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Article
Report number	hep-th/9404190 ; CERN-TH-7231-94 ; CERN-TH-7231-94
Title	Supersymmetry algebras and Lorentz invariance for d = 10 super Yang-Mills
Author(s)	Evans, Jonathan M. (CERN)
Affiliation	(CERN)
Publication	1994
Imprint	Apr 1994
Number of pages	11
In:	Phys. Lett. B 334 (1994) 105-112
DOI	10.1016/0370-2693(94)90597-5
Subject category	General Theoretical Physics
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 d=10 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 d=10 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.

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