The energy-momentum multiplet of supersymmetric defect field theories

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Defects in field theories break translation invariance, resulting in the non-conservation of the energy-momentum tensor in the directions normal to the defect. This violation is known as the displacement operator. We study 4d ${\cal N}=1$ theories with 3d defects preserving 3d ${\cal N}=1$ supersymmetry by analyzing the embedding of the 3d superspace in the 4d superspace. We use this to construct the energy-momentum multiplet of such defect field theories, which we call the defect multiplet and show how it incorporates the displacement operator. We also derive the defect multiplet by using a superspace Noether procedure.
Original languageEnglish
JournalJournal of High Energy Physics
Issue number10
Early online date3 Aug 2017
Publication statusE-pub ahead of print - 3 Aug 2017


  • hep-th


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