Metrics on the moduli spaces of instantons over Euclidean four space

1991
16 pages
Published in:
  • Commun.Math.Phys. 135 (1991) 467-482

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Abstract: (Springer)
We prove that the natural hyper-Kähler metrics on the moduli space of chargek instantons over Euclidean four-space and on the space of ADHM matrices coincide. We use this to deduce formulae relating expressions in the curvature of a connection to invariant polynomials in the ADHM matrices corresponding to this connection. These arise from consideration of the group of symmetries acting on the moduli spaces.
  • gauge field theory: SU(N)
  • field theory: Euclidean
  • field equations: instanton
  • moduli space
  • space-time: Kaehler
  • mathematical methods
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