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.
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References
O. Aharony, O. Bergman, D.L. Jafferis and J. Maldacena, N = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals, JHEP10 (2008) 091 [arXiv:0806.1218] [INSPIRE].
O. Aharony, M. Berkooz and N. Seiberg, Light cone description of (2, 0) superconformal theories in six-dimensions, Adv. Theor. Math. Phys.2 (1998) 119 [hep-th/9712117] [INSPIRE].
M.R. Douglas, On D = 5 super Yang-Mills theory and (2, 0) theory, JHEP02 (2011) 011 [arXiv:1012.2880] [INSPIRE].
N. Lambert, C. Papageorgakis and M. Schmidt-Sommerfeld, M5-Branes, D4-branes and Quantum 5D super-Yang-Mills, JHEP01 (2011) 083 [arXiv:1012.2882] [INSPIRE].
C.M. Hull and N. Lambert, Emergent Time and the M5-Brane, JHEP06 (2014) 016 [arXiv:1403.4532] [INSPIRE].
N. Lambert and P. Richmond, (2, 0) Supersymmetry and the Light-Cone Description of M5-branes, JHEP02 (2012) 013 [arXiv:1109.6454] [INSPIRE].
N. Lambert and M. Owen, Non-Lorentzian Field Theories with Maximal Supersymmetry and Moduli Space Dynamics, JHEP10 (2018) 133 [arXiv:1808.02948] [INSPIRE].
R. Mouland, Supersymmetric Soliton σ-models from Non-Lorentzian Field Theories, arXiv:1911.11504 [INSPIRE].
N. Lambert and R. Mouland, Non-Lorentzian RG flows and Supersymmetry, JHEP06 (2019) 130 [arXiv:1904.05071] [INSPIRE].
N. Lambert, A. Lipstein and P. Richmond, Non-Lorentzian M5-brane Theories from Holography, JHEP08 (2019) 060 [arXiv:1904.07547] [INSPIRE].
C.N. Pope, A. Sadrzadeh and S.R. Scuro, Timelike Hopf duality and type IIA* string solutions, Class. Quant. Grav.17 (2000) 623 [hep-th/9905161] [INSPIRE].
N. Beisert et al., Review of AdS/CFT Integrability: An Overview, Lett. Math. Phys.99 (2012) 3 [arXiv:1012.3982] [INSPIRE].
N. Beisert, A. Garus and M. Rosso, Yangian Symmetry for the Action of Planar \( \mathcal{N} \) = 4 Super Yang-Mills and \( \mathcal{N} \) = 6 Super Chern-Simons Theories, Phys. Rev.D 98 (2018) 046006 [arXiv:1803.06310] [INSPIRE].
C. Beem, M. Lemos, P. Liendo, W. Peelaers, L. Rastelli and B.C. van Rees, Infinite Chiral Symmetry in Four Dimensions, Commun. Math. Phys.336 (2015) 1359 [arXiv:1312.5344] [INSPIRE].
P. Hoxha, R.R. Martinez-Acosta and C.N. Pope, Kaluza-Klein consistency, Killing vectors and Kähler spaces, Class. Quant. Grav.17 (2000) 4207 [hep-th/0005172] [INSPIRE].
Y.-t. Huang and A.E. Lipstein, Dual Superconformal Symmetry of N = 6 Chern-Simons Theory, JHEP11 (2010) 076 [arXiv:1008.0041] [INSPIRE].
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Lambert, N., Lipstein, A., Mouland, R. et al. Bosonic symmetries of (2, 0) DLCQ field theories. J. High Energ. Phys. 2020, 166 (2020). https://doi.org/10.1007/JHEP01(2020)166
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DOI: https://doi.org/10.1007/JHEP01(2020)166