*with Xiaoyang Huang and Prof. Andy Lucas*

Normal fluids like water and air are described by the famous *Navier-Stokes Equations*, which apply to any system that respects Galileo symmetry. However, when the symmetry group is more exotic, novel terms may modify the NS equations and lead to interesting behaviour. For *Farrell, Huang, Lucas (2022)*, we investigated a fluid with the symmetry of a *helix*: only the combination $\ P_z + L_z/\xi\ $ is a conserved quantity, not $\ P_z$ or $\ L_z \ $ separately. Interestingly, the transport coefficients of the helical theory are partially *fixed* by symmetry alone, and the fluid also features transverse responses, for example supplying a torque in the presence of a uniform electric field!

The figure is a cartoon illustrating helical symmetry.