Meromorphic Functions and the Topology of Giant Gravitons
High Energy Physics - Theory
2015-02-19 v1
Abstract
Using Mikhailov's map from holomorphic functions to supersymmetric D3-brane solutions, we show how to construct giant gravitons in AdS5 x S5 with toroidal topologies. In the 1/4-BPS sector we show that these are always of the form #^K (S2 x S1), and in the limit in which this becomes a set of m+n perpendicular spherical giants re-connected near to their intersections, we find K in terms of m,n. In the 1/8-BPS sector we find a similar class of solutions.
Keywords
Cite
@article{arxiv.1312.4900,
title = {Meromorphic Functions and the Topology of Giant Gravitons},
author = {Michael C. Abbott and Jeff Murugan and Andrea Prinsloo and Nitin Rughoonauth},
journal= {arXiv preprint arXiv:1312.4900},
year = {2015}
}
Comments
10 pages, 8 figures