Abstract
Motivated by the recent $D$-brane constructions of world-volume monopoles and instantons, we study the supersymmetric SU$(N)$ Yang-Mills theory on ${S}^{1}\ifmmode\times\else\texttimes\fi{}{R}^{3+1}$, spontaneously broken by a Wilson loop. In addition to the usual $N\ensuremath{-}1$ fundamental monopoles, the $N$th Bogomol'nyi-Prasad-Sommerfield monopole appears from the Kaluza-Klein sector. When all $N$ monopoles are present, net magnetic charge vanishes and the solution can be reinterpreted as a Wilson-loop instanton of unit Pontryagin number. The instanton-multimonopole moduli space is explicitly constructed, and seen to be identical to a Coulomb phase moduli space of a U${(1)}^{N}$ gauge theory in $2+1$ dimensions related to Kronheimer's gauge theory of SU$(N)$-type. This extends the results by Intriligator and Seiberg to the finite couplings that, in the infrared limit of Kronheimer's theory, the Coulomb phase parametrizes a centered SU$(N)$ instanton. We also elaborate on the case of restored SU$(N)$ symmetry.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
