${\cal N}=(1,1)$ supersymmetric AdS$_3$ in 10 dimensions

Niall T. Macpherson; Alessandro Tomasiello

doi:10.1007/JHEP03(2022)112

${\cal N}=(1,1)$ supersymmetric AdS$_3$ in 10 dimensions

High Energy Physics - Theory 2022-04-13 v2

Authors: Niall T. Macpherson , Alessandro Tomasiello

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Abstract

Warped AdS $_3$ solutions in 10 dimensional supergravity that preserve ${\cal N}=(1,1)$ supersymmetry are considered. Sufficient geometric conditions for their existence, and to stop the AdS $_3$ factor experiencing an enhancement to AdS $_4$ , are presented. The internal space of such solutions decomposes as a foliation of M $_6$ over an interval where M $_6$ supports either an SU(3)- or SU(2)-structure. The former case is classified in terms of torsion classes and new solutions are found

Keywords

ads3 supergravity supersymmetry warped solutions internal manifold su(3)-structure

Cite

@article{arxiv.2110.01627,
  title  = {${\cal N}=(1,1)$ supersymmetric AdS$_3$ in 10 dimensions},
  author = {Niall T. Macpherson and Alessandro Tomasiello},
  journal= {arXiv preprint arXiv:2110.01627},
  year   = {2022}
}

Comments

49 pages, 4 figures. v2: references, typos, new appendix on general N=(1,0) conditions, correction to sufficient N=(1,1) conditions when spinor norms are non equal

${\cal N}=(1,1)$ supersymmetric AdS$_3$ in 10 dimensions

Abstract

Keywords

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