Abstract
We present a nonabelian Lagrangian that appears to have (2, 0) superconformal symmetry and that can be coupled to a supergravity background. But for our construction to work, we have to break this superconformal symmetry by imposing as a constraint on top of the Lagrangian that the fields have vanishing Lie derivatives along a Killing direction.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
J. Bagger and N. Lambert, Gauge symmetry and supersymmetry of multiple M 2-branes, Phys. Rev. D 77 (2008) 065008 [arXiv:0711.0955] [INSPIRE].
A. Gustavsson, Algebraic structures on parallel M 2-branes, Nucl. Phys. B 811 (2009) 66 [arXiv:0709.1260] [INSPIRE].
O. Aharony, O. Bergman, D.L. Jafferis and J. Maldacena, N = 6 superconformal Chern-Simons-matter theories, M 2-branes and their gravity duals, JHEP 10 (2008) 091 [arXiv:0806.1218] [INSPIRE].
E. Bergshoeff, E. Sezgin and A. Van Proeyen, (2, 0) tensor multiplets and conformal supergravity in D = 6, Class. Quant. Grav. 16 (1999) 3193 [hep-th/9904085] [INSPIRE].
C. Cordova and D.L. Jafferis, Five-Dimensional Maximally Supersymmetric Yang-Mills in Supergravity Backgrounds, JHEP 10 (2017) 003 [arXiv:1305.2886] [INSPIRE].
E. Andriolo, N. Lambert and C. Papageorgakis, Geometrical Aspects of An Abelian (2, 0) Action, JHEP 04 (2020) 200 [arXiv:2003.10567] [INSPIRE].
N. Lambert, (2, 0) Lagrangian Structures, Phys. Lett. B 798 (2019) 134948 [arXiv:1908.10752] [INSPIRE].
N. Lambert and C. Papageorgakis, Nonabelian (2, 0) Tensor Multiplets and 3-algebras, JHEP 08 (2010) 083 [arXiv:1007.2982] [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].
A. Gustavsson, The non-Abelian tensor multiplet, JHEP 07 (2018) 084 [arXiv:1804.04035] [INSPIRE].
E. Witten, Five-brane effective action in M-theory, J. Geom. Phys. 22 (1997) 103 [hep-th/9610234] [INSPIRE].
L. Dolan and C.R. Nappi, A Modular invariant partition function for the five-brane, Nucl. Phys. B 530 (1998) 683 [hep-th/9806016] [INSPIRE].
A. Sen, Self-dual forms: Action, Hamiltonian and Compactification, J. Phys. A 53 (2020) 084002 [arXiv:1903.12196] [INSPIRE].
A. Sen, Covariant Action for Type IIB Supergravity, JHEP 07 (2016) 017 [arXiv:1511.08220] [INSPIRE].
H. Samtleben, E. Sezgin and R. Wimmer, (1, 0) superconformal models in six dimensions, JHEP 12 (2011) 062 [arXiv:1108.4060] [INSPIRE].
A. Gustavsson, Five-dimensional Super-Yang-Mills and its Kaluza-Klein tower, JHEP 01 (2019) 222 [arXiv:1812.01897] [INSPIRE].
P.-M. Ho and Y. Matsuo, Aspects of Effective Theory for Multiple M 5-Branes Compactified On Circle, JHEP 12 (2014) 154 [arXiv:1409.4060] [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, C. Papageorgakis and M. Schmidt-Sommerfeld, M 5-Branes, D4-branes and Quantum 5D super-Yang-Mills, JHEP 01 (2011) 083 [arXiv:1012.2882] [INSPIRE].
C. Cordova and D.L. Jafferis, Complex Chern-Simons from M 5-branes on the Squashed Three-Sphere, JHEP 11 (2017) 119 [arXiv:1305.2891] [INSPIRE].
U. Gran, GAMMA: A Mathematica package for performing gamma matrix algebra and Fierz transformations in arbitrary dimensions, hep-th/0105086 [INSPIRE].
N. Lambert and T. Orchard, Null Reductions of M 5-Branes, arXiv:2005.14331 [INSPIRE].
N. Lambert, A. Lipstein, R. Mouland and P. Richmond, Bosonic symmetries of (2, 0) DLCQ field theories, JHEP 01 (2020) 166 [arXiv:1912.02638] [INSPIRE].
J.A. Minahan, A. Nedelin and M. Zabzine, 5D super Yang-Mills theory and the correspondence to AdS7/CFT6, J. Phys. A 46 (2013) 355401 [arXiv:1304.1016] [INSPIRE].
A. Gustavsson, Euclidean quantum M5 brane theory on S1 × S5, J. Phys. A 48 (2015) 265402 [arXiv:1501.06977] [INSPIRE].
D. Bak and A. Gustavsson, Nonabelian M 5-brane on \( {S}_q^6 \), JHEP 07 (2019) 130 [arXiv:1906.07344] [INSPIRE].
D. Bak and A. Gustavsson, One dyonic instanton in 5d maximal SYM theory, JHEP 07 (2013) 021 [arXiv:1305.3637] [INSPIRE].
H. Linander and F. Ohlsson, (2, 0) theory on circle fibrations, JHEP 01 (2012) 159 [arXiv:1111.6045] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2006.07557
Rights and permissions
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.
About this article
Cite this article
Gustavsson, A. A nonabelian M5 brane Lagrangian in a supergravity background. J. High Energ. Phys. 2020, 1 (2020). https://doi.org/10.1007/JHEP10(2020)001
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP10(2020)001