I have a forgetful map between moduli spaces, I want to prove that it is an embedding, In fact, I have a reductive algebric group (which is not constant) over a curve $X$ whose geniric fiber is semisimple. And I have a forgetful map from $Bun_\mathcal G$ to the algebraic stuck of vector bundle $\mathscr {SL}(r)$
Is there any usuful critiria in this situation?