Absolute scalar entanglement coefficient in a proper-temperature description

Determine whether the absolute scalar entanglement coefficient of the electrically driven D3–D7 steady state is controlled by an analogous frame-independent proper effective temperature variable.

Background

The paper distinguishes the orientation-dependent tensor response, which is the main controlled observable, from the absolute scalar-sector entanglement coefficient. The latter depends on the stationary completion of the backreacted non-equilibrium state and on how temperature and other state data are matched.

After discussing proper effective temperatures proposed for other relativistic non-equilibrium steady states, the paper leaves unresolved whether a comparable scalar variable controls the absolute scalar entanglement coefficient in the electrically driven D3–D7 conductor.

References

The electrically driven D3--D7 state considered here is not a boosted equilibrium state, and whether its absolute scalar entanglement coefficient is controlled by an analogous proper variable remains open.

— Density-driven reversal of flavour-entanglement anisotropy in the D3-D7 holographic conductor  (2609.26641 - Okabayashi, 22 Sep 2026) in Section 6.2, “Relation to the effective temperature”