Exact T-duality between Calorons and Taub-NUT spaces
High Energy Physics - Theory
2010-11-19 v1 High Energy Physics - Lattice
High Energy Physics - Phenomenology
Abstract
We determine all SU(2) caloron solutions with topological charge one and arbitrary Polyakov loop at spatial infinity (with trace 2.cos(2.pi.omega)), using the Nahm duality transformation and ADHM. By explicit computations we show that the moduli space is given by a product of the base manifold R^3 X S^1 and a Taub-NUT space with mass M=1/sqrt{8.omega(1-2.omega)}, for omega in [0, 1/2], in units where S^1=R/Z. Implications for finite temperature field theory and string duality between Kaluza-Klein and H-monopoles are briefly discussed
Keywords
Cite
@article{arxiv.hep-th/9802049,
title = {Exact T-duality between Calorons and Taub-NUT spaces},
author = {Thomas C. Kraan and Pierre van Baal},
journal= {arXiv preprint arXiv:hep-th/9802049},
year = {2010}
}
Comments
12 pages, including 1 figure (in three parts), latex