Thick oriented and nonoriented center-vortex $SU(N)$ configurations with fractional topological charge lumps

Abstract

Mixed oriented and nonoriented center vortices are known to generate nontrivial topological charge. However, most previous analyses have been restricted to Abelian-projected thin configurations. Studies of thick vortices have so far focused on the $SU(2)$ case and on the intersection of a single pair of oriented objects. In this work, we construct mixed oriented and nonoriented thick center-vortex gauge fields in $SU(N)$ with smooth profiles and explicit non-Abelian phases. These phases ensure a smooth interpolation between different Cartan fluxes at monopole junctions. We analyze the resulting topological charge density and visualize its morphology, elucidating the color structures responsible for fractional lumps that together yield a nonvanishing global charge.

Figures (2)

• Figure 1: Mixed oriented and nonoriented center vortices shown at a fixed $t=0$ slice.
• Figure 2: Topological charge density $q(x)$ at $t=0$ for $SU(3)$ configurations with thickness $b=0.1$. The intersection of different fluxes $\beta,\beta'$ in (a) also appears in the lower lump of (b), near $z\approx -0.2$. The upper intersection around $z\approx 0.2$ involves equal fluxes, giving a higher peak in $q(x)$. A region of negative density forms around the monopole.