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


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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 S3 = SU(2)

About the authors

S. N. Vergeles

Landau Institute for Theoretical Physics; Department of Theoretical Physics

Author for correspondence.
Email: vergeles@itp.ac.ru
Russian Federation, Chernogolovka, Moscow region, 142432; Dolgoprudnyj, Moscow region, 141707

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