We present ALMA Cycle-0 observations of the CO ( 6-5 ) line emission and of the 435 \mu m dust continuum emission in the central kpc of NGC 1614 , a local luminous infrared galaxy ( LIRG ) at a distance of 67.8 Mpc ( 1 \arcsec = 329 pc ) . The CO emission is well resolved by the ALMA beam ( 0 \farcs 26 \times 0 \farcs 20 ) into a circum-nuclear ring , with an integrated flux of f _ { CO~ { } ( 6 - 5 ) } = 898 ( \pm 153 ) Jy km s ^ { -1 } , which is 63 ( \pm 12 ) \% of the total CO ( 6-5 ) flux measured by Herschel . The molecular ring , located between 100 pc < r < 350 pc from the nucleus , looks clumpy and includes seven unresolved ( or marginally resolved ) knots with median velocity dispersion of \sim 40 km s ^ { -1 } . These knots are associated with strong star formation regions with \Sigma _ { SFR } \sim 100 M _ { \sun } yr ^ { -1 } kpc ^ { -2 } and \Sigma _ { Gas } \sim 10 ^ { 4 } M _ { \sun } pc ^ { -2 } . The non-detections of the nucleus in both the CO ( 6-5 ) line emission and the 435 \mu m continuum rule out , with relatively high confidence , a Compton-thick AGN in NGC 1614 . Comparisons with radio continuum emission show a strong deviation from an expected local correlation between \Sigma _ { Gas } and \Sigma _ { SFR } , indicating a breakdown of the Kennicutt-Schmidt law on the linear scale of \sim 100 pc .