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arXiv · 2207.04060

Elliptical and Purely NS Superstrata

Bogdan Ganchev·Anthony Houppe·Nicholas P. Warner
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Abstract

We analyze the BPS equations in the ``superstratum sector'' of three-dimensional gauged supergravity. We obtain multi-parameter supersymmetric solutions that include elliptical deformations of the supertubes that underlie standard superstrata. We uplift the three-dimensional solutions to obtain the corresponding six-dimensional geometries. This yields new families of elliptically-deformed, ambi-bolar hyper-K\"ahler geometries in four dimensions with a non-tri-holomorphic $U(1)$ isometry. We also find a new family of scaling superstrata whose S-dual lives entirely within the NS-sector of supergravity, and will thus be more amenable to exact analysis using string probes. In all these new superstrata, including the scaling ones, if the momentum charge is non-zero we find that the ellipse stays away from the degeneration locus in which the ellipse becomes flat.

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Bogdan Ganchev, Anthony Houppe, Nicholas P. Warner. 2022-07-08. Elliptical and Purely NS Superstrata. https://doi.org/10.1007/jhep09(2022)067

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