Quantum Corrections to Randall-Sundrum Model from JT Gravity

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.

💡 Research Summary

The paper presents a novel framework that incorporates quantum gravitational effects and finite‑temperature corrections into the Randall‑Sundrum (RS) braneworld scenario by exploiting the near‑horizon dynamics of a near‑extremal five‑dimensional Reissner‑Nordström black brane. The authors first review the classical RS model, emphasizing its warped extra dimension, the exponential red‑shift that solves the hierarchy problem, and the Kaluza‑Klein (KK) graviton spectrum mₙ≈(n+¼)πk e^{‑kπr_c}. They then introduce Jackiw‑Teitelboim (JT) gravity as the effective two‑dimensional description of the AdS₂ region that emerges near the horizon of the near‑extremal black brane. The JT action, together with the Gibbons‑Hawking‑York boundary term, reduces to a Schwarzian action I_{Sch}