Critical Super F-theories

Abstract

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 $\mathrm{G}\times {\mathrm{G}}^{\prime }$ 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 ${\mathrm{G}}^{\prime }=\mathrm{GL}(10-\mathrm{D})$.

Notation improved and minor errors corrected

References in corpus (5)

• Generalised Geometry for M-Theory
• Exceptional Field Theory III: E${}_{8(8)}$
• Supersymmetric E${}_{7(7)}$ Exceptional Field Theory
• Fermions and Supersymmetry in ${\mathrm{E}}_{6(6)}$ Exceptional Field Theory
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• Gauging Unbroken Symmetries in F-theory
• Perturbative F-theory 10-brane and M-theory 5-brane
• Enlarged exceptional symmetries of first-quantized F-theory
• F-theory with zeroth-quantized ghosts
• F-theory superspace backgrounds
• F-brane Superspace: The New World Volume
• M Theory from F Theory
• F-theory amplitudes