Ninebrane structures
Abstract
String structures in degree 4 are associated with cancelation of anomalies of string theory in 10 dimensions. Fivebrane structures in degree 8 have recently been shown to be associated with cancelation of anomalies associated to fivebranes in string theory and Mtheory. We introduce and describe Ninebrane structures in degree 12 and demonstrate how they capture some anomaly cancelation phenomena in Mtheory. Along the way we also define certain variants, considered as intermediate cases in degrees 9 and 10, which we call 2Orientation and 2Spin structures, respectively. As in the lower degree cases, we also discuss the natural twists of these structures and characterize the corresponding topological groups associated to each of the structures, which likewise admit refinements to differential cohomology.
 Publication:

International Journal of Geometric Methods in Modern Physics
 Pub Date:
 February 2015
 DOI:
 10.1142/S0219887815500413
 arXiv:
 arXiv:1405.7686
 Bibcode:
 2015IJGMM..1250041S
 Keywords:

 Whitehead tower;
 string group;
 obstruction theory;
 anomalies;
 twisted structures;
 differential cohomology;
 High Energy Physics  Theory;
 Mathematical Physics;
 Mathematics  Algebraic Topology;
 Mathematics  Differential Geometry
 EPrint:
 22 pages, discussion on generators for 2orientations and 2Spin structures corrected, presentation improved, final version