2017/12/31 by Christian Sämann, Christian Saemann, Lennart Schmidt · 1 citation
Mathematics · Physics and Astronomy · #Action (physics) #Algebra over a field #Black Holes and Theoretical Physics #Brane #Connection (principal bundle) #Gauge theory #Geometry #Lie algebra #Mathematical physics #Mathematics #Multiplet #Noncommutative and Quantum Gravity Theories #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum mechanics #String (physics) #String theory #Supersymmetry #Tensor (intrinsic definition) #Theoretical physics #hep-th #math-ph #math.MP
paper · pdf · doi:10.1063/1.5026545
published as J. Math. Phys. 59 (2018) 043502 · 1+39 pages, v3: minor improvements, published version
openalex publication_date 2018/04/01 · arxiv created 2018/04/05 · arxiv updated 2018/04/06 · openalex created_date 2018/04/13 · openalex updated_date 2026/08/05
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.