  Recent discussions of higher rank symmetric (fractonic) gauge theories have
revealed the important role of Gauss constraints. This has prompted the present
study where a detailed hamiltonian analysis of such theories is presented.
Besides a general treatment, the traceless scalar charge theory is considered
in details. A new form for the action is given which, in 2+1 dimensions, yields
area preserving diffeomorphisms. Investigation of global symmetries reveals
that this diffeomorphism invariance induces a noncommuting charge algebra that
gets exactly mapped to the algebra of coordinates in the lowest Landau level
problem. Connections of this charge algebra to noncommutative fluid dynamics
and magnetohydrodynamics are shown.
