%0 Journal Article
%T Conformal invariance of loop ensembles under Kardar-Parisi-Zhang dynamics
%A Xiangyu Cao
%A Alberto Rosso
%A Raoul Santachiara
%J Physics
%D 2015
%I arXiv
%R 10.1209/0295-5075/111/16001
%X We study scaling properties of the honeycomb fully packed loop ensemble associated with a lozenge tiling model of rough surface, when the latter is driven out of equilibrium by Kardar-Parisi-Zhang (KPZ) type dynamics. We show numerically that conformal invariance and signatures of critical percolation appear in the stationary KPZ state. In terms of the two-component Coulomb gas description of the Edwards-Wilkinson stationary state, our finding is understood as the invariance of one component under the effect of the non-linear KPZ term. On the other hand, we show a breaking of conformal invariance when the level lines of the other component are considered.
%U http://arxiv.org/abs/1506.03291v1