Exact T-duality between Calorons and Taub-NUT spaces

Details Exact T-duality between Calorons and Taub-NUT spaces Exact T-duality between Calorons and Taub-NUT spaces

1998-02-09

arxiv.org/abs/hep-th/9802049v1

Phys.Lett.B428:268-276,1998

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, including 1 figure (in three parts), latex

Scientific paper

10.1016/S0370-2693(98)00411-0

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

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