Near the horizons of the self-dual Schwarzschild-Taub-NUT solution in Klein space, an infinite-dimensional symmetry algebra of supertranslations and superrotations is shown to exist, with integrable Noether charges.
Spin Structures on Kleinian Manifolds
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abstract
We derive the topological obstruction to spin-Klein cobordism. This result has implications for signature change in general relativity, and for the $N=2$ superstring.
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Exploring the Kleinian horizons
Near the horizons of the self-dual Schwarzschild-Taub-NUT solution in Klein space, an infinite-dimensional symmetry algebra of supertranslations and superrotations is shown to exist, with integrable Noether charges.