Geometry Induced Chiral Transport and Entanglement in $AdS_2$ Background

• URL: http://arxiv.org/abs/2511.09714v1
• Date: Fri, 14 Nov 2025 01:05:50 GMT
• Title: Geometry Induced Chiral Transport and Entanglement in $AdS_2$ Background
• Authors: Kazuki Ikeda, Yaron Oz,
• Abstract summary: We study the real-time chiral dynamics of Dirac fermions in AdS$$ and AdS$$ black hole backgrounds.<n>The spacetime curvature generates a spin connection term, acting as an effective magnetic field and a position-dependent chiral chemical potential.
• Score: 1.5899159309486681
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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. Entanglement growth occurs inside the causal cone, and saturates through a string-breaking mechanism driven by screening excitations. In dipole-dipole scattering, 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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