Fuzzy Kaluza-Klein induced M2's from a single M5

TL;DR

This paper introduces a novel Kaluza-Klein reduction method to derive multiple M2 brane dynamics from a single M5 brane, connecting M-theory objects through a systematic algebraic procedure.

Contribution

It presents a new reduction technique that derives ABJM theory from M5 branes using fuzzy spherical harmonics and gauge algebra expansions.

Findings

Derived ABJM theory from M5 brane action.

Established a connection between M5 and M2 branes via Kaluza-Klein reduction.

Provided a systematic procedure for multiple M2 brane dynamics.

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.