English

Bhargava's Cube and Black Hole Charges

High Energy Physics - Theory 2020-07-28 v2 Number Theory

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)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.

Cite

@article{arxiv.2006.02494,
  title  = {Bhargava's Cube and Black Hole Charges},
  author = {Nabamita Banerjee and Ajit Bhand and Suvankar Dutta and Ashoke Sen and Ranveer Kumar Singh},
  journal= {arXiv preprint arXiv:2006.02494},
  year   = {2020}
}

Comments

45 pages, 2 figures; v2: references added

R2 v1 2026-06-23T16:02:20.442Z