Fuzzy Kaluza–Klein induced M2ʼs from a single M5 Original Research Article

We propose an algorithmic procedure of obtaining multiple M2 brane dynamics starting with an action of a single M5 brane. The procedure involves a novel Kaluza–Klein reduction. First, the M5 brane action is truncated to keep a few leading terms in the derivative expansion. Then image splitting of dimensions is carried out. With expansion in terms of the image spherical harmonics, the fields are associated with image (or its infinite extension) gauge algebra. We present an elaborate reduction procedure that leads to ABJM theory when the fuzzy spherical harmonics are replaced by image gauge generators.