Theoretical analysis demonstrates consistent truncations on half-supersymmetric branes in generalized geometry, revealing new lower-dimensional supergravities.
A bstract In this note we show how the consistent truncations on half-supersymmetric branes of Leung and Stelle and Lin, Skrzypek and Stelle fit into the general exceptional generalised geometry analysis of Cassani et al. Each solution defines a torsion-free Spin( n ) structure in the Spin( n, n ) × ℝ + generalised geometry introduced by Strickland–Constable, where n is the dimension of the space transverse to the brane. Embedding this into the appropriate exceptional generalised geometry then defines the truncation. As a by-product we derive a new consistent truncation on the IIA NS5-brane to six-dimensional 𝒩 = (2 , 0) supergravity coupled to a tensor multiplet, and new consistent truncations on the D6- and D7-branes to seven- and eight-dimensional pure half-maximal supergravity respectively.
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Lin et al. (2026) studied this question.
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