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  • Access by Xinjiang University

Interacting N=1 vector-spinor multiplet in 3D

Hitoshi Nishino* and Subhash Rajpoot

  • Department of Physics & Astronomy, California State University, 1250 Bellflower Boulevard, Long Beach, California 90840, USA

  • *hnishino@csulb.edu
  • rajpoot@csulb.edu

Phys. Rev. D 83, 127701 – Published 8 June, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.127701

Abstract

We present an N=1 supersymmetric multiplet with a vector-spinor field in three dimensions. We call this the vector-spinor multiplet with the field content (ψμ,Aμ,λ), where ψμ is a vector spinor, Aμ is a vector, while λ is a gaugino. Based on on-shell component field formulation, we can accommodate N=1 supersymmetric Dirac-Born-Infeld (SDBI) interactions consistently with supersymmetry. This is possible even in the presence of the vector spinor. The ψμ-field equation contains a nontrivial interaction term with Aμ. Moreover, it turns out that in the presence of mass terms, one physical degree of freedom in the original λ is transferred to that of ψμ, making the latter propagating. In other words, our model presents nontrivial rewriting of SDBI interaction in terms of (ψμ,Aμ) instead of (Aμ,λ).

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