Topological constraints in the LARGE-volume scenario

May 5, 2022
33 pages
Published in:
  • JHEP 08 (2022) 226
  • Published: Aug 23, 2022
e-Print:

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Abstract: (Springer)
We elaborate on recent results regarding the self-consistency of de Sitter vacua in the LARGE-volume scenario of type IIB string theory. In particular, we analyze to what extent the control over warping, curvature and gs_{s} corrections depends on the topology and the orientifold/brane data of a compactification. We compute a general bound on the magnitude of these corrections which strongly constrains the D3 tadpole. The minimally required tadpole ranges from O \mathcal{O} (500) to O \mathcal{O} (106^{6}) or more and depends strongly on other data, in particular on the Euler number of the Calabi-Yau 3-fold, the triple-self-intersection and Euler numbers of the small divisor and the coefficient as_{s} appearing in the non-perturbative superpotential. We give arguments suggesting that satisfying these constraints is very challenging and perhaps impossible.
Note:
  • 33 pages. v2: comments and references added. v3: comments and references added
  • Flux Compactifications
  • String and Brane Phenomenology
  • Superstring Vacua
  • constraint: topological
  • superpotential: nonperturbative
  • vacuum state: de Sitter
  • tadpole
  • string model
  • orientifold
  • Calabi-Yau