Abstract
We construct a 6D nonabelian \( \mathcal{N}=\left(1,\ 0\right) \) theory by coupling an \( \mathcal{N}=\left(1,\ 0\right) \) tensor multiplet to an \( \mathcal{N}=\left(1,\ 0\right) \) hypermultiplet. While the \( \mathcal{N}=\left(1,\ 0\right) \) tensor multiplet is in the adjoint representation of the gauge group, the hypermultiplet can be in the fundamental representation or any other representation. If the hypermultiplet is also in the adjoint representation of the gauge group, the supersymmetry is enhanced to \( \mathcal{N}=\left(2,\ 0\right) \), and the theory is identical to the (2, 0) theory of Lambert and Papageorgakis (LP). Upon dimension reduction, the (1, 0) theory can be reduced to a general \( \mathcal{N}=1 \) supersymmetric Yang-Mills theory in 5D. We discuss briefly the possible applications of the theories to multi M5-branes.
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References
J.M. Maldacena, The Large N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [INSPIRE].
A. Gustavsson, Algebraic structures on parallel M2-branes, Nucl. Phys. B 811 (2009) 66 [arXiv:0709.1260] [INSPIRE].
J. Bagger and N. Lambert, Gauge symmetry and supersymmetry of multiple M2-branes, Phys. Rev. D 77 (2008) 065008 [arXiv:0711.0955] [INSPIRE].
O. Aharony, O. Bergman, D.L. Jafferis and J.M. Maldacena, \( \mathcal{N}=6 \) superconformal Chern-Simons-matter theories, M2-branes and their gravity duals, JHEP 10 (2008) 091 [arXiv:0806.1218] [INSPIRE].
N. Lambert and C. Papageorgakis, Nonabelian (2, 0) Tensor Multiplets and 3-algebras, JHEP 08 (2010) 083 [arXiv:1007.2982] [INSPIRE].
J. Bagger, N. Lambert, S. Mukhi and C. Papageorgakis, Multiple Membranes in M-theory, Phys. Rept. 527 (2013) 1 [arXiv:1203.3546] [INSPIRE].
N. Lambert, M-Theory and Maximally Supersymmetric Gauge Theories, Ann. Rev. Nucl. Part. Sci. 62 (2012) 285 [arXiv:1203.4244] [INSPIRE].
N. Lambert and D. Sacco, M2-branes and the (2, 0) superalgebra, JHEP 09 (2016) 107 [arXiv:1608.04748] [INSPIRE].
P. Kucharski, N. Lambert and M. Owen, The (2, 0) Superalgebra, Null M-branes and Hitchin’s System, JHEP 10 (2017) 126 [arXiv:1706.00232] [INSPIRE].
F.-M. Chen, A nonabelian (1, 0) tensor multiplet theory in 6D, JHEP 02 (2014) 034 [arXiv:1312.4330] [INSPIRE].
I.L. Buchbinder and N.G. Pletnev, Construction of 6D supersymmetric field models in N = (1,0) harmonic superspace, Nucl. Phys. B 892 (2015) 21 [arXiv:1411.1848] [INSPIRE].
N. Lambert and P. Richmond, (2, 0) Supersymmetry and the Light-Cone Description of M5-branes, JHEP 02 (2012) 013 [arXiv:1109.6454] [INSPIRE].
F. Bonetti, T.W. Grimm and S. Hohenegger, Non-Abelian Tensor Towers and (2, 0) Superconformal Theories, JHEP 05 (2013) 129 [arXiv:1209.3017] [INSPIRE].
H.-C. Kim and S. Kim, M5-branes from gauge theories on the 5-sphere, JHEP 05 (2013) 144 [arXiv:1206.6339] [INSPIRE].
O. Aharony, M. Berkooz, S. Kachru, N. Seiberg and E. Silverstein, Matrix description of interacting theories in six-dimensions, Adv. Theor. Math. Phys. 1 (1998) 148 [hep-th/9707079] [INSPIRE].
N. Lambert, C. Papageorgakis and M. Schmidt-Sommerfeld, M5-Branes, D4-branes and Quantum 5D super-Yang-Mills, JHEP 01 (2011) 083 [arXiv:1012.2882] [INSPIRE].
M.R. Douglas, On D = 5 super Yang-Mills theory and (2, 0) theory, JHEP 02 (2011) 011 [arXiv:1012.2880] [INSPIRE].
N. Lambert and P. Richmond, (2, 0) Supersymmetry and the Light-Cone Description of M5-branes, JHEP 02 (2012) 013 [arXiv:1109.6454] [INSPIRE].
C.M. Hull and N. Lambert, Emergent Time and the M5-Brane, JHEP 06 (2014) 016 [arXiv:1403.4532] [INSPIRE].
P.-M. Ho, K.-W. Huang and Y. Matsuo, A Non-Abelian Self-Dual Gauge Theory in 5 + 1 Dimensions, JHEP 07 (2011) 021 [arXiv:1104.4040] [INSPIRE].
Kuo-Wei Huang, Non-Abelian Chiral 2-Form and M5-Branes, arXiv:1206.3983 [INSPIRE].
P.-M. Ho and Y. Matsuo, Aspects of Effective Theory for Multiple M5-Branes Compactified On Circle, JHEP 12 (2014) 154 [arXiv:1409.4060] [INSPIRE].
F.-M. Chen, OSp(5|4) Superconformal Symmetry of \( \mathcal{N}=5 \) Chern-Simons Theory, Nucl. Phys. B 873 (2013) 372 [arXiv:1212.4316] [INSPIRE].
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Chen, FM. A 6D nonabelian (1, 0) theory. J. High Energ. Phys. 2018, 185 (2018). https://doi.org/10.1007/JHEP05(2018)185
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DOI: https://doi.org/10.1007/JHEP05(2018)185