Christian Chavez ARRESTED -- Mexican TV Star Busted After Fight w/ Boyfriend

Christian Chavez -- a HUUGE Mexican TV actor who's also an international pop star -- was arrested Tuesday after an alleged physical altercation with his boyfriend ... TMZ has learned.

Chavez is a superstar in Mexico, blowing up as a regular on the telenovela "Rebelde" ... then as a member of the show's spinoff band RBD, which sold more than 20 million albums worldwide before breaking up in 2009.

Law enforcement tells TMZ ... both Christian and his boyfriend Ben were taken into custody at a home in Beverly Hills early Tuesday morning.

We're told both Christian and the BF had visible injuries. Both men were booked on suspicion of felony domestic violence ... the DA will decide whether to prosecute.