# Bhargava’s cube and black hole charges

Bhargava’s cube and black hole charges 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\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$${{\mathbb {Z}}}$$\end{document}), 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. [graphic not available: see fulltext] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Research in the Mathematical Sciences Springer Journals

# Bhargava’s cube and black hole charges

, Volume 8 (1) – Jan 3, 2021
35 pages

/lp/springer-journals/bhargava-s-cube-and-black-hole-charges-1rMRfcDlUo
Publisher
Springer Journals
Copyright © The Author(s), under exclusive licence to Springer Nature Switzerland AG part of Springer Nature 2021
eISSN
2197-9847
DOI
10.1007/s40687-020-00237-0
Publisher site
See Article on Publisher Site

### 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\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$${{\mathbb {Z}}}$$\end{document}), 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. [graphic not available: see fulltext]

### Journal

Research in the Mathematical SciencesSpringer Journals

Published: Jan 3, 2021

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