Abstract
M-theory on AdS7 × S4 admits a description where the AdS7 factor is constructed as a timelike Hopf fibration over a non-compact three dimensional complex projective space \( {\tilde{\mathrm{\mathbb{CP}}}}^3 \) [1]. We consider the worldvolume theory for M5-branes at a fixed \( {\tilde{\mathrm{\mathbb{CP}}}}^3 \) radius which, after reduction along the timelike fibre, is given by an Ω-deformed Yang-Mills theory with eight supercharges. Taking the radius to infinity then induces a classical RG flow. We construct the fixed point action which has an enhanced 24 supercharges and which can be understood as the (2, 0) theory of M5-branes on flat space reduced along a compact null Killing direction.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
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].
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].
O. Aharony, O. Bergman, D.L. Jafferis and J. Maldacena, N = 6 superconformal Chern-Simons-matter theories, M 2-branes and their gravity duals, JHEP10 (2008) 091 [arXiv:0806.1218] [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, M 5-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 M 5-brane, JHEP06 (2014) 016 [arXiv:1403.4532] [INSPIRE].
N. Lambert and P. Richmond, (2, 0) supersymmetry and the light-cone description of M 5-branes, JHEP02 (2012) 013 [arXiv:1109.6454] [INSPIRE].
H.C. Kim et al., On instantons as Kaluza-Klein modes of M 5-branes, JHEP12 (2011) 031 [arXiv:1110.2175] [INSPIRE].
J. Kallen, J.A. Minahan, A. Nedelin and M. Zabzine, N 3-behavior from 5D Yang-Mills theory, JHEP10 (2012) 184 [arXiv:1207.3763] [INSPIRE].
H.-C. Kim, J. Kim and S. Kim, Instantons on the 5-sphere and M 5-branes, arXiv:1211.0144 [INSPIRE].
J.A. Minahan, A. Nedelin and M. Zabzine, 5D super Yang-Mills theory and the correspondence to AdS 7/CFT 6, J. Phys. A 46 (2013) 355401 [arXiv:1304.1016] [INSPIRE].
H.-C. Kim, S. Kim, S.-S. Kim and K. Lee, The general M 5-brane superconformal index, arXiv:1307.7660 [INSPIRE].
Z. Bern et al., D = 5 maximally supersymmetric Yang-Mills theory diverges at six loops, Phys. Rev.D 87 (2013) 025018 [arXiv:1210.7709] [INSPIRE].
C. Papageorgakis and A.B. Royston, Revisiting soliton contributions to perturbative amplitudes, JHEP09 (2014) 128 [arXiv:1404.0016] [INSPIRE].
H.-C. Kim and K. Lee, Supersymmetric M 5 brane theories on R × CP 2, JHEP07 (2013) 072 [arXiv:1210.0853] [INSPIRE].
N. Lambert and R. Mouland, Non-Lorentzian RG flows and supersymmetry, JHEP06 (2019) 130 [arXiv:1904.05071] [INSPIRE].
O. Aharony et al., 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].
N.A. Nekrasov, Seiberg-Witten prepotential from instanton counting, Adv. Theor. Math. Phys.7 (2003) 831 [hep-th/0206161] [INSPIRE].
S. Kim, S. Mukhi and A. Tomasiello, Timelike Hopf reduction and weakly coupled M 5-branes, unpublished.
J. Gutowski and G. Papadopoulos, AdS calibrations, Phys. Lett.B 462 (1999) 81 [hep-th/9902034] [INSPIRE].
M. Henningson and K. Skenderis, The holographic Weyl anomaly, JHEP07 (1998) 023 [hep-th/9806087] [INSPIRE].
H. Linander and F. Ohlsson, (2, 0) theory on circle fibrations, JHEP01 (2012) 159 [arXiv:1111.6045] [INSPIRE].
J.H. Schwarz, Highly effective actions, JHEP (2014) 088 [arXiv:1311.0305] [INSPIRE].
N. Lambert and M. Owen, Non-Lorentzian field theories with maximal supersymmetry and moduli space dynamics, JHEP10 (2018) 133 [arXiv:1808.02948] [INSPIRE].
M. Taylor, Lifshitz holography, Class. Quant. Grav.33 (2016) 033001 [arXiv:1512.03554] [INSPIRE].
C.M. Hull, Timelike T duality, de Sitter space, large N gauge theories and topological field theory, JHEP07 (1998) 021 [hep-th/9806146] [INSPIRE].
C.M. Hull, Duality and the signature of space-time, JHEP11 (1998) 017 [hep-th/9807127] [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: 1904.07547
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, 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 licence, and indicate if changes were made.
The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Lambert, N., Lipstein, A. & Richmond, P. Non-Lorentzian M5-brane theories from holography. J. High Energ. Phys. 2019, 60 (2019). https://doi.org/10.1007/JHEP08(2019)060
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP08(2019)060