Abstract
We present an action for a sixdimensional superconformal field theory containing a nonabelian 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 2algebra 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 selfdual strings. Our action can be written down for each of the simply laced Dynkin diagrams, and each case reduces to a fourdimensional supersymmetric YangMills theory with corresponding gauge Lie algebra. Our action also reduces nicely to an M2brane model which is a deformation of the AharonyBergmanJafferisMaldacena (ABJM) model. While this action is certainly not the desired M5brane model, we regard it as a key stepping stone towards a potential construction of the (2, 0)theory.
Original language  English 

Article number  043502 
Journal  Journal of Mathematical Physics 
Volume  59 
Issue number  4 
Early online date  4 Apr 2018 
DOIs  
Publication status  Published  Apr 2018 
ASJC Scopus subject areas
 Statistical and Nonlinear Physics
 Mathematical Physics
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Profiles

Christian Saemann
 School of Mathematical & Computer Sciences  Professor
 School of Mathematical & Computer Sciences, Mathematics  Professor
Person: Academic (Research & Teaching)