Seiberg duality versus hidden local symmetry

Friday June 22, 14:30hs -  Seminar room

Speaker: Steven Abel (Durham, UK)

Abstract:

It is widely believed that the emergent magnetic gauge symmetry of SQCD is analogous to a hidden local symmetry (HLS). I explore this idea in detail, and show how one can derive the (spontaneously broken) magnetic theory by applying the HLS formalism to spontaneously broken SU(N) SQCD.

I discuss the Kaehler potential in the HLS description, and show that gauge and flavour symmetry are smoothly restored along certain scaling directions in moduli space. 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 Seiberg duals for usual SO and Sp group as well as adjoint SQCD will also be discussed. Finally I discuss some possible future applications.

 

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