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Physics NotePublished

On non-minimal N=4{\cal N}=4 supermultiplets \\in 1D1D and their associated σ\sigma-models

Marcelo Gonzales; Sadi Khodaee

Publication details

Authors
Marcelo Gonzales; Sadi Khodaee
Type
Physics Note
Status
Published
Publication date
25/10/2010
Description
We construct the non-minimal linear representations of the ${\cal N}=4$ Extended Supersymmetry in one-dimension. They act on $8$ bosonic and $8$ fermionic fields. Inequivalent representations are specified by the mass-dimension of the fields and the connectivity of the associated graphs. The oxidation to minimal ${\cal N}=5$ linear representations is given. Two types of ${\cal N}=4$ $\sigma$-models based on non-minimal representations are obtained: the resulting off-shell actions are either manifestly invariant or depend on a constrained prepotential. The connectivity properties of the graphs play a decisive role in discriminating inequivalent actions. These results find application in partial breaking of supersymmetric theories.
Year
2010
Number
CBPF-NF001/10
Linked to a thesis
No
Linked to a grant
No
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