The Case for High Resolution Spectroscopy in the Ultraviolet

The Astro2020 Decadal Survey declared that the baryon cycle is one of the top-priority science topics for current astrophysics. Space instruments with both high spectral resolution and high throughput in the ultraviolet are required for investigations of low density warm and cold gas present in both the \underline{inner} regions of the baryon cycle (interstellar medium, star-exoplanet interactions, pre-main sequence stars, stellar winds, flows and structures driven by supernovae) and the \underline{outer} regions (outflows of matter and energy from galaxies, circumgalactic media). The Space Telescope Imaging Spectrograph on HST has pioneered such studies, but STIS has its limitations and the lifetime of HST is limited. There is a pressing need for future large instruments with high spectral resolution ($R\approx 100,000$) in the 120--320~nm wavelength band such as the present STIS E140H and E230H capabilities, but with increased throughput to study gas in sight lines to faint sources such as M dwarf stars and circumgalactic clouds. Multi-object spectroscopy at high spectral resolution could enhance observational efficiency. This document describes some of the scientific results obtained with STIS and the new science that an enhanced instrument on a large telescope such as HWO could accomplish. We provide examples of the resolution needed for these science investigations.