4 problems
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Conjecture on removing the boundedness condition for chiral higher-spin self-dual gravity
Let be the twistor space and consider deformations of its complex structure satisfying the first three conditions of the stated nonlinear graviton theorem: preservatio…
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Geiller's conjecture on conservation laws from Weyl Bianchi identities
The asymptotic setting involves self-dual gravity, its Weyl Bianchi identities, conservation laws, and a suitable choice of asymptotic frame. Geiller's conjecture. The conservation…
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Easson et al.'s equivalence conjecture for the Kleinian self-dual Kerr solution
Analytic continuation of the self-dual analog of the Kerr metric gives a real solution in Kleinian signature. After a simple diffeomorphism gauges away its angular momentum, the re…
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Surface-operator conjecture for integrable self-dual gravity
In the setting of an anomaly-cancelled integrable theory of self-dual gravity, whose local operators are absent and whose S-matrix is trivial, the natural observables are expected…