TL;DR
This paper presents a novel background field method for N=2 superspace, simplifying calculations and revealing new properties like the disappearance of R-coordinates from the effective action.
Contribution
It introduces a new background field approach for N=2 superspace, making non-renormalization theorems manifest and simplifying the effective action analysis.
Findings
Background gauge fields are in the real representation.
Non-renormalization theorems are manifest.
R-coordinates disappear from the effective action.
Abstract
We introduce a new background field method for N=2 superspace. (We treat projective hyperspace, but similar remarks apply for the harmonic case.) In analogy to N=1, background gauge fields are in the real representation, so the lowest-dimension potentials are spinor and the usual non-renormalization theorems are manifest. Another consequence is that the R-coordinates disappear from the effective action.
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