α' corrections leave the metric of self-dual instantons unmodified but correct the dilaton and axion fields via Gauss-Bonnet and Pontrjagin terms, with no net correction to the Euclidean action to first order.
Order alpha-prime (Two Loop) Equivalence of the String Equations of Motion and the Sigma Model Weyl Invariance Conditions: Dependence on the Dilaton and the Antisymmetric Tensor,
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$\alpha'$ corrections to self-dual gravitational instantons
α' corrections leave the metric of self-dual instantons unmodified but correct the dilaton and axion fields via Gauss-Bonnet and Pontrjagin terms, with no net correction to the Euclidean action to first order.