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.
Discrete anomalies in supergravity and consistency of string backgrounds
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abstract
We examine SL(2, Z) anomalies in ten and eight-dimensional supergravities, the induced local counterterms and their realization in string theory. Composite connections play an important role in the cancellation mechanism. At the same time their global properties lead to novel non-trivial consistency constraints on compactifications.
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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.