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World-manifold and target space anomalies in heterotic Green-Schwarz strings and five-branes

Kurt Lechner·Mario Tonin
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Abstract

The quantum consistency of sigma-models describing the dynamics of extended objects in a curved background requires the cancellation of their world-volume anomalies, which are conformal anomalies for the heterotic string and $SO(1,5)$ Lorentz-anomalies for the heterotic five-brane, and of their ten dimensional target space anomalies. In determining these anomalies in a $D=10$ Lorentz-covariant back-ground gauge we find that for the heterotic string the worldvolume anomalies cancel for 32 heterotic fermions while for the conjectured heterotic five-brane they cancel for only 16 heterotic fermions, this result being in contrast with the string/five-brane duality conjecture. For what concerns the target space anomalies we find that the five-brane eight-form Lorentz-anomaly polynomial differs by a factor of $1/2$ from what is expected on the basis of duality. Possible implications of these results are discussed.

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Kurt Lechner, Mario Tonin. 1996-10-16. World-manifold and target space anomalies in heterotic Green-Schwarz strings and five-branes. https://doi.org/10.1142/9781848160927_0022

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