Bhargava's Cube and Black Hole Charges

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,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.

Black Holes and Higher Composition Laws

“…During the completion of this manuscript the preprint [88] appeared, which has significant overlap with our discussion of the ST U model, but also contains interesting and significant developments regarding the ST U charge orbits not contained here.…”