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Meromorphic functions and the topology of giant gravitons
Journal article   Open access  Peer reviewed

Meromorphic functions and the topology of giant gravitons

M Abbott, J Murugan, AH Prinsloo and N Rughoonauth
Physics Letters, Section B, Vol.730, pp.215-220
07/03/2014

Abstract

Using Mikhailovʼs map from holomorphic functions to supersymmetric D3-brane solutions, we show how to construct giant gravitons in AdS5×S5 with toroidal topologies. In the 1/4-BPS sector we show that these are always of the form ♯K(S2×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.
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http://dx.doi.org/10.1016/j.physletb.2014.01.052View
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