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Relating $\beta'_*$ and $\gamma'_{Q*}$ in the ${\cal N}=1$ SQCD Conformal Window

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arxiv 2310.16449 v1 pith:XOLQCFLA submitted 2023-10-25 hep-th hep-ph

classification hep-thhep-ph
keywords betaslopesconformaldeterminefixedgammamagneticnote
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In this note we show that $\beta'_*$, the $\beta$-function slopes in the electric and magnetic theories are equal at the corresponding infrared fixed points. This follows from the scaling of the correlators of the trace of the energy momentum tensors. The slopes $\beta'_*$ determine the scaling dimensions. Our paper can be considered as a commentary to Anselmi et al. [1] -- it proposes an improved derivation not based on a rather contrived construction by Kutasov et al. [2]. As a byproduct we note that $\gamma'_{Q^*}$ -- the slopes of the matter superfield anomalous dimension -- vanish at both edges of the conformal window where one of the dual theories is strongly coupled. Finally, we determine the two-coupling magnetic fixed point at weak coupling correcting the result of [3]}.

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Cited by 3 Pith papers

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    hep-ph 2025-12 conditional novelty 5.0 of 10

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