  In this letter we use the Anti-de Sitter/Conformal Field Theory (AdS/CFT)
correspondence to establish a set of old conjectures about symmetries in
quantum gravity. These are that no global symmetries are possible, that
internal gauge symmetries must come with dynamical objects that transform in
all irreducible representations, and that internal gauge groups must be
compact. These conjectures are not obviously true from a bulk perspective, they
are nontrivial consequences of the non-perturbative consistency of the
correspondence. More details of and background for these arguments are
presented in an accompanying paper.
