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Medientyp:
E-Artikel
Titel:
Schur correlation functions on S3 × S1
Beteiligte:
Pan, Yiwen;
Peelaers, Wolfger
Erschienen:
Springer Science and Business Media LLC, 2019
Erschienen in:
Journal of High Energy Physics, 2019 (2019) 7
Sprache:
Englisch
DOI:
10.1007/jhep07(2019)013
ISSN:
1029-8479
Entstehung:
Anmerkungen:
Beschreibung:
Abstract The Schur limit of the superconformal index of four-dimensional $$ \mathcal{N} $$ N = 2 superconformal field theories has been shown to equal the supercharacter of the vacuum module of their associated chiral algebra. Applying localization techniques to the theory suitably put on S 3 × S 1, we obtain a direct derivation of this fact. We also show that the localization computation can be extended to calculate correlation functions of a subset of local operators, namely of the so-called Schur operators. Such correlators correspond to insertions of chiral algebra fields in the trace-formula computing the supercharacter. As a by-product of our analysis, we show that the standard lore in the localization literature stating that only off-shell supersymmetrically closed observables are amenable to localization, is incomplete, and we demonstrate how insertions of fermionic operators can be incorporated in the computation.