Non-Supersymmetric Vacua and Self-Adjoint Extensions - Archive ouverte HAL
Article Dans Une Revue Journal of High Energy Physics Année : 2023

Non-Supersymmetric Vacua and Self-Adjoint Extensions

A Sagnotti
  • Fonction : Auteur

Résumé

Internal intervals spanned by finite ranges of a conformal coordinate $z$ and terminating at a pair of singularities are a common feature of many string compactifications with broken supersymmetry. The squared masses emerging in lower-dimensional Minkowski spaces are then eigenvalues of Schrödinger-like operators, whose potentials have double poles at the ends of the intervals. For one-component systems, the possible self-adjoint extensions of Schrödinger operators are described by points in $AdS_3 \times S^1$, and those corresponding to independent boundary conditions at the ends of the intervals by points on the boundary of $AdS_3$. The perturbative stability of compactifications to Minkowski space time depends, in general, on these choices of self-adjoint extensions. We apply this setup to the orientifold vacua driven by the ``tadpole potential''$V=T \ e^{\,\frac{3}{2}\,\phi}$ and find, in nine dimensions, a massive scalar spectrum, a unique choice of boundary conditions with stable tensor modes and a massless graviton, and a wide choice leading to massless and/or massive vector modes.

Dates et versions

hal-04111688 , version 1 (31-05-2023)

Identifiants

Citer

J Mourad, A Sagnotti. Non-Supersymmetric Vacua and Self-Adjoint Extensions. Journal of High Energy Physics, 2023, 08, pp.041. ⟨10.1007/JHEP08(2023)041⟩. ⟨hal-04111688⟩
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