Towards 2+4 formulation of M5-brane

Ko, Sheng-Lan; Vanichchapongjaroen, Pichet

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
• Public URL: https://durham-repository.worktribe.com/output/1303305