  We consider the interplay between the antiferromagnetic and Kekul\'e valence
bond solid orderings in the zero energy Landau levels of neutral monolayer and
bilayer graphene. We establish the presence of Wess-Zumino-Witten terms between
these orders: this implies that their quantum fluctuations are described by the
deconfined critical theories of quantum spin systems. We present implications
for experiments, including the possible presence of excitonic superfluidity in
bilayer graphene.
