Title of article :
Integrability versus supersymmetry
Author/Authors :
Jonathan M. Evans، نويسنده , , Jens Ole Madsen، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 1996
Pages :
8
From page :
665
To page :
672
Abstract :
We investigate (1,0)-superconformal Toda theories based on simple Lie algebras and find that the classical integrability properties of the underlying bosonic theories do not survive. For several models based on algebras of low rank, we show explicity that none of the conserved W-algebra generators can be generalized to the supersymmetric case. Using these results we deduce that at least one W-algebra generator fails to generalize in any model based on a classical Lie algebra. This argument involves a method for relating the bosonic Toda theories and their conserved currents within each classical series. We also scrutinize claims that the (1,0)-superconformal models actually admit (1,1) supersymmetry and find that they do not. Our results are consistent with the belief that all integrable Toda models with fermions arise from Lie superalgebras.
Journal title :
PHYSICS LETTERS B
Serial Year :
1996
Journal title :
PHYSICS LETTERS B
Record number :
907549
Link To Document :
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