English

Supersymmetric traversable wormholes

High Energy Physics - Theory 2020-10-28 v2 General Relativity and Quantum Cosmology

Abstract

We study traversable wormhole solutions in pure gauged N ⁣= ⁣2N\!=\!2 supergravity with and without electromagnetic fields, which are locally isometric under SO(2,1) ⁣× ⁣SO(1,1)\mathrm{SO}(2,1)\!\times\!\mathrm{SO}(1,1). The model allows for 1/2-BPS wormhole solutions whose corresponding globally defined Killing spinors are presented. A non-contractible cycle can be obtained by compactifying one of the coordinates which leaves the residual supersymmetry unaffected, the isometry group is now globally SO(2,1) ⁣× ⁣SO(2)\mathrm{SO}(2,1)\!\times\!\mathrm{SO}(2). The wormholes connect two asymptotic, locally AdS4\mathrm{AdS}_4 regions and depend on certain electric and magnetic charge parameters and, implicitly, on the range of the compact coordinate around the throat. We provide an analysis of the boundary of the spacetime and show that it can be either disconnected or not, depending on the values of the parameters in the metric. Finally, we show how that these space-times avoid a topological censorship theorem.

Keywords

Cite

@article{arxiv.2001.00606,
  title  = {Supersymmetric traversable wormholes},
  author = {Andres Anabalon and Bernard de Wit and Julio Oliva},
  journal= {arXiv preprint arXiv:2001.00606},
  year   = {2020}
}

Comments

16 pages, 2 figures. Published version with a detailed analysis of the boundary and a general proof on the circumvention of a topological censorship theorem

R2 v1 2026-06-23T13:01:45.812Z