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arXiv · hep-th/0007067

Nahm's equations, $N=1^*$ domain walls, and D-strings in $AdS_5 x S_5$

C. Bachas·J. Hoppe·B. Pioline
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Abstract

We consider the following two problems: classical domain walls in the $N=1^*$ mass deformation of the maximally supersymmetric Yang Mills theory, and D-strings as external magnetic sources in the context of the AdS/CFT correspondence. We show that they are both described by Nahm's equations with unconventional boundary conditions, and analyze the relevant moduli space of solutions. We argue that general `fuzzy sphere' configurations of D-strings in AdS$_5$ correspond to Wilson-'t Hooft lines in higher representations of the dual SU(n) gauge theory.

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C. Bachas, J. Hoppe, B. Pioline. 2001-05-30. Nahm's equations, $N=1^*$ domain walls, and D-strings in $AdS_5 x S_5$. https://doi.org/10.1088/1126-6708%2F2001%2F07%2F041

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