Steven Abel, James Barnard
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.
View original:
http://arxiv.org/abs/1202.2863
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