Bosonic Symmetries of $(2,0)$ DLCQ Field Theories

Lambert, Neil; Lipstein, Arthur; Mouland, Rishi; Richmond, Paul

Abstract

We investigate symmetries of the six-dimensional (2,0) theory reduced along a compact null direction. The action for this theory was deduced by considering M-theory on AdS7×S4 and reducing the AdS7 factor along a time-like Hopf fibration which breaks one quarter of the supersymmetry and reduces the isometry group from SO(6,2) to SU(3,1). The boundary theory was previously shown to have 24 supercharges and a Lifshitz scaling symmetry. In this paper, we show that it has four boost-like symmetries and an additional conformal symmetry which furnish a representation of SU(3,1) when combined with the other bosonic symmetries, providing a nontrivial check of the holographic correspondence.

Citation

Lambert, N., Lipstein, A., Mouland, R., & Richmond, P. (2020). Bosonic Symmetries of $(2,0)$ DLCQ Field Theories. Journal of High Energy Physics, 2020(01), Article 166. https://doi.org/10.1007/jhep01%282020%29166

• Journal Article Type: Article
• Acceptance Date: Jan 16, 2020
• Online Publication Date: Jan 28, 2020
• Publication Date: Jan 31, 2020
• Deposit Date: Jan 29, 2020
• Publicly Available Date: Jan 30, 2020
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2020
• Issue: 01
• Article Number: 166
• DOI: https://doi.org/10.1007/jhep01%282020%29166