Critical behavior in the rotating D-branes

We investigate the critical behavior near the thermodynamically stable boun dary for the rotating D3-, M5- and M2-branes. The static scaling laws are f ound to hold. The critical exponents characterizing the scaring behaviors o f susceptibilities are the same and all equal 1/2 in all cases. Using the s caling laws related to the correlation functions, we predict the critical e xponents of the two-point correlation function of the corresponding conform al fields. We find that the stable boundary is shifted in the different ens embles and there does not exist the stable boundary in the canonical ensemb le for the rotating M2-branes.