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- W3105578504 abstract "We show that extremal correlators in all Lagrangian ${cal N}=2$ superconformal field theories with a simple gauge group are governed by the same universal Toda system of equations, which dictates the structure of extremal correlators to all orders in the perturbation series. A key point is the construction of a convenient orthogonal basis for the chiral ring, by arranging towers of operators in order of increasing dimension, which has the property that the associated two-point functions satisfy decoupled Toda chain equations. We explicitly verify this in all known SCFTs based on $mathrm{SU}(N)$ gauge groups as well as in superconformal QCD based on orthogonal and symplectic groups. As a by-product, we find a surprising non-renormalization property for the ${cal N}=2$ $mathrm{SU}(N)$ SCFT with one hypermultiplet in the rank-2 symmetric representation and one hypermultiplet in the rank-2 antisymmetric representation, where the two-loop terms of a large class of supersymmetric observables identically vanish." @default.
- W3105578504 created "2020-11-23" @default.
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- W3105578504 date "2019-02-01" @default.
- W3105578504 modified "2023-09-24" @default.
- W3105578504 title "Universality of Toda equation in $$ mathcal{N}=2 $$ superconformal field theories" @default.
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- W3105578504 doi "https://doi.org/10.1007/jhep02(2019)011" @default.
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