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By using the GRAVITY instrument with the near-infrared (NIR) Very LargeTelescope Interferometer (VLTI), the structure of the broad (emission-)lineregion (BLR) in active galactic nuclei (AGNs) can be spatially resolved,allowing the central black hole (BH) mass to be determined. This work reportsnew NIR VLTI/GRAVITY interferometric spectra for four type 1 AGNs (Mrk 509, PDS456, Mrk 1239, and IC 4329A) with resolved broad-line emission. Dynamicalmodelling of interferometric data constrains the BLR radius and central BH massmeasurements for our targets and reveals outflow-dominated BLRs for Mrk 509 andPDS 456. We present an updated radius-luminosity (R-L) relation independent ofthat derived with reverberation mapping (RM) measurements using all theGRAVITY-observed AGNs. We find our R-L relation to be largely consistent withthat derived from RM measurements except at high luminosity, where BLR radiiseem to be smaller than predicted. This is consistent with RM-based claims thathigh Eddington ratio AGNs show consistently smaller BLR sizes. The BH masses ofour targets are also consistent with the standard $M_\mathrm{BH}$-$\sigma_*$relation. Model-independent photocentre fitting shows spatial offsets betweenthe hot dust continuum and the BLR photocentres (ranging from $\sim$17 $\mu$asto 140 $\mu$as) that are generally perpendicular to the alignment of the red-and blueshifted BLR photocentres. These offsets are found to be related to theAGN luminosity and could be caused by asymmetric K-band emission of the hotdust, shifting the dust photocentre. We discuss various possible scenarios thatcan explain this phenomenon.

The size-luminosity relation of local active galactic nuclei from interferometric observations of the broad-line region