AdS3_{3} vacua realising osp \mathfrak{osp} (n|2) superconformal symmetry

Apr 24, 2023
43 pages
Published in:
  • JHEP 08 (2023) 024
  • Published: Aug 7, 2023
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Abstract: (Springer)
We consider N \mathcal{N} = (n, 0) supersymmetric AdS3_{3} vacua of type II supergravity realising the superconformal algebra osp \mathfrak{osp} (n|2) for n > 4. For the cases n = 6 and n = 5, one can realise these algebras on backgrounds that decompose as foliations of AdS3_{3} × ℂℙ3^{3} ( squashed ℂℙ3^{3} for n = 5) over an interval. We classify such solutions with bi-spinor techniques and find the local form of each of them: they only exist in (massive) IIA and are defined locally in terms of an order 3 polynomial h similar to the AdS7_{7} vacua of (massive) IIA. Many distinct local solutions exist for different tunings of h that give rise to bounded (or semi infinite) intervals bounded by physical behaviour. We show that it is possible to glue these local solutions together by placing D8 branes in the interior of the interval without breaking supersymmetry, which expands the possibilities for global solutions immensely. We illustrate this point with some simple examples. Finally we also show that AdS3_{3} vacua for n = 7, 8 only exist in d = 11 supergravity and are all locally AdS4_{4}×S7^{7}.
Note:
  • 29 pages + appendices. v4: Minor improvements, references added
  • Extended Supersymmetry
  • Flux Compactifications
  • Superstring Vacua
  • AdS-CFT Correspondence
  • symmetry: conformal
  • vacuum state
  • supergravity: Type II
  • supersymmetry
  • D-brane
  • background