Introduction to magnetic star-planet interactions

Abstract: The interaction between planets and their host stars is governed by the forces of gravity, radiation, and magnetic fields. For planets orbiting their stars at distances of approximately 10 stellar radii or less, these effects are significantly intensified. Such interactions can be investigated through a combination of photometric, spectroscopic, and spectropolarimetric studies spanning wavelengths from X-rays to radio frequencies. When a hot planet resides within the star's sub-Alfv\'enic radius, magnetic star-planet interactions (SPI) become possible, often observable as stellar activity enhancements influenced by the planet's orbital motion rather than stellar rotation alone. Such interactions offer a unique perspective on the atmospheric erosion and magnetospheric characteristics of close-in exoplanets.The behavior and impacts of these magnetic interactions are highly sensitive to the magnetic fields of both the planet and its host star. This interplay can influence the magnetic activity of both bodies and has implications for the planet's irradiation levels, orbital migration, and the star's rotational dynamics. By employing phase-resolved observational methods on an expanding sample of hot Jupiter (HJ) systems, researchers can now extend these studies to other compact star-planet systems, including smaller planets in the habitable zones of M dwarfs. Efforts to comprehend magnetic SPI have led to extensive advancements in theoretical research and computational modeling. These efforts include investigations into the space weather environments of close-in giant exoplanets. Utilizing hydrodynamical (HD) and magnetohydrodynamical (MHD) simulations, researchers aim to provide both qualitative and quantitative descriptions of SPI. In this chapter, we first review notable SPI detections before summarizing the current understanding of the underlying physical mechanisms driving SPI.