Extended Jackiw-Pi Model and Its Supersymmetrization

Abstract

We present an extended version of the so-called Jackiw-Pi (JP) model in three dimensions, and perform its supersymmetrization. Our field content has three multiplets: (i) Yang-Mills vector multiplet $(A_μ^I, λ^I)$, (ii) Parity-odd extra vector multiplet $(B_μ^I, χ^I)$, and (iii) Scalar multiplet $(C^I, ρ^I, f^I)$. The bosonic fields in these multiplets are the same as the original JP-model, except for the auxiliary field $~f^I$ which is new, while the fermions $λ^I, χ^I$ and $ρ^I$ are their super-partners. The basic difference from the original JP-model is the presence of the kinetic term for $C^I$ with its modified field-strength $H_μ^I \equiv D_μC^I + m B_μ^I$. The inclusion of the $C^I$-kinetic term is to comply with the recently-developed tensor hierarchy formulation for supersymmetrization.