Aspects of Superconformal Multiplets in D>4
Matthew Buican, Joseph Hayling, Constantinos Papageorgakis
TL;DR
This paper classifies all unitary superconformal multiplets in five and six dimensions, revealing unifying themes in their representation theory and providing a comprehensive mathematical and physical analysis.
Contribution
It explicitly constructs all superconformal multiplets in 5D and 6D, offering a complete classification and insights into their representation theory.
Findings
All unitary superconformal multiplets in 5D and 6D are explicitly constructed.
Unifying themes in the representation theory of these multiplets are identified.
A detailed classification of unitary irreducible representations in 5D is provided.
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.
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