Only your commanding office can tell you about this.
When a member of the military is not present at their appointed place of duty, and not on leave, they have committed the military offense of being absent without leave, abbreviated as AWOL.
Furlough is actually more military oriented. Webster defines it as : A leave of absence from duty granted especially to personnel of the Armed Forces.
Absence Without Official Leave (US military)
Leave without pay (LWOP)
When you're on leave from active duty, you're on leave - you're not a member of the reserve or National Guard, and you don't drill with them.
Leaves of absence.
Leave without pay (LWOP)
On Leave of Absence - 1924 was released on: USA: 26 October 1924
When used as a noun (e.g. "going on leave") the plural of leave remains leave. However, leaves is the plural for leaf.
Absence without leave
Leave of Absence - 1994 TV is rated/received certificates of: Iceland:L
The cast of Leave of Absence - 2009 includes: Richard Omar as Theo