Nahm's equations, N=1* domain walls, and D-strings in AdS(5) x S-5

Citation
C. Bachas et al., Nahm's equations, N=1* domain walls, and D-strings in AdS(5) x S-5, J HIGH EN P, 2001(7), 2001, pp. NIL_862-NIL_889
Citations number
60
Categorie Soggetti
Physics
Journal title
JOURNAL OF HIGH ENERGY PHYSICS
ISSN journal
10298479 → ACNP
Volume
2001
Issue
7
Year of publication
2001
Pages
NIL_862 - NIL_889
Database
ISI
SICI code
1029-8479(200107)2001:7<NIL_862:NENDWA>2.0.ZU;2-T
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 corresp ondence. We show that they are both described by Nahm's equations with unco nventional boundary conditions, and analyze the relevant moduli space of so lutions. We argue that general 'fuzzy sphere' configurations of D-strings i n AdS(5) correspond to Wilson-'t Hooft lines in higher representations of t he dual SU(n) gauge theory.