CONSISTENCY CONDITION FOR κ-ANOMALIES AND SUPERSPACE CONSTRAINTS IN QUANTUM HETEROTIC SUPERSTRINGS

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Abstract
In this paper, the quantum heterotic Green and Schwarz superstring in Yang-Mills and curved superspace background is investigated. A consistency condition for the anomalies, allowing to study their general structure, has been obtained. We have found that the anomalies of the κ-symmetry can be absorbed by consistent quantum corrections of torsion and curvatures leading to superspace constraints in agreement with those considered in recent studies on SUGRA-SYM models. Moreover we suggest that the world sheet conformal and Lorentz anomalies vanish if the κ-anomalies are cancelled.
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