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New 12CO J=4-3 and 13CO J=3-2 observations of the N159 region in the LargeMagellanic Cloud have been made. The 12CO J=4-3 distribution is separated intothree clumps. These new measurements toward the three clumps are used incoupled calculations of molecular rotational excitation and line radiationtransfer, along with other transitions of the 12CO as well as the isotopetransitions of 13CO. The temperatures and densities are determined to be~70-80K and ~3x10^3 cm-3 in N159W and N159E and ~30K and ~1.6x10^3 cm-3 inN159S. These results are compared with the star formation activity. The N159Eclump is associated with embedded cluster(s) as observed at 24 micron and thederived high temperature is explained as due to the heating by these sources.The N159E clump is likely responsible for a dark lane in a large HII region bythe dust extinction. The N159W clump is associated with embedded clustersmainly toward the eastern edge of the clump only. These clusters show offsetsof 20"-40" from the 12CO J=4-3 peak and are probably responsible for heatingindicated by the derived high temperature. The N159W clump exhibits no sign ofstar formation toward the 12CO J=4-3 peak position and its western region. Wesuggest that the N159W peak represents a pre-star-cluster core of ~105M_solwhich deserves further detailed studies. Note that recent star formation tookplace between N159W and N159E as indicated by several star clusters and HIIregions, while the natal molecular gas toward the stars have already beendissipated by the ionization and stellar winds of the OB stars. The N159S clumpshows little sign of star formation as is consistent with the lower temperatureand somewhat lower density. The N159S clump is also a candidate for future starformation.

Warm and Dense Molecular Gas in the N159 Region: 12CO J=4-3 and 13CO J=3-2 Observations with NANTEN2 and ASTE