Abstract

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 3 + 3 splitting of dimensions is carried out. With expansion in terms of the S 2 spherical harmonics, the fields are associated with SU ( N ) (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 SU ( N ) gauge generators.

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