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Instanton wave and M-wave in multiple M5-branes system

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Abstract

We consider the non-abelian self-dual two-form theory (Chu and Ko, J. High Energy Phys. 1205:028, 2012) and find new exact solutions. Our solutions are supported by Yang–Mills (anti)instantons in four dimensions and describe a wave moving in null directions. We argue and provide evidence that these instanton wave solutions correspond to an M-wave (MW) on the worldvolume of multiple M5-branes. When dimensionally reduced on a circle, the MW/M5 system is reduced to the D0/D4 system with the D0-branes represented by the Yang–Mills instanton of the D4-branes Yang–Mills gauge theory. We show that this picture is precisely reproduced by the dimensional reduction of our instanton wave solutions.

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Notes

  1. Similar forms of gauge symmetry were also considered by [13], as well as [14] where an extra 3-form potential was introduced in addition to the propagating 1-form gauge potential. The latter formulation were further developed in [15–17] and provides a construction for a class of (1,0) superconformal models in six dimensions.

  2. The philosophy is very similar to the BLG [18–20] and ABJM model [21] of multiple M2-branes where a set of non-propagating Chern–Simons gauge fields was introduced in order to allow for a simple representation of the highly non-linear and non-local self interactions of the matter fields of the \({\mathcal{N}}=8\) supermultiplet in three dimensions.

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Acknowledgements

It is our pleasure to thank Kazuyuki Furuuchi, Sheng-Lan Ko, Christian Saemann, Richard Szabo, Pichet Vanichchapongjaroen and Martin Wolf for discussions. CSC is supported in part by the STFC Consolidated Grant ST/J000426/1 and by the grant 101-2112-M-007-021-MY3 of the National Science Council, Taiwan.

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Authors and Affiliations

  1. Department of Physics, National Tsing-Hua University, Hsinchu, 30013, Taiwan

    Chong-Sun Chu & Hiroshi Isono

  2. National Center for Theoretical Sciences, National Tsing-Hua University, Hsinchu, 30013, Taiwan

    Chong-Sun Chu

  3. Centre for Particle Theory and Department of Mathematics, Durham University, Durham, DH1 3LE, UK

    Chong-Sun Chu

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  1. Chong-Sun Chu
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Correspondence to Chong-Sun Chu.

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Chu, CS., Isono, H. Instanton wave and M-wave in multiple M5-branes system. Eur. Phys. J. C 73, 2586 (2013). https://doi.org/10.1140/epjc/s10052-013-2586-4

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