English

Aspects of Superconformal Multiplets in D>4

High Energy Physics - Theory 2016-12-21 v4

Abstract

We explicitly construct and list all unitary superconformal multiplets, along with their index contributions, in five and six dimensions. From this data, we uncover various unifying themes in the representation theory of five- and six-dimensional superconformal field theories. At the same time, we provide a detailed argument for the complete classification of unitary irreducible representations in five dimensions using a combination of physical and mathematical techniques.

Keywords

Cite

@article{arxiv.1606.00810,
  title  = {Aspects of Superconformal Multiplets in D>4},
  author = {Matthew Buican and Joseph Hayling and Constantinos Papageorgakis},
  journal= {arXiv preprint arXiv:1606.00810},
  year   = {2016}
}

Comments

118 pages; v2 typos corrected and references added ; v3 classification of 5D unitary multiplets corrected and C-type multiplets removed ; v4 discussion of the procedure for obtaining irreps of the SCA improved and typos corrected, published version

R2 v1 2026-06-22T14:16:11.544Z