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Bhargava's Cube and Black Hole Charges (2006.02494v2)
Published 3 Jun 2020 in hep-th and math.NT
Abstract: Black holes in a class of string compactifications, known as STU models, carry four electric and four magnetic charges. Furthermore a duality group, given by the product of three congruence subgroups of $SL(2,\mathbb{Z})$, acts on these integer valued charges. By placing these eight charges at the eight corners of a Bhargava cube, we provide a classification of the duality orbits in these theories.
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