Instanton-like self-dual solution to lattice Euclidean Gravity: Difference from Eguchi–Hanson solution to continuous gravity

Abstract

The self-dual solution to lattice Euclidean gravity is constructed. In contrast to the well-known Eguchi–Hanson solution to continuous Euclidean Gravity, the lattice solution is asymptotically globally Euclidean, i.e., the boundary of the space as r → ∞ is S 3 = SU(2)