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Seiberg duality versus hidden local symmetry.

Abel, S. A. and Barnard, J. (2012) 'Seiberg duality versus hidden local symmetry.', Journal of high energy physics., 2012 (5). 044.


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 Kähler 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 ρ-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.

Item Type:Article
Keywords:Supersymmetry and duality, Supersymmetric gauge theory, Duality in gauge field theories.
Full text:(NA) Not Applicable
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Publisher statement:© SISSA 2012. Published for SISSA by Springer. The final publication is available at Springer via
Date accepted:No date available
Date deposited:No date available
Date of first online publication:May 2012
Date first made open access:No date available

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