Conformal Symmetry on the Instanton Moduli Space

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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7 pages, LaTeX, version to appear in J. Phys. A: Math. Gen

Scientific paper

10.1088/0305-4470/38/8/016

The conformal symmetry on the instanton moduli space is discussed using the ADHM construction, where a viewpoint of "homogeneous coordinates" for both the spacetime and the moduli space turns out to be useful. It is shown that the conformal algebra closes only up to global gauge transformations, which generalizes the earlier discussion by Jackiw et al. An interesting 5-dimensional interpretation of the SU(2) single-instanton is also mentioned.

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