Under a duality symmetry assumption, minimal supergravity coupled to two vector multiplets in D=8 is uniquely fixed in the BPS sector by anomaly cancellation, uplifts, and gauge enhancement.
Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups,
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Uniqueness of D=8 minimal supergravity with two vector multiplets
Under a duality symmetry assumption, minimal supergravity coupled to two vector multiplets in D=8 is uniquely fixed in the BPS sector by anomaly cancellation, uplifts, and gauge enhancement.