Non-abelian gauge bosons in the compactified bosonic membrane theory

Abstract

We consider the bosonic membrane compactified on a torus. The membrane motion is stabilized by a topologically non-trivial background. We find that, in the narrow membrane limit, the mass formula to O(ħ;) reduces to exactly the same form as that of the compactified closed bosonic string theory, and we obtain (almost) massless vector bosons in the adjoint representation of a simply laced Lie group in D = 27. This is only dimension at which the gravitation and gauge bosons may coexist in that background.