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

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 $Ad{S}_7\times S^4$ and reducing the $Ad{S}_7$ 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.

25 pages, minor clarifications and typo corrections. Published in JHEP

References in corpus (8)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• M5-Branes, D4-Branes and Quantum 5D super-Yang-Mills
• On D=5 super Yang-Mills theory and (2,0) theory
• Dual Superconformal Symmetry of N=6 Chern-Simons Theory
• Non-Lorentzian M5-brane Theories from Holography
• Emergent Time and the M5-Brane
• Non-Lorentzian RG flows and Supersymmetry
• Non-Lorentzian Field Theories with Maximal Supersymmetry and Moduli Space Dynamics

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• Five-Dimensional Path Integrals for Six-Dimensional Conformal Field Theories
• Non-Lorentzian Avatars of (1,0) Theories
• Supersymmetric Soliton $\sigma$-models from Non-Lorentzian Field Theories
• Non-Relativistic Supersymmetry on Curved Three-Manifolds
• RG Flows and Symmetry Enhancement in Five-Dimensional Lifshitz Gauge Theories
• Instanton Worldlines in Five-Dimensional $\Omega$-Deformed Gauge Theory
• Yangian Symmetry in Five Dimensions
• Conformal Mapping of Non-Lorentzian Geometries in SU(1,2) Conformal Field Theory