Introduction to supersymmetry in particle and nuclear physics
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Cites background from "Introduction to supersymmetry in pa..."
...(21) Using trTA = 0, the Killing supermetric (13) extends as follows: hσσ ≡ 2str(σ32) = 0, hAσ = hσA ≡ 2str(σ3TA) = 0, (22) h0σ = hσ0 ≡ 2str(σ31l) = 4N. Writing the covariant derivative as ∇µ = ∂µ − ig̃Aµ, where Aµ is a member of the Lie superalgebra as in (21), the field strength is Fµν = i g̃…...
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...When treated as a gauge group, the SU(N |N) algebra has some unusual features which mean that a number of steps in constructing the action have to be rethought from the beginning....
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...In this case strictly speaking we should add the condition r̃ > −1 which is necessary to ensure that the high momentum behaviour of the C field is unaffected by the spontaneous symmetry breaking mass term in (52)....
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Cites background from "Introduction to supersymmetry in pa..."
...It is possible to instead modify the Lie bracket [34] but this appears only to complicate matters....
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