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 $(A_{\mu }^I,{\lambda }^I)$, (ii) Parity-odd extra vector multiplet $(B_{\mu }^I,{\chi }^I)$, and (iii) Scalar multiplet $(C^I,{\rho }^I,f^I)$. 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 ${\lambda }^I,{\chi }^I$ and ${\rho }^I$ 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 $H_{\mu }^I\equiv D_{\mu }{C}^I+m{B}_{\mu }^I$. The inclusion of the $C^I$-kinetic term is to comply with the recently-developed tensor hierarchy formulation for supersymmetrization.

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References in corpus (3)

• Canonical bifurcation in higher derivative, higher spin, theories
• The Jackiw-Pi model: classical theory
• Self-dual non-Abelian N = 1 tensor multiplet in D = 2+ 2 dimensions

Cited by in corpus (4)

• New aspects of quantization of Jackiw-Pi model: field-antifield formalism and noncommutativity
• Non-Abelian Electric-Magnetic Duality with Supersymmetry in 4D and 10D
• Chern-Simons-Schrodinger theory on a one-dimensional lattice
• Noncommutative Jackiw-Pi model: One-loop renormalization