Decoding the Spin-Matrix limit of strings on $AdS_5 \times S^5$

In this Letter, we explore nonrelativistic string solutions in various subsectors of the $SU(1,2|3)$ SMT strings that correspond to different spin groups and satisfy the respective BPS bounds. In particular, we carry out an explicit analysis on rotating string solutions in the light of recently proposed SMT limits. We explore newly constructed SMT limits of type IIB (super) strings on $AdS_5 \times S^5$ and estimate the corresponding leading order stringy corrections near the respective BPS bounds.