Seiberg Duality versus Hidden Local Symmetry

Abel, S; Barnard, J

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.

Citation

Abel, S., & Barnard, J. (2012). Seiberg Duality versus Hidden Local Symmetry. Journal of High Energy Physics, 2012(5), Article 44. https://doi.org/10.1007/jhep05%282012%29044

• Journal Article Type: Article
• Publication Date: May 11, 2012
• Deposit Date: Apr 4, 2013
• Publicly Available Date: Jul 25, 2013
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2012
• Issue: 5
• Article Number: 44
• DOI: https://doi.org/10.1007/jhep05%282012%29044
• Keywords: Supersymmetry and duality, Supersymmetric gauge theory, Duality in gauge field theories.
• Public URL: https://durham-repository.worktribe.com/output/1458313