Congratulations to José Garre Rubio and András Molnár on the publication of their work "On two-dimensional tensor network group symmetries" in New Journal of Physics [New J. Phys. 27 104510 (2025)].

For further information on this paper, take a look at the abstract below and at the open-access article (DOI: 10.1088/1367-2630/ae124f).

Abstract
We introduce two-dimensional tensor-network representations of finite groups carrying a 4-cocycle index. We characterize the associated gapped (2+1)D phases that emerge when these anomalous symmetries act on tensor-network ground states. We further develop related tensor-network unitaries that generate symmetric states representing (3+1)D symmetry-protected topological phases. Although aspects of these constructions have been previously addressed, our contribution unifies them within a single tensor-network framework and emphasizes the explicit formulation of local tensor equations encoding global consistency conditions.

This work has received support through the ERC grant SEQUAM and the Austrian Science Fund FWF (grant DOIs 10.55776/J4796 and 10.55776/COE1).