M5 algebra and SO(5,5) duality

A bstract We present “M5 algebra” to derive Courant brackets of the generalized geometry of T ⊕ Λ 2 T ∗ ⊕ Λ 5 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...

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Bibliographic Details
Published in:The journal of high energy physics 2013-06, Vol.2013 (6), p.1-19, Article 95
Main Authors: Hatsuda, Machiko, Kamimura, Kiyoshi
Format: Article
Language:English
Subjects:
Algebra
Brackets
Classical and Quantum Gravitation
Elementary Particles
Gages
Gauges
High energy physics
M theory
Mathematical analysis
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
Transformations (mathematics)
Vectors (mathematics)
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Summary:A bstract We present “M5 algebra” to derive Courant brackets of the generalized geometry of T ⊕ Λ 2 T ∗ ⊕ Λ 5 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP06(2013)095