Deconfined critical theories

We pursue the paradigm advocated by Senthil {\em et al } and discuss a model in two-dimensions that exhibits deconfinement at criticality. There are also differences between this model and their paradigm. For example, in our model the transition line is typically first order, with a second order end point. We gratefully acknowledge grants DMR 0311761 (GM) and DMR 0354517 (RS). \\[4pt] T.Senthil {\em at al}, Phys. Rev. {\bf B 70}, 144407, (2004).