Derived category and ACM bundles of moduli space of vector bundles on a curve

We show that the derived category of a curve is embedded into the derived category of the moduli space of vector bundles on the curve of coprime rank and degree. We also generalize the semiorthogonal decomposition constructed by Narasimhan and Belmans-Mukhopadhyay. Finally, we produce a one-dimensional family of ACM bundles over the moduli space.
Comment: We merge our article arXiv:2106.04857 and the previous version of arXiv:2201.10033 into this new version