Abstract

Quantum corrections for affine Toda theories based on the nonsimply laced Lie algebras a 2 n−1 (2) and c n (1) distort the classical mass spectrum. We show that at the one-loop level fermionic generalizations based on the Lie superalgebras A (2)(0,2n−1) and C (2) ( n+1) lead to corrections that preserve the classical spectrum. Thus, these generalizations may retain the integrability properties and exact S-matrices which in the purely bosonic theories seem to be destroyed by quantum effects.

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