The Lunar Gravitational-Wave Antenna (LGWA) is a proposed lunar-based observatory designed to detect gravitational waves in the deci hertz band (1 mHz to 1 Hz), bridging the frequency gap between space-based detectors such as LISA and ground-based observatories such ET and Cosmic Explorer. It consists of an array of next-generation inertial sensors to monitor the Moon’s response to gravitational waves. LGWA will observe intermediate-mass and massive black hole mergers, extreme mass-ratio inspirals, and compact binaries involving white dwarfs and neutron stars. It is especially valuable for unique multimessenger events such as tidal disruption events (TDEs) and Type Ia supernovae (SN Ia).