Strings Inside Walls in N=1 Super Yang-Mills

TL;DR

This paper proposes the existence of special strings confined inside walls in SU(n) N=1 Super Yang-Mills theory, supported by field theory and string theory evidence, and explores their implications in the low-energy effective action.

Contribution

It introduces the concept of strings inside walls in SU(n) N=1 Super Yang-Mills and provides theoretical and string-theoretic evidence for their existence.

Findings

Strings carry Z_{[k,n]} quantum number.

Evidence from MQCD and gauge-gravity correspondence.

Implications for low-energy effective action on k-walls.

Abstract

We conjecture the existence of strings bounded inside walls in SU$(n)$ $\N=1$ Super Yang-Mills theory. These strings carry $\Z_{[k,n]}$ 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.