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Supersymmetric form of higher curvature corrections in 11d supergravity

Develop the supersymmetric formulation of higher curvature corrections to eleven-dimensional supergravity in superspace, identifying how these corrections are realized—potentially via relaxing the torsion constraint—and making the resulting theory consistent with flux quantization.

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Background

Cohomotopy-based flux quantization implies higher curvature corrections (e.g., terms proportional to the 1-loop eight-form I8) to the C-field Bianchi identity, which should appear as higher curvature corrections to 11d supergravity.

Although expected to involve relaxing the torsion constraint in superspace, the precise supersymmetric form of these corrections is not currently established.

References

However, the supersymmetric form of these higher curvature corrections to 11d SuGra remains incompletely understood to date.

Flux Quantization on 11-dimensional Superspace (2403.16456 - Giotopoulos et al., 25 Mar 2024) in Section 1.5 (Shifted flux quantization as higher curvature correction)