# Doubly Periodic Instanton Zero Modes

**Source**: https://www.maths.tcd.ie/report_series/abstracts/tcdm0504.html
**Parent**: https://www.maths.tcd.ie/research/papers/

**Doubly Periodic Instanton Zero Modes**

Abstract: Fermionic zero modes associated with doubly periodic SU(2)
instantons of unit charge are considered. In cases where the action
density exhibits two `instanton cores' the zero mode peaks on one of four
line-segments joining the two constituents. Which of the four possibilities
is realised depends on the fermionic boundary conditions; doubly periodic,
doubly anti periodic or mixed.