Research shows Weyl invariance in a heterotic sigma model, indicating a link to anomaly behavior in curved space.
Weyl invariance at one loop is proven for the heterotic non-linear sigma model coupled to curved superspace with non-trivial fermionic and bosonic background fields. A general formula is given relating the Weyl anomaly to the sigma model \β-functions at arbitrary sigma-model loop order. The Weyl anomaly is also considered in the presence of Yang-Mills backgrounds.
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S. et al. (1991) studied this question.
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