Abstract
We present an interacting system of equations with sixteen supersymmetries and an SO(2) × SO(6) R-symmetry where the fields depend on two space and one null dimensions that is derived from a representation of the six-dimensional (2, 0) superalgebra. The system can be viewed as two M5-branes compactified on \( {S}_{-}^1\times {\mathbb{T}}^2 \) or equivalently as M2-branes on \( {\mathbb{R}}_{+}\times {\mathbb{R}}^2 \), where ± refer to null directions. We show that for a particular choice of fields the dynamics can be reduced to motion on the moduli space of solutions to the Hitchin system. We argue that this provides a description of intersecting null M2-branes and is also related by U-duality to a DLCQ description of four-dimensional maximally supersymmetric Yang-Mills.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
N. Lambert and C. Papageorgakis, Non-Abelian (2, 0) tensor multiplets and 3-algebras, JHEP 08 (2010) 083 [arXiv:1007.2982] [INSPIRE].
N. Lambert and D. Sacco, M 2-branes and the (2, 0) superalgebra, JHEP 09 (2016) 107 [arXiv:1608.04748] [INSPIRE].
N. Lambert and P. Richmond, (2, 0) supersymmetry and the light-cone description of M 5-branes, JHEP 02 (2012) 013 [arXiv:1109.6454] [INSPIRE].
C.M. Hull and N. Lambert, Emergent time and the M 5-brane, JHEP 06 (2014) 016 [arXiv:1403.4532] [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].
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].
O.J. Ganor and S. Sethi, New perspectives on Yang-Mills theories with sixteen supersymmetries, JHEP 01 (1998) 007 [hep-th/9712071] [INSPIRE].
A. Kapustin and S. Sethi, The Higgs branch of impurity theories, Adv. Theor. Math. Phys. 2 (1998) 571 [hep-th/9804027] [INSPIRE].
N.J. Hitchin, The selfduality equations on a Riemann surface, Proc. Lond. Math. Soc. 55 (1987) 59 [INSPIRE].
N. Dorey and A. Singleton, Superconformal quantum mechanics and the discrete light-cone quantisation of N = 4 SUSY Yang-Mills, JHEP 02 (2015) 067 [arXiv:1409.8440] [INSPIRE].
C.K. Saclioglu, Liouville and Painlevé equations and Yang-Mills strings, J. Math. Phys. 25 (1984) 3214 [INSPIRE].
R.S. Ward, Geometry of solutions of Hitchin equations on R 2, Nonlinearity 29 (2016) 756 [arXiv:1504.05746].
D. Gaiotto, G.W. Moore and A. Neitzke, Wall-crossing, Hitchin systems and the WKB approximation, arXiv:0907.3987 [INSPIRE].
K. Yonekura, Supersymmetric gauge theory, (2, 0) theory and twisted 5d super-Yang-Mills, JHEP 01 (2014) 142 [arXiv:1310.7943] [INSPIRE].
Y. Wang and D. Xie, Classification of Argyres-Douglas theories from M 5 branes, Phys. Rev. D 94 (2016) 065012 [arXiv:1509.00847] [INSPIRE].
D. Xie and K. Yonekura, The moduli space of vacua of N = 2 class S theories, JHEP 10 (2014) 134 [arXiv:1404.7521] [INSPIRE].
A. Neitzke, Hitchin systems in N = 2 field theory, in New dualities of supersymmetric gauge theories, J. Teschner ed., Springer, Cham Switzerland, (2016), pg. 53 [arXiv:1412.7120].
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: 1706.00232
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
Kucharski, P., Lambert, N. & Owen, M. The (2, 0) superalgebra, null M-branes and Hitchin’s system. J. High Energ. Phys. 2017, 126 (2017). https://doi.org/10.1007/JHEP10(2017)126
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP10(2017)126