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Résumé |
Yang-Mills theory in AdS_4 with Dirichlet boundary conditions is expected to
undergo a deconfinement-confinement transition as the AdS radius varies, as the
global symmetry of the boundary CFT cannot hold in flat space. We apply the
conformal bootstrap to four-point functions of non-abelian conserved currents in
3d to place bounds on proposed mechanisms for the transition. We rule out the
scenario in which the boundary current decouples by bounding the current central
charge. We also obtain bounds on the dimension of the lightest scalar operators,
which disfavour a bulk-Higgs mechanism and instead support a transition triggered
by a scalar singlet becoming marginal. |
