Abstract
We construct a general nonabelian (1, 0) tensor multiplet theory in six dimensions. The gauge field of this (1, 0) theory is non-dynamical, and the theory contains a continuous parameter b. When b = 1/2, the (1, 0) theory possesses an extra discrete symmetry enhancing the supersymmetry to (2, 0), and the theory turns out to be identical to the (2, 0) theory of Lambert and Papageorgakis (LP). Upon dimension reduction, we obtain a general \( \mathcal{N} \) = 1 supersymmetric Yang-Mills theory in five dimensions. The applications of the theories to D4 and M5-branes are briefly discussed.
Article PDF
Similar content being viewed by others
References
N. Lambert and C. Papageorgakis, Nonabelian (2,0) Tensor Multiplets and 3-algebras, JHEP 08 (2010) 083 [arXiv:1007.2982] [INSPIRE].
H. Singh, Super-Yang-Mills and M5-branes, JHEP 08 (2011) 136 [arXiv:1107.3408] [INSPIRE].
H. Singh, The Yang-Mills and chiral fields in six dimensions, JHEP 02 (2013) 056 [arXiv:1211.3281] [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].
H. Samtleben, E. Sezgin and R. Wimmer, (1,0) superconformal models in six dimensions, JHEP 12 (2011) 062 [arXiv:1108.4060] [INSPIRE].
H. Samtleben, E. Sezgin, R. Wimmer and L. Wulff, New superconformal models in six dimensions: Gauge group and representation structure, PoS(CORFU2011)071 [arXiv:1204.0542] [INSPIRE].
H. Samtleben, E. Sezgin and R. Wimmer, Six-dimensional superconformal couplings of non-abelian tensor and hypermultiplets, JHEP 03 (2013) 068 [arXiv:1212.5199] [INSPIRE].
D. Gaiotto, \( \mathcal{N} \) = 2 dualities, JHEP 08 (2012) 034 [arXiv:0904.2715] [INSPIRE].
D. Gaiotto and J. Maldacena, The Gravity duals of \( \mathcal{N} \) = 2 superconformal field theories, JHEP 10 (2012) 189 [arXiv:0904.4466] [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].
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].
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].
C.-S. Chu, A Theory of Non-Abelian Tensor Gauge Field with Non-Abelian Gauge Symmetry G × G,arXiv:1108.5131 [INSPIRE].
D. Fiorenza, H. Sati and U. Schreiber, Multiple M5-branes, String 2-connections and 7d nonabelian Chern-Simons theory, arXiv:1201.5277 [INSPIRE].
C.-S. Chu and S.-L. Ko, Non-abelian Action for Multiple Five-Branes with Self-Dual Tensors, JHEP 05 (2012) 028 [arXiv:1203.4224] [INSPIRE].
P.-M. Ho and Y. Matsuo, Note on non-Abelian two-form gauge fields, JHEP 09 (2012) 075 [arXiv:1206.5643] [INSPIRE].
K.-W. Huang, Non-Abelian Chiral 2-Form and M5-Branes, arXiv:1206.3983 [INSPIRE].
C.-S. Chu, S.-L. Ko and P. Vanichchapongjaroen, Non-Abelian Self-Dual String Solutions, JHEP 09 (2012) 018 [arXiv:1207.1095] [INSPIRE].
C.-S. Chu and P. Vanichchapongjaroen, Non-abelian Self-Dual String and M2-M5 Branes Intersection in Supergravity, JHEP 06 (2013) 028 [arXiv:1304.4322] [INSPIRE].
M.A. Bandres, A.E. Lipstein and J.H. Schwarz, Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry, JHEP 09 (2008) 027 [arXiv:0807.0880] [INSPIRE].
M.A. Bandres, A.E. Lipstein and J.H. Schwarz, \( \mathcal{N} \) = 8 Superconformal Chern-Simons Theories, JHEP 05 (2008) 025 [arXiv:0803.3242] [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].
F.-M. Chen, OSp(4|4) superconformal currents in three-dimensional \( \mathcal{N} \) = 4 Chern-Simons quiver gauge theories, Phys. Rev. D 87 (2013) 085007 [arXiv:1308.3844] [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].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1312.4330
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Chen, FM. A nonabelian (1, 0) tensor multiplet theory in 6D. J. High Energ. Phys. 2014, 34 (2014). https://doi.org/10.1007/JHEP02(2014)034
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP02(2014)034