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In this paper we consider the branching of representations of the `Large' $\mathcal{N}=4$ superconformal algebra $A_\gamma$ in the Ramond sector, into its zero mode subalgebra which we show to be… Click to show full abstract
In this paper we consider the branching of representations of the `Large' $\mathcal{N}=4$ superconformal algebra $A_\gamma$ in the Ramond sector, into its zero mode subalgebra which we show to be the finite superalgebra $\mathfrak{su}(2|2)$. We describe how representations of $\mathfrak{su}(2|2)$ may be classified using Young supertableaux, and use this branching to discuss the states which contribute to a supersymmetric index suitable for $A_\gamma$ previously proposed in the literature.
Keywords:
young supertableaux;
mathcal superconformal;
superconformal algebra;
large mathcal
Journal Title: Physica Scripta
Year Published: 2019
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Journal Title: Physica Scripta
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!