Gluino zero-modes for non-trivial holonomy calorons

Abstract

We couple fermion fields in the adjoint representation (gluinos) to the SU(2) gauge field of unit charge calorons defined on R^3 x S_1. We compute corresponding zero-modes of the Dirac equation. These are relevant in semiclassical studies of N=1 Super-symmetric Yang-Mills theory. Our formulas, show that, up to a term proportional to the vector potential, the modes can be constructed by different linear combinations of two contributions adding up to the total caloron field strength.

17 pages, 3 Postscript figures, latex

References in corpus (2)

• Calorons and monopoles from smeared SU(2) lattice fields at non-zero temperature
• Dependence of Dirac eigenmodes on boundary conditions for SU(2) lattice gauge theory

Cited by in corpus (3)

• Two-loop renormalization of vector, axial-vector and tensor fermion bilinears on the lattice
• Adjoint fermion zero-modes for SU(N) calorons
• Gluino zero-modes for calorons at finite temperature