Critical Super F-theories

We present F-theories that reduce to 10D Type II Green-Schwarz superstrings. They vary in manifest U-duality according to division between spacetime and “internal” coordinates. They are defined by selfdual current superalgebras in higher worldvolume dimensions with manifest $\mathrm{G}\times {\mathrm{G}}^{\mathrm{\prime }}$ symmetry where the spacetime symmetry $\mathrm{G}={\mathrm{E}}_{n(n)}$ ranges over the (split form of the) exceptional groups with ranks $n=\mathrm{D}+1\le 7$ and the internal symmetry ${\mathrm{G}}^{\mathrm{\prime }}=\mathrm{G}\mathrm{L}(10-\mathrm{D})$.