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M5 algebra and SO(5,5) duality

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Abstract

We present “M5 algebra” to derive Courant brackets of the generalized geometry of T ⊕ Λ2 T ∗ ⊕ Λ5 T ∗: the Courant bracket generates 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 a five dimensional torus the U-duality symmetry is SO(5,5) and the M5 algebra basis is in the 16-dimensional spinor representation. The M5 worldvolume diffeomorphism constraints can be written as bilinear forms of the basis and transform as 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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Authors and Affiliations

  1. Physics Department, Juntendo University, 270-1695, Tokyo, Japan

    Machiko Hatsuda

  2. KEK Theory Center, High Energy Accelerator Research Organization, Tsukuba, Ibaraki, 305-0801, Japan

    Machiko Hatsuda

  3. Department of Physics, Toho University, Funabashi, 274-8510, Japan

    Kiyoshi Kamimura

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  1. Machiko Hatsuda
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  2. Kiyoshi Kamimura
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Correspondence to Machiko Hatsuda.

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ArXiv ePrint: 1305.2258

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Hatsuda, M., Kamimura, K. M5 algebra and SO(5,5) duality. J. High Energ. Phys. 2013, 95 (2013). https://doi.org/10.1007/JHEP06(2013)095

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