TL;DR
This paper explores static periodic monopoles in three dimensions, implementing the Nahm construction numerically for chains and explicitly for sheets, revealing new solutions and deformations in gauge theories.
Contribution
It provides the first numerical implementation of the Nahm construction for monopole chains and explicit computations for monopole sheets, advancing understanding of periodic monopole solutions.
Findings
Numerical solutions for monopole chains using Nahm construction.
Explicit Nahm transform for U(1) monopole sheets.
Deformation of U(1) solutions to SU(2) monopole sheets.
Abstract
This paper deals with static BPS monopoles in three dimensions which are periodic either in one direction (monopole chains) or two directions (monopole sheets). The Nahm construction of the simplest monopole chain is implemented numerically, and the resulting family of solutions described. For monopole sheets, the Nahm transform in the U(1) case is computed explicitly, and this leads to a description of the SU(2) monopole sheet which arises as a deformation of the embedded U(1) solution.
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