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Seiberg duality versus hidden local symmetry

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arxiv 1202.2863 v3 pith:5VDUTNAB submitted 2012-02-13 hep-th hep-ph

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

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It is widely believed that the emergent magnetic gauge symmetry of SQCD is analogous to a hidden local symmetry (HLS). We explore this idea in detail, deriving the entire (spontaneously broken) magnetic theory by applying the HLS formalism to spontaneously broken SU(N) SQCD. We deduce the K\"ahler potential in the HLS description, and show that gauge and flavour symmetry are smoothly restored along certain scaling directions in moduli space. We propose that it is these symmetry restoring directions, associated with the R-symmetry of the theory, that allow full Seiberg duality. Reconsidering the origin of the magnetic gauge bosons as the rho-mesons of the electric theory, colour-flavour locking allows a simple determination of the parameter "a". Its value continuously interpolates between a=2 on the baryonic branch of moduli space - corresponding to "vector meson dominance" - and a=1 on the mesonic branch. Both limiting values are consistent with previous results in the literature. The HLS formalism is further applied to SO and Sp groups, where the usual Seiberg duals are recovered, as well as adjoint SQCD. Finally we discuss some possible future applications, including (naturally) the unitarisation of composite W scattering, blended Higgs/technicolour models, real world QCD and non-supersymmetric dualities.

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  1. On cusps in the $\eta'$ potential

    hep-th 2025-08 conditional novelty 7.0 of 10

    The eta-prime potential must have at least gcd(N,N_f) cusped branches when gcd(N,N_f)>1, and s-confinement is only possible when gcd(N,N_f)=1.

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