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.