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arXiv · 1903.09551

Determination of AdS Monopole Wall via Minimization

Lei Cao·Yisong Yang
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Abstract

In this note we solve a minimization problem arising in a recent work of Bolognesi and Tong on the determination of an AdS monopole wall. We show that the problem has a unique solution. Although the solution cannot be obtained explicitly, we show that it may practically be constructed via a shooting method for which the correct shooting slope is unique. We also obtain some energy estimates which allow an asymptotic explicit determination of the monopole wall in a large coupling parameter limit.

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Lei Cao, Yisong Yang. 2019-03-22. Determination of AdS Monopole Wall via Minimization. https://doi.org/10.1063/1.5099159

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