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Actress Uma Thurman and her boyfriend Arpad Busson welcomed their first child on July 15 and until now have kept a tight lip on the baby girl’s name.

Uma’s rep Gabrielle Kachman revealed to PEOPLE, “I would like to announce Uma and Arki’s daughter’s name for the first time officially: Rosalind Arusha Arkadina Altalune Florence Thurman-Busson, better known to family and friends as Luna.”

WOW! That’s a mouthful!

The couple have four other children between them: Uma has a daughter Maya Ray and a son Levon with ex-husband actor Ethan Hawke. Busson’s sons, Flynn and Cy, were born during his union with model Elle MacPherson.

Photo Credit: Adriana M. Barraza-WENN