Determination of anti-de Sitter monopole wall via minimization
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.
- Publication:
-
Journal of Mathematical Physics
- Pub Date:
- July 2019
- DOI:
- 10.1063/1.5099159
- arXiv:
- arXiv:1903.09551
- Bibcode:
- 2019JMP....60g3509C
- Keywords:
-
- High Energy Physics - Theory;
- Mathematical Physics;
- 34B40;
- 35J50;
- 81T13
- E-Print:
- 13 pages