Darboux Coordinates and Instanton Corrections in Projective Superspace

Details Darboux Coordinates and Instanton Corrections in Projective Superspace Darboux Coordinates and Instanton Corrections in Projective Superspace

2012-04-17

arxiv.org/abs/1204.3899v2

Physics

High Energy Physics

High Energy Physics - Theory

22 pages; references added and typos corrected in v2

Scientific paper

By demanding consistency of the Legendre transform construction of hyperk\"ahler metrics in projective superspace, we derive an expression for the Darboux coordinates on the hyperk\"ahler manifold. We apply these results to study the Coulomb branch moduli space of 4D, N=2 super-Yang-Mills theory (SYM) on R^3 x S^1, recovering the results by GMN. We also apply this method to study the electric corrections to the moduli space of 5D, N=1 SYM on R^3 x T^2 and give the Darboux coordinates explicitly.

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