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PreprintarXiv licencearXiv

A Quantum-Mechanical Model for the M5-Brane

  • Manuel Artime
  • Ralph Blumenhagen
  • Thomas Raml
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Abstract

We present a maximally supersymmetric extension of the BFSS matrix model based on the 5-Lie algebra ๐’œ6. The theory is Lagrangian, promotes the BFSS 2-bracket structure constants to dynamical objects governed by a Chern-Simons-like kinetic term, and displays features expected from a theory of M5-branes. We show that it can also be obtained from the single lightcone M5-brane action on a spatial five-sphere after a truncation to the time coordinate. The resulting theory is a consistent truncation and, analogously to the U(2) BFSS model, supports an interpretation of the ๐’œ6 theory as a quantum-mechanical model for the lowest-lying modes of the M5-brane.

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Cite

BibTeXRIS
BibTeX
@misc{artime2026quantummechanical,
  title = {{A Quantum-Mechanical Model for the M5-Brane}},
  author = {Manuel Artime and Ralph Blumenhagen and Thomas Raml},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.25207},
  eprint = {2609.25207},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.25207},
}
RIS
TY  - UNPB
TI  - A Quantum-Mechanical Model for the M5-Brane
AU  - Manuel Artime
AU  - Ralph Blumenhagen
AU  - Thomas Raml
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2609.25207
UR  - https://arxiv.org/abs/2609.25207
AB  - We present a maximally supersymmetric extension of the BFSS matrix model based on the 5-Lie algebra ๐’œ_6. The theory is Lagrangian, promotes the BFSS 2-bracket structure constants to dynamical objects governed by a Chern-Simons-like kinetic term, and displays features expected from a theory of M5-branes. We show that it can also be obtained from the single lightcone M5-brane action on a spatial five-sphere after a truncation to the time coordinate. The resulting theory is a consistent truncation and, analogously to the U(2) BFSS model, supports an interpretation of the ๐’œ_6 theory as a quantum-mechanical model for the lowest-lying modes of the M5-brane.
ER  -