Eur. Phys. J. C (2007) 51: 731-739
https://doi.org/10.1140/epjc/s10052-007-0317-4

Regular Article - Theoretical Physics

Couplings of N=1 chiral spinor multiplets

¹ II. Institut für Theoretische Physik, Universität Hamburg, Luruper Chaussee 149, 22761, Hamburg, Germany
² Zentrum für Mathematische Physik, Universität Hamburg, Bundesstrasse 55, 20146, Hamburg, Germany
³ I. Institut für Theoretische Physik, Universität Hamburg, Jungiusstrasse 9, 20355, Hamburg, Germany

^* e-mail: jan.louis@desy.de

Received: 8 March 2007
Published online: 22 May 2007

Abstract

We derive the action for n_L≥1 chiral spinor multiplets coupled to vector and scalar multiplets. We give the component form of the action, which contains gauge invariant mass terms for the antisymmetric tensors in the spinor superfield and additional Green–Schwarz couplings to vector fields. We observe that supersymmetry provides mass terms for the scalars in the spinor multiplet that do not arise from eliminating an auxiliary field. We construct the dual action by explicitly performing the duality transformations in superspace and give its component form.