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Gluino zero-modes for non-trivial holonomy calorons

2006/09/08 by Margarita Garcı́a Pérez, Margarita Garcia Perez, Antonio González-Arroyo +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-th #math-ph #math.MP

paper · pdf · doi:10.1088/1126-6708/2006/11/091

published as JHEP0611:091,2006 · 17 pages, 3 Postscript figures, latex

arxiv created 2006/09/08 · openalex publication_date 2006/11/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We couple fermion fields in the adjoint representation (gluinos) to the SU(2) gauge field of unit charge calorons defined on R3 x S1. 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.

Citations