Strings Inside Walls in N=1 Super Yang-Mills

Abstract

We conjecture the existence of strings bounded inside walls in SU$(n)$ $\mathbb{N}=1$ Super Yang-Mills theory. These strings carry ${\mathbb{Z}}_{[k,n]}$ quantum number, where $[k,n]$ is the greatest common divisor between $k$, the charge of the wall, and $n$. We provide field-theoretical arguments and string-theoretical evidences, both from MQCD and from gauge-gravity correspondence. We interpret this result from the point of view of the low-energy effective action living on the $k$-wall.

25 pp. Major changes. In particular, following the recent work arXiv:0807.1908 we have been able to give a field theoretical proof of the statement. We have also corrected an important erroneous interpretation in the previous version regarding the 2+1 effective action; Typos

References in corpus (4)

• All Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equation
• Domain Lines as Fractional Strings
• Interactions of Domain Walls of SUSY Yang-Mills as D-Branes
• Soliton Junctions in the Large Magnetic Flux Limit

Cited by in corpus (6)

• Josephson vortices and the Atiyah-Manton construction
• Matryoshka Skyrmions
• Jewels on a wall ring
• Topological Model for Domain Walls in (Super-)Yang-Mills Theories
• Relations among topological solitons
• Instantons confined by monopole strings