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We construct an action of the extended double affine braid group$\mathcal{\ddot{B}}$ on the quantum toroidal algebra$U_{q}(\mathfrak{g}_{\mathrm{tor}})$ in all untwisted types. In the simplylaced cases, using this action and certain involutions of $\mathcal{\ddot{B}}$we obtain automorphisms and anti-automorphisms of$U_{q}(\mathfrak{g}_{\mathrm{tor}})$ which exchange the horizontal and verticalsubalgebras. Moreover, they switch the central elements $C$ and$k_{0}^{a_{0}}\dots k_{n}^{a_{n}}$ up to inverse. This generalises existingresults in type $A$ due to Miki.

Automorphisms of quantum toroidal algebras from an action of the extended double affine braid group