A limit for large R-charge correlators in N=2 theories

2018/03/31 by Antoine Bourget, Diego Rodriguez-Gomez, Jorge G. Russo · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1007/jhep05(2018)074

arxiv created 2018/05/18 · arxiv updated 2018/06/13

Abstract

Using supersymmetric localization, we study the sector of chiral primary operators (\rm Tr ϕ² )ⁿ with large R-charge 4n in N=2 four-dimensional superconformal theories in the weak coupling regime g→ 0, where λ≡ g²n is kept fixed as n→∞ , g representing the gauge theory coupling(s). In this limit, correlation functions G_2n of these operators behave in a simple way, with an asymptotic behavior of the form G_2n≈ F_∞(λ) (\fracλ2πe)²ⁿ n^α, modulo O(1/n) corrections, with α=(1)/(2) dim(\mathfrakg) for a gauge algebra \mathfrakg and a universal function F_∞(λ). As a by-product we find several new formulas both for the partition function as well as for perturbative correlators in \cal N=2 \mathfraksu(N) gauge theory with 2N fundamental hypermultiplets.

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