Monstrous M-Theory

In $26+1$ space-time dimensions, we introduce a gravity theory whose massless spectrum can be acted upon by the Monster group when reduced to $25+1$ dimensions. This generalizes M-theory in many respects and name it Monstrous M-theory, or M$^{2}$-theory. Upon Kaluza-Klein reduction M$^{2}$-theory irreducibly splits as $\mathbf{1}\oplus\mathbf{196,883}$, where $\mathbf{1}$ is identified with dilaton, $\mathbf{196,883}$ dimension of smallest non-trivial representation Monster. provides field explanation lowest instance Moonshine, clarifies definition automorphism Griess algebra, showing that such an algebra not merely sum unrelated spaces, but descends from states for M$^{2}$-theory, which includes Horowitz Susskind's bosonic subsector. Further evidence provided decomposition coefficients partition function Witten's extremal SCFT terms representations $SO_{24}$, little $25+1$; purely nature involved $SO_{24}$-representations may traced back unique feature $24$ allow generalization triality holding $8$ Last least, certain subsector coupled Rarita-Schwinger $26+1$, exhibits same number fermionic degrees freedom; cannot help conjecture existence would-be $\mathcal{N}=1$ supergravity