Nahm dualities on the torus - a synthesis
High Energy Physics - Theory
2015-06-26 v1 High Energy Physics - Lattice
Abstract
We give a unified description of self-dual SU(2) gauge fields on tori of size lt x ls^3 based on a mixture of analytical and numerical methods using the Nahm transformation, extended to the case of twisted boundary conditions. We show how torus calorons (lt/ls small) are Nahm dual to the torus instantons (lt/ls large). Holonomies are dual to the locations of constituents, this duality becoming exact in the limiting cases ls or lt --> infinity. Implications for the moduli spaces are discussed.
Cite
@article{arxiv.hep-th/9905138,
title = {Nahm dualities on the torus - a synthesis},
author = {M. Garcia Perez and A. Gonzalez-Arroyo and C. Pena and P. van Baal},
journal= {arXiv preprint arXiv:hep-th/9905138},
year = {2015}
}
Comments
Latex, 22 pages, 8 figures in 11 postscript files