synapse/contrib/systemd/synapse.service

# This assumes that Synapse has been installed as a system package
# (e.g. https://www.archlinux.org/packages/community/any/matrix-synapse/ for ArchLinux)
# rather than in a user home directory or similar under virtualenv.

[Unit]
Description=Synapse Matrix homeserver

[Service]
Type=simple
User=synapse
Group=synapse
WorkingDirectory=/var/lib/synapse
ExecStart=/usr/bin/python2.7 -m synapse.app.homeserver --config-path=/etc/synapse/homeserver.yaml
ExecStop=/usr/bin/synctl stop /etc/synapse/homeserver.yaml

[Install]
WantedBy=multi-user.target