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If $D$ is a divisor such that $\\tau(D) = D$, this restricts to an involution on the moduli space $M(r,D)$ of semistable Higgs bundles of rank $r$ with fixed determinant $\\mathcal{O}(D)$ and trace-free Higgs field. The fixed point sets of these involutions $M(r,d)^{\\tau}$ and $M(r,D)^{\\tau}$ are $(A,A,B)$-branes introduced by Baraglia-Schaposnik. 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