Abel, S. A. and Barnard, J. (2012) 'Seiberg duality versus hidden local symmetry.', Journal of high energy physics., 2012 (5). 044.
Abstract
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 |
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Keywords: | Supersymmetry and duality, Supersymmetric gauge theory, Duality in gauge field theories. |
Full text: | (NA) Not Applicable Download PDF (arXiv version) (555Kb) |
Status: | Peer-reviewed |
Publisher Web site: | http://dx.doi.org/10.1007/JHEP05(2012)044 |
Publisher statement: | © SISSA 2012. Published for SISSA by Springer. The final publication is available at Springer via http://dx.doi.org/10.1007/JHEP05(2012)044. |
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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