Young supertableaux and the large =4 superconformal algebra. (15th October 2019)

• Record Type: Journal Article
• Authors: Fearn, Sam
• Is Part Of: Physica scripta. Volume 94:Number 12(2019)
• Publication Date: 2019-10-15
• Subjects: extended supersymmetry -- superconformal field theory -- extended superconformal algebras -- finite superalgebras; Physics -- Periodicals; 530.05
• DOI: 10.1088/1402-4896/ab3b29
• Languages: English
• ISSNs: 0031-8949

Abstract

Abstract: In this paper we consider unitary highest weight irreducible representations of the 'Large'  = 4 superconformal algebra A γ in the Ramond sector as infinite-dimensional graded modules of its zero mode subalgebra, su ( 2 ∣ 2 ) . We describe how representations of su ( 2 ∣ 2 ) may be classified using Young supertableaux, and use the decomposition of A γ as an su ( 2 ∣ 2 ) module to discuss the states which contribute to the supersymmetric index I 1, previously proposed in the literature by Gukov, Martinec, Moore and Strominger.