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Towards 2+4 formulation of M5-brane

Ko, Sheng-Lan; Vanichchapongjaroen, Pichet

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Authors

Sheng-Lan Ko

Pichet Vanichchapongjaroen



Abstract

We present an attempt to formulate an action for the worldvolume theory of a single M5-brane, based on the splitting of the six worldvolume directions into 2+4, which breaks manifest Lorentz invariance from SO(1; 5) to SO(1; 1) SO(4). To this end, an action for the free six-dimensional (2,0) chiral tensor multiplet, and separately, a nonlinearly interacting chiral 2-form action are constructed. By studying the Lagrangian formulation for the chiral 2-form with 2+4 splitting, it is suggested that, if exists, the modied dieomorphism of the theory on curved six-dimensional space-time is less trivial than its 1+5 and 3+3 counterpart, thus hindering the coupling of the chiral 2-form to the induced metric on the worldvolume of the M5-brane. We discuss diculties of further generalisation of the theory. Finally, in terms of Hamiltonian analysis, we show that the naively gauge-xed failed-PST-covariantised Lagrangian has the correct number of degrees of freedom, and satises the hyper-surface deformation algebra.

Citation

Ko, S., & Vanichchapongjaroen, P. (2015). Towards 2+4 formulation of M5-brane. Journal of High Energy Physics, 2015(12), 1-26. https://doi.org/10.1007/jhep12%282015%29170

Journal Article Type Article
Acceptance Date Dec 15, 2015
Online Publication Date Dec 28, 2015
Publication Date Dec 28, 2015
Deposit Date Apr 25, 2019
Publicly Available Date Apr 25, 2019
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2015
Issue 12
Pages 1-26
DOI https://doi.org/10.1007/jhep12%282015%29170

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
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.






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