7–11 Sept 2026
Opava, Czech Republic
Europe/Prague timezone

Topology-Spectral Flow Correspondence for Different Fermion-Soliton Couplings

10 Sept 2026, 14:00
30m
Lecture hall of Institute of Mathematics (Opava, Czech Republic)

Lecture hall of Institute of Mathematics

Opava, Czech Republic

Na Rybníčku 626/1, 746 01 Opava 1

Speaker

Shintaro Yamamoto (Tokyo University of Science)

Description

Topologically nontrivial solitons often exhibit characteristic fermionic spectra when coupled to Dirac fermions. In many fermion–soliton systems, spectral flow reflects the underlying topology of the soliton. However, it remains unclear which fermion–soliton couplings support this correspondence. In this talk, we approach this problem by analytically investigating several representative fermion–soliton coupling schemes. Our results provide a first step toward a systematic understanding of the role of fermion–soliton couplings.

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