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We study the simplest superstring bit model at finite N using the charactersof the SU(N) group. We obtain exact, analytic expressions for small N partitionfunctions and Gaussian approximations for them in the high temperature limitfor all N. We use numerical evidence to identify two temperature regimes wherethe partition function has different limiting behaviors. The temperature atwhich this transition takes place is identified as the Hagedorn temperature.

Hagedorn Temperature in Superstring Bits and SU(N) Characters