On Green-Schwarz anomaly cancellation in heterotic supergravity:
Early consideration of the idea of superstring sigma-models where both the worldsheet as well as the target spacetime are treated as supermanifolds is due (under the name “supersymmetry squared”, cf. the superembedding approach):
Hitoshi Nishino, Supergravity in 10 + 2 Dimensions as Consistent Background for Superstring, (arXiv:hep-th/9703214)
Hitoshi Nishino, N=2 Chiral Supergravity in (10 + 2)-Dimensions As Consistent Background for Super (2 + 2)-Brane, Phys. Lett. B437 (1998) 303-314 (arXiv:hep-th/9706148)
Hitoshi Nishino, Supergravity Theories in Coupled to Super p-Branes, Nucl.Phys. B542 (1999) 217-261 (arXiv:hep-th/9807199)
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