Charting the landscape of (anti-) de Sitter and Minkowski solutions of 10d supergravities

Jan 11, 2022
61 pages
Published in:
  • JHEP 06 (2022) 131
  • Published: Jun 23, 2022
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Abstract: (Springer)
We classify solutions of 10d type IIA/B supergravities with orientifolds, on a 4d maximally symmetric spacetime times a 6d group manifold. We then look for new solutions in previously unexplored solution classes, and find some: (anti-) de Sitter solutions with intersecting O4_{4}, O6_{6} and D6_{6}, or Minkowski solutions with 3 intersecting O5_{5}, among others. We provide the numerical code that we developed for this purpose. We also prove new no-go theorems against (anti-) de Sitter solutions. We finally conjecture the absence of de Sitter solution for 2 or less intersecting source sets, implying that a 4d effective theory with de Sitter is at most N \mathcal{N} = 1 supersymmetric.
Note:
  • v1: 33 pages + appendices. The numerical code MaxSymSolSearch developed is provided here as an ancillary file. Two further Mathematica notebooks listing the old and new solutions are also provided. v2: minor additions. v3: few additions, published version
  • Flux Compactifications
  • String and Brane Phenomenology
  • Supergravity Models
  • Superstring Vacua
  • supersymmetry: 1
  • space: de Sitter
  • supergravity
  • space-time: Minkowski
  • orientifold
  • T-duality