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arXiv · 2511.09714

Geometry Induced Chiral Transport and Entanglement in $AdS_2$ Background

Kazuki Ikeda·Yaron Oz
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Abstract

We study the real-time chiral dynamics of Dirac fermions in AdS$_2$ and AdS$_2$ black hole backgrounds. The spacetime curvature generates a spin connection term, acting as an effective magnetic field and a position-dependent chiral chemical potential. This leads to strongly asymmetric wave propagation, confined within an inhomogeneous Lieb-Robinson cone. The front velocities decrease with increasing fermion mass and horizon radius. The entanglement entropy grows inside the causal cone, and it saturates due to screening/dephasing in the finite inhomogeneous chain. In dipole-dipole collision, the central bipartite entropy rises when the inward Lieb-Robinson fronts intersect, forming a bright ridge in the local entanglement profile. Charge and current correlators peak at the front arrival, providing a real-time diagnostic of chiral transport. These results establish a causality-respecting framework, linking curvature and horizons to transport and entanglement in (1+1)-dimensional fermionic matter.

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Kazuki Ikeda, Yaron Oz. 2025-11-12. Geometry Induced Chiral Transport and Entanglement in $AdS_2$ Background. https://doi.org/10.1007/jhep04(2026)177

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