Exact T-duality between Calorons and Taub-NUT spaces

: We determine all SU(2) caloron solutions with topological charge one and arbitrary Polyakov loop at spatial infinity (with trace 2 cos(2!)), 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 \\Theta S 1 and a Taub-NUT space with mass M = 1= q 8!(1 \\Gamma 2!), for ! 2 [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. 1 Introduction Properties of self-dual solutions to the Yang-Mills equations of motion have played an important role in understanding both the physical and mathematical properties of gauge theories. The last couple of years these solutions also feature prominently in the description of dualities in supersymmetric theories and in string theories, in particular for extensions to D-branes and M-theory. We will present the calorons [1], which are instant...

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