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Journal Article

Oxidizing Borcherds symmetries

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Kleinschmidt,  Axel
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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1301.1346
(Preprint), 229KB

JHEP2013_3_044.pdf
(Any fulltext), 574KB

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Citation

Kleinschmidt, A., & Palmkvist, J. (2013). Oxidizing Borcherds symmetries. Journal of high energy physics: JHEP, 2013(03): 044. doi:10.1007/JHEP03(2013)044.


Cite as: https://hdl.handle.net/11858/00-001M-0000-000E-77E9-3
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.