Gauge symmetries and Hamiltonian constraints of a 2 + 1 topological string

Abstract

We study the algebra of constraints of the recently proposed classical topological string model in three dimensions. In addition to the diffeomorphism, this model has one more gauge symmetry which comes from the existence of a differential relation between invariants of a surface. As a result, such a string has no local degrees of freedom. The global degrees of freedom of this string describe one single classical massive 3d spinning particle.