Vector-tensor duality in the five dimensional supersymmetric Green-Schwarz mechanism

Abstract

The five dimensional version of the Green-Schwarz mechanism can be invoked to cancel U(1) anomalies on the boundaries of brane world models. In five dimensions there are two dual descriptions that employ either a two-form tensor field or a vector field. We present the supersymmetric extensions of these dual theories using four dimensional [Formula Presented] superspace. For the supersymmetrization of the five dimensional Chern-Simons three-form this requires the introduction of a new chiral Chern-Simons multiplet. We derive the supersymmetric vector/tensor duality relations and show that not only is the usual one-/two-form duality modified, but that there is also an interesting duality relat..