The signed square of an irreducible real pure spinor in neutral signature (p,p) is a decomposable (anti-)self-dual p-form, yielding an equivalent differential system for torsion-parallel spinors and explicit NS-NS supergravity solutions on four-dimensional Lie groups.
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2 Pith papers cite this work, alongside 15 external citations. Polarity classification is still indexing.
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math.DG 2years
2026 2representative citing papers
Develops complex spinorial forms to classify quasi-supersymmetric solutions of gauged supergravity as four-parameter families of complete gyratonic Brinkmann waves and derives foliation conditions for six-dimensional supergravity with self-dual bundle gerbes.
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Torsion parallel pure spinors on neutral manifolds
The signed square of an irreducible real pure spinor in neutral signature (p,p) is a decomposable (anti-)self-dual p-form, yielding an equivalent differential system for torsion-parallel spinors and explicit NS-NS supergravity solutions on four-dimensional Lie groups.
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Complex spinorial forms, Brinkmann four-manifolds, and self-dual bundle gerbes
Develops complex spinorial forms to classify quasi-supersymmetric solutions of gauged supergravity as four-parameter families of complete gyratonic Brinkmann waves and derives foliation conditions for six-dimensional supergravity with self-dual bundle gerbes.