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Journal Article

#### Oxidizing Borcherds symmetries

##### Locator

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##### Fulltext (public)

1301.1346

(Preprint), 229KB

JHEP2013_3_044.pdf

(Any fulltext), 574KB

##### Supplementary Material (public)

There is no public supplementary material available

##### 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: http://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.