We describe the confining instabilities of a proposed quantum spin liquid underlying the pseudogap metal state of the hole-doped cuprates. The spin liquid can be described by a SU(2) gauge theory of_{f}= 2 massless Dirac fermions carrying fundamental gauge charges—this is the low-energy theory of a mean-field state of fermionic spinons moving on the square lattice with_{2}center of SU(2). This theory has an emergent SO(5)_{f}global symmetry and is presumed to confine at low energies to the Néel state. At nonzero doping (or smaller Hubbard repulsion_{2}-flux. At half-filling, the low-energy theory of the Higgs sector has_{b}= 2 relativistic bosons with a possible emergent SO(5)_{b}global symmetry describing rotations between a_{f}= 2 fundamental fermions,_{b}= 2 fundamental bosons, and a SO(5)_{f}×SO(5)_{b}global symmetry, which describes a deconfined quantum critical point between a confining state which breaks SO(5)_{f}and a confining state which breaks SO(5)_{b}. The pattern of symmetry breaking within both SO(5)s is determined by terms likely irrelevant at the critical point, which can be chosen to obtain a transition between Néel order and