Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-08-23
Nucl.Phys. B503 (1997) 220-238
Physics
High Energy Physics
High Energy Physics - Theory
27 pages, LaTex type, 3 Postscript Figures
Scientific paper
10.1016/S0550-3213(97)00438-0
We study the correspondence between IIb solitonic 1-branes and monopoles in the context of the 3-brane realization of $D=4$ $N=4$ super Yang-Mills theory. We show that a bound state of 1-branes stretching between two separated 3-branes exhibits a family of super-symmetric ground states that can be identified with the ADHMN construction of the moduli space of $SU(2)$ monopoles.. This identification is supported by the construction of the monopole gauge field as a space-time coupling in the quantum mechanical effective action of a 1-brane used as a probe. The analysis also reveals an intriguing aspect of the 1-brane theory:the transverse oscillations of the 1-branes in the ground states are described by non-commuting matrix valued fields which develop poles at the boundary. Finally, the construction is generalized to $SU(n)$ monopoles with arbitrary $n>2$.
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