Abstract
The tensor hierarchy of maximal supergravity in D dimensions is known to be closely related to a Borcherds (super)algebra that is constructed from the global symmetry group E 11−D . We here explain how the Borcherds algebras in different dimensions are embedded into each other and can be constructed from a unifying Borcherds algebra. The construction also has a natural physical explanation in terms of oxidation. We then go on to show that the Hodge duality that is present in the tensor hierarchy has an algebraic counterpart. For D > 8 the Borcherds algebras we find differ from the ones existing in the literature although they generate the same tensor hierarchy.
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ArXiv ePrint: 1301.1346
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Kleinschmidt, A., Palmkvist, J. Oxidizing Borcherds symmetries. J. High Energ. Phys. 2013, 44 (2013). https://doi.org/10.1007/JHEP03(2013)044
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DOI: https://doi.org/10.1007/JHEP03(2013)044