Machiko Hatsuda, Kiyoshi Kamimura
We present M5 algebra to derive Courant brackets of the generalized geometry of $T\oplus \Lambda^2T^\ast \oplus \Lambda^5T^\ast$, which generate the generalized diffeomorphism including gauge transformations of three and six form gauge fields. The Dirac bracket between selfdual gauge fields on a M5-brane gives a $C^{[3]}$-twisted contribution to the Courant brackets. For M-theory compactified on five dimensional torus the U-duality symmetry is SO(5,5) where the M5 algebra basis is 16-dimensional spinor representation. M5 worldvolume diffeomorphism constraints can be written as bilinears in the basis and they become a SO(5,5) vector. We also present an extended space spanned by the 16-dimensional coordinates with section conditions determined from the M5 worldvolume diffeomorphism constraints.
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http://arxiv.org/abs/1305.2258
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