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arXiv · 1912.02638

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

Neil Lambert·Arthur Lipstein·Rishi Mouland·Paul Richmond
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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 $AdS_7 \times S^4$ and reducing the $AdS_7$ 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.

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Neil Lambert, Arthur Lipstein, Rishi Mouland, Paul Richmond. 2020-05-26. Bosonic Symmetries of $(2,0)$ DLCQ Field Theories. https://doi.org/10.1007/jhep01(2020)166

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