Physics Letters B (Feb 2016)

The information metric on the moduli space of instantons with global symmetries

  • Emanuel Malek,
  • Jeff Murugan,
  • Jonathan P. Shock

DOI
https://doi.org/10.1016/j.physletb.2015.12.044
Journal volume & issue
Vol. 753, no. C
pp. 660 – 663

Abstract

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In this note we revisit Hitchin's prescription [1] of the Fisher metric as a natural measure on the moduli space of instantons that encodes the space–time symmetries of a classical field theory. Motivated by the idea of the moduli space of supersymmetric instantons as an emergent space in the sense of the gauge/gravity duality, we extend the prescription to encode also global symmetries of the underlying theory. We exemplify our construction with the instanton solution of the CPN sigma model on R2.