Quantum Corrections to Randall-Sundrum Model from JT Gravity

TL;DR

This work investigates how infrared quantum gravity effects, captured by JT gravity and its Schwarzian boundary dynamics, modify the Randall-Sundrum braneworld. By embedding Schwarzian modes into the RS metric and analyzing the near-horizon geometry of near-extremal black branes, the authors derive a quantum-corrected AdS$_2$ sector and propagate these corrections to the full RS bulk, introducing a temperature-dependent factor $\langle A_{cor} \rangle$ that alters graviton propagation and radion dynamics. The graviton KK spectrum acquires mode-dependent shifts, while the Goldberger-Wise stabilization remains viable with a renormalized bulk mass $m_\Phi^2/\langle A_{cor} \rangle$, offering a controlled perturbative framework for quantum corrections. Overall, the paper provides a concrete path to include infrared quantum gravity and finite-temperature effects in RS models, with potential implications for early-universe cosmology and phase transitions.

Abstract

We investigate quantum corrections to the Randall-Sundrum (RS) model in the near-extremal black brane background with quantum corrections in the near-horizon. The near-horizon geometry is described by Jackiw-Teitelboim gravity, and the quantum fluctuations are governed by the Schwarzian action. We introduce the Schwarzian modes into the RS metric, derive the quantum-corrected equation for the Kaluza-Klein (KK) modes via the Schwinger-Dyson equation, calculate the correction to the KK mass spectrum, and discuss the impact of quantum corrections on the Goldberger-Wise mechanism. Our work introduces both quantum corrections and temperature into the RS model, providing insights into cosmology and phase transitions within it.