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We calculate the spectrum of light glueballs and the string tension in anumber of SO(N) lattice gauge theories in 2+1 dimensions, with N in the rangefrom N=3 to N=16. After extrapolating to the continuum limit and then to N=oowe compare to the spectrum and string tension of the SU(N=oo) gauge theory andfind that the most reliably and precisely calculated physical quantities areconsistent in that limit. We also compare the glueball spectra of those pairsof SO(N) and SU(N') theories that possess the same Lie algebra, i.e. SO(3) andSU(2), SO(4) and SU(2)xSU(2), SO(6) and SU(4), and find that for the verylightest glueballs the spectra are consistent within each such pair, as are thestring tensions and the couplings. Where there are apparent discrepancies theyare typically for heavier glueballs, where the systematic errors are muchharder to control. We calculate the SO(N) string tensions with a particularfocus on the confining properties of SO(2N+1) theories which, unlike SO(2N)theories, possess a trivial centre. We find that for both the light glueballsand for the string tension SO(2N) and SO(2N+1) gauge theories appear to form asingle smooth sequence.

SO(N) gauge theories in 2+1 dimensions: glueball spectra and confinement