Black Holes and Higher Composition Laws
High Energy Physics - Theory
2020-08-19 v2 General Relativity and Quantum Cosmology
Number Theory
Abstract
We describe various relations between Bhargava's higher composition laws, which generalise Gauss's original composition law on integral binary quadratic forms, and extremal black hole solutions appearing in string/M-theory and related models. The cornerstone of these correspondences is the identification of the charge cube of the STU black hole with Bhargava's cube of integers, which underpins the related higher composition laws.
Keywords
Cite
@article{arxiv.2006.03574,
title = {Black Holes and Higher Composition Laws},
author = {L. Borsten and M. J. Duff and A. Marrani},
journal= {arXiv preprint arXiv:2006.03574},
year = {2020}
}
Comments
25 pages. References and further note added. Minor typos corrected