# King's College London

## The energy-momentum multiplet of supersymmetric defect field theories

Research output: Contribution to journalArticle

Original language English Journal of High Energy Physics 2017 10 3 Aug 2017 https://doi.org/10.1007/JHEP08(2017)010 18 Jul 2017 3 Aug 2017 Link to publication in Scopus

## Bibliographical note

42 pages, v2: Fixed TeX package problem

### Documents

• 1701.04323v2, 581 KB, application/pdf

Version:Final published version

Licence:CC BY

## Abstract

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.