Ninebrane structures

Understand

String structures in degree four are associated with cancellation of anomalies of string theory in ten dimensions.

• Fivebrane structures in degree eight have recently been shown to be associated with cancellation of anomalies associated to the NS5-brane in string theory as well as the M5-brane in M-theory.
• We introduce and describe "Ninebrane structures" in degree twelve and demonstrate how they capture some anomaly cancellation phenomena in M-theory.
• Along the way we also define certain variants, considered as intermediate cases in degree nine and ten, which we call "2-Orientation" and "2-Spin structures", respectively.