Bosonic symmetries of $(2,0)$ DLCQ field theories


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

Journal of High Energy Physics 01 (2020) 166
Rishi Mouland
Rishi Mouland
Research Associate in High Energy Theoretical Physics

My research interests include string theory, M-theory and conformal field theory