Monte-Carlo simulations of su(2) symmetric deconfined criticality action*

We discuss results of Monte Carlo simulations of su(2) symmetric deconfined criticality action in $CP^1$ formulation proposed by T. Senthil,et. al, Science {\bf 303}, 1490 (2004). Using high-temperature expansion we reformulate the partition function in terms of J-currents. The resulting configuration space is explicitly su(2) symmetric. Critical behavior in the region of possible deconfined critical point (DCP) is addressed by the flow method [A.B.Kuklov, et.al., Annals of Physics {\bf 321},1602(2006)] mapping critical properties of a system with small values of the gauge interaction $g$ at large sizes to a system with large $g$ and small sizes. We observe data collapse on a single master curve with the flow toward fluctuation induced I order transition. The unlikely possibility of existence of the lower tricritical point separating I order transitions from the DCP line is assessed in terms of disruption of the flow collapse.