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- W4293498779 abstract "Abstract In this paper we study the rotationally invariant harmonic cohomology of a two-parameter family of Einstein metrics g which admits a cohomogeneity one action of SU (2) × U (1) and has AdS asymptotics. Depending on the values of the parameters, g is either of NUT type, if the fixed-point locus of the U (1) action is zero-dimensional, or of bolt type, if it is two-dimensional. We find that if g is of NUT type then the space of SU (2)-invariant harmonic two-forms is three-dimensional and consists entirely of self-dual forms; if g is of bolt type it is four-dimensional. In both cases we explicitly determine a basis. The pair ( g , F ) for F a self-dual harmonic two-form is also a solution of the bosonic sector of 4 D supergravity. We determine for which choices it is a supersymmetric solution and the amount of preserved supersymmetry." @default.
- W4293498779 created "2022-08-29" @default.
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- W4293498779 date "2022-08-31" @default.
- W4293498779 modified "2023-09-30" @default.
- W4293498779 title "Harmonic forms on asymptotically ADS metrics" @default.
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- W4293498779 doi "https://doi.org/10.1088/1751-8121/ac8a29" @default.
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