Webs of domain walls in supersymmetric gauge theories

Webs of domain walls are constructed as $1/4$ Bogomol'nyi-Prasad-Sommerfield (BPS) states in $d=4$, N=2 supersymmetric U(NC) gauge theories with NF hypermultiplets in the fundamental representation. Webs of walls can contain any numbers of external legs and loops like $(p,q)$ string/5-brane webs. We find the moduli space M of a $1/4$ BPS equation for wall webs to be the complex Grassmann manifold. When moduli spaces of $1/2$ BPS states (parallel walls) and the vacua are removed from M, the noncompact moduli space of genuine $1/4$ BPS wall webs is obtained. All the solutions are obtained explicitly and exactly in the strong gauge coupling limit. In the case of Abelian gauge theory, we work out the correspondence between configurations of wall web and the moduli space CP^NF-1.