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Target-space anomalies and elliptic indices in heterotic orbifolds

Claudio A. Scrucca·Marco Serone
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Abstract

We present a complete string theory analysis of all mixed gauge, gravitational and target-space anomalies potentially arising in the simplest heterotic Z_N orbifold models, with N odd and standard embedding. These anomalies turn out to be encoded in an elliptic index, which can be easily computed; they are found to cancel through a universal GS mechanism induced by the dilaton multiplet. The target-space symmetry is then shown to have a nice geometric interpretation in terms of torsion, and the target-space dependence of the four-dimensional GS couplings can be alternatively rederived from the implicit torsion dependence of the standard ten-dimensional GS couplings. The result is universal and consists essentially of a Bianchi identity for the NSNS B field depending on all the curvatures, and in particular on the target-space curvature.

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Claudio A. Scrucca, Marco Serone. 2000-12-14. Target-space anomalies and elliptic indices in heterotic orbifolds. https://doi.org/10.1088/1126-6708%2F2001%2F02%2F019

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