terms of sine dilaton gravity.