Topologically massive gauge theories and their dual factorized gauge-invariant formulation

Bertrand, Bruno [UCL] Govaerts, Jan [UCL]

There exists a well-known duality between the Maxwell-Chern-Simons theory and the 'self-dual' massive model in ( 2 + 1) dimensions. This dual description may be extended to topologically massive gauge theories (TMGT) for forms of arbitrary rank and in any dimension. This communication introduces the construction of this type of duality through a reparametrization of the 'master' theory action. The dual action thereby obtained preserves the full gauge symmetry structure of the original theory. Furthermore, the dual action is factorized into a propagating sector of massive gauge-invariant variables and a decoupled sector of gauge-variant variables defining a pure topological field theory. Combining the results obtained within the Lagrangian and Hamiltonian formulations, a completed structure for a gauge-invariant dual factorization of TMGT is thus achieved.