paper

Supersymmetry algebras and Lorentz invariance for d=10 Super Yang-Mills

arXiv:hep-th/9404190 · doi:10.1016/0370-2693(94)90597-5

Abstract

We consider ways in which conventional supersymmetry can be embedded in the set of more general fermionic transformations proposed recently [\Ref{B}] as a framework in which to study super Yang-Mills. Solutions are exhibited which involve closed algebras of various numbers of supersymmetries together with their invariance groups: nine supersymmetries with $\GT {\times}\SO (1,1)$ invariance; eight supersymmetries with $\SO (7){\times}\SO (1,1)$ invariance; four supersymmetries with $\SO (3,1){\times}\U (3)$ invariance. We recover in this manner all previously known ways of adding finite numbers of bosonic auxiliary fields so as to partially close the superalgebra. A crucial feature of these solutions is that the auxiliary fields transform non-trivially under the residual Lorentz symmetry, even though they are originally introduced as Lorentz scalars.

11 pages, plain tex (macros included), CERN-TH.7231/94

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