The configuration and failed eruption of a complex magnetic flux rope above a {\delta} sunspot region
Lijuan Liu, Jiajia Liu, Jun Chen, Yuming Wang, Guoqiang Wang, Zhenjun, Zhou, and Jun Cui

TL;DR
This study analyzes the complex magnetic flux rope above a delta sunspot, revealing its layered structure, null point, and eruption process, which supports the breakout model of solar eruptions.
Contribution
It provides detailed 3D magnetic field analysis of a flux rope and its eruption mechanism in a delta sunspot region, highlighting the role of null points and topological features.
Findings
Flux rope has multiple layers with decreasing twist from core to boundary.
Eruption involves precursor reconnection at a null point and main reconnection at a bald patch or HFT.
The delta sunspot environment favors complex magnetic configurations leading to activity.
Abstract
Aims. We investigate the configuration of a complex flux rope above a {\delta} sunspot region in NOAA AR 11515, and its eruptive expansion during a confined M5.3-class flare. Methods. We study the formation of the {\delta} sunspot using continuum intensity images and photospheric vector magnetograms provided by SDO/HMI. We use EUV and UV images provided by SDO/AIA, and hard X-ray emission recorded by RHESSI to investigate the eruptive details. The coronal magnetic field is extrapolated with a non-linear force free field (NLFFF) method, based on which the flux rope is identified by calculating the twist number Tw and squashing factor Q. We search the null point via a modified Powell hybrid method. Results. The collision between two emerging spot groups form the {\delta} sunspot. A bald patch (BP) forms at the collision location, above which a complex flux rope is identified. The flux…
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