Superalgebras in $N=1$ Gauge Theories

Details Superalgebras in $N=1$ Gauge Theories Superalgebras in $N=1$ Gauge Theories

1996-08-12

arxiv.org/abs/hep-th/9608077v1

Phys.Lett. B390 (1997) 179-184

Physics

High Energy Physics

High Energy Physics - Theory

Submitted to Phys. Letters B, 12 pages,tex, macros included

Scientific paper

10.1016/S0370-2693(96)01420-7

$N=1$ supersymmetric gauge theories with global flavor symmetries contain a gauge invariant W-superalgebra which acts on its moduli space of gauge invariants. With adjoint matter, this superalgebra reduces to a graded Lie algebra. When the gauge group is $SO(n_c)$, with vector matter, it is a W-algebra, and the primary invariants form one of its representation. The same superalgebra exists in the dual theory, but its construction in terms of the dual fields suggests that duality may be understood in terms of a charge conjugation within the algebra. We extend the analysis to the gauge group $E_6$.

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