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Kähler potential and ambiguities in 4d N $$ \mathcal{N} $$ = 2 SCFTs

Kähler potential and ambiguities in 4d N $$ \mathcal{N} $$ = 2 SCFTs

The partition function of four-dimensional $$ \mathcal{N} $$ = 2 superconformal field theories on S4 computes the exact Kähler potential on the space of exactly marginal couplings [1]. We present a new elementary proof of this result using supersymmetry Ward identities. The partition function is a section rather than a …