Super-$\mathrm{Lie}_\infty$ T-Duality and M-Theory
Super-$\mathrm{Lie}_\infty$ T-Duality and M-Theory
Super $L_\infty$-algebras unify extended super-symmetry with rational classifying spaces for higher flux densities: The super-invariant super-fluxes which control super $p$-branes and their supergravity target super-spaces are, together with their (non-linear) Bianchi identities, neatly encoded in (non-abelian) super-$L_\infty$ cocycles. These are the rational shadows of flux-quantization laws (in ordinary cohomology, K-theory, …