Localization Method for Volume of Domain-Wall Moduli Spaces

Understand

Volume of moduli space of non-Abelian BPS domain-walls is exactly obtained in U(N_c) gauge theory with N_f matters.

• The volume of the moduli space is formulated, without an explicit metric, by a path integral under constraints on BPS equations.
• The path integral over fields reduces to a finite dimensional contour integral by a localization mechanism.
• Our volume formula satisfies a Seiberg like duality between moduli spaces of the U(N_c) and U(N_f-N_c) non-Abelian BPS domain-walls in a strong coupling region.