Abstract
We construct a supersymmetric vacuum of string theory in which the magnitude of the vacuum energy is <10^{-123} in Planck units. The mechanism that we introduce generates a well-controlled exponential hierarchy from an appropriate choice of the quantized parameters in the superpotential. Our approach provides a new angle on the cosmological constant problem.
Highlights
Introduction.—Explaining the smallness of the observed dark energy density [1,2], ρobs ≈ 10−123M4pl; ð1Þ is a profound challenge [3,4,5]
A more practical complaint is that exploring a landscape of vacua of string theory and finding solutions therein, in which the actual value ρvac of the vacuum energy obeys ρvac ≈ ρobs, appears out of reach
The difficulty of exhibiting de Sitter vacua of string theory with ρvac ≈ ρobs presents an obstruction to bringing the landscape argument for the cosmological constant problem into sharp focus in quantum gravity
Summary
Introduction.—Explaining the smallness of the observed dark energy density [1,2], ρobs ≈ 10−123M4pl; ð1Þ is a profound challenge [3,4,5]. Toy landscapes of flux configurations in compactifications of string theory [8,9,10] admit a vast number N vac of solutions, and the values that the classical vacuum energy ρclass takes in such ensembles can be finely spaced, with differences Δρclass ∼ M4pl=N vac ≪ ρobs.
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