A star under multiple influences. Magnetic activity in V815 Her, a compact 2+2 hierarchical system

We are conducting a comprehensive investigation of V815 Her using photometric and spectroscopic data to understand the origin of the activity and what influences it in the short and long term. Using TESS photometry we performed light curve modeling in order to derive astrophysical and orbital parameters for the eclipsing binary subsystem V815 Her B. Using archival photometric data covering a century we carried out a time frequency analysis. Spectral synthesis was applied to determine the basic astrophysical parameters of the rapidly rotating primary using high-resolution STELLA spectra recorded in 2018. Photometric analysis revealed multiple cycles on timescales between  6.5 and  26 years. From TESS photometry we obtained orbital solution for the V815 Her B subsystem. The STELLA spectra covering the 200 day-long observing season enabled to create 19 time-series Doppler images, which revealed a constantly changing spotted surface. From the consecutive image pairs we measured a weak solar-type surface differential rotation of the spotted star. We found evidence that the V815 Her B component previously apostrophized as a third body is actually an eclipsing close binary subsystem of two M dwarfs with a period of 0.5 d, i.e., V815 Her is a 2+2 hierarchical quadruple system. The system is apparently young, only a few times ten million years old, consistent with the spotted primary V815 Her Aa being a zero-age main sequence star. Spot activity on the primary was found to be vivid. Fast starspot decay suggests that convective-turbulent erosion plays a more significant role in such a rapidly rotating star. The weak differential rotation of V815 Her Aa is presumably confined by tidal forces of the close companion V815 Her Ab. The slowly increasing photometric cycle of 6.5 years on average is interpreted as a spot cycle of V815 Her Aa, which is probably modulated by the eccentric wide orbit.