BPS Monopoles and Open Spin Chains
Anastasia Doikou, Theodora Ioannidou
TL;DR
This paper constructs SU(n+1) BPS monopoles with minimal symmetry breaking by solving the Weyl equation and reveals an open spin chain structure within it, exemplified by the SU(3) case.
Contribution
It introduces a novel connection between BPS monopoles and open spin chains, providing a new method to solve the Weyl equation using this structure.
Findings
Constructed explicit SU(n+1) BPS monopoles with minimal symmetry breaking.
Identified and utilized open spin chain structures within the Weyl equation.
Solved the Weyl equation leveraging the spin chain analogy.
Abstract
We construct SU(n+1) BPS spherically symmetric monopoles with minimal symmetry breaking by solving the full Weyl equation. In this context, we explore and discuss the existence of open spin chain-like part within the Weyl equation. For instance, in the SU(3) case the relevant spin chain is the 2-site spin 1/2 XXX chain with open boundary conditions. We exploit the existence of such a spin chain part in order to solve the full Weyl equation.
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