Given $\xi \in \mathfrak{su}(4)$ and positive $T \in \mathbb{R}$, is it possible to find all curves $U_s \in SU(4)$ with $U_0 = I$ such that:
$\int_0^T U_s \xi U_s^{\dagger} ds =0$
Curves on $SU(4)$ who's adjoint action on $\mathfrak{su}(4)$ integrates to $0$
Benjamin
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