Towards an M5-brane model I: A 6d superconformal field theory

Christian Sämann, Lennart Schmidt

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)
113 Downloads (Pure)


We present an action for a six-dimensional superconformal field theory containing a non-abelian tensor multiplet. All of the ingredients of this action have been available in the literature. We bring these pieces together by choosing the string Lie 2-algebra as a gauge structure, which we motivated in previous work. The kinematical data contains a connection on a categorified principal bundle, which is the appropriate mathematical description of the parallel transport of self-dual strings. Our action can be written down for each of the simply laced Dynkin diagrams, and each case reduces to a four-dimensional supersymmetric Yang-Mills theory with corresponding gauge Lie algebra. Our action also reduces nicely to an M2-brane model which is a deformation of the Aharony-Bergman-Jafferis-Maldacena (ABJM) model. While this action is certainly not the desired M5-brane model, we regard it as a key stepping stone towards a potential construction of the (2, 0)-theory.

Original languageEnglish
Article number043502
JournalJournal of Mathematical Physics
Issue number4
Early online date4 Apr 2018
Publication statusPublished - Apr 2018

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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