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I will present our recent work where we introduce a "dual-reflection" interface between two spin chains, by combining spatial reflection and Kramers-Wannier duality. This gives a Z_4 symmetry that squares to the Ising Z_2 symmetry, for the open chain. I will discuss how to map the system to Majorana fermions, where the Z_4 symmetry is simply reflection with respect to a Majorana site, and the construction of Majorana strong zero modes.
The seminar is intended to be accessible also to high-energy theorists.
see: https://arxiv.org/abs/2412.06377
Domenico Seminara