Abstract
We define a Jordan duality A → A* on the quantised charges A of five dimensional black holes and strings and an analogous Freudenthal duality x → x̃ on the quantised charges x of four dimensional stringy black holes, both of which are distinct from U-duality but leave the lowest order entropy invariant. We discuss the action of these maps on discrete U-duality invariants. Based on joint work with L. Borsten, M. J. Duff, and W. Rubens.
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