Negative Energy Density in Calabi-Yau Compactifications

Abstract

We show that a large class of supersymmetric compactifications, including all simply connected Calabi-Yau and G_2 manifolds, have classical configurations with negative energy density as seen from four dimensions. In fact, the energy density can be arbitrarily negative -- it is unbounded from below. Nevertheless, positive energy theorems show that the total ADM energy remains positive. Physical consequences of the negative energy density include new thermal instabilities, and possible violations of cosmic censorship.

25 pages, v2: few clarifying comments and reference added

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• de Sitter Vacua in String Theory
• Modeling the fifth dimension with scalars and gravity
• Cosmology With Negative Potentials
• The Quantum Interest Conjecture
• Quantum inequalities in two dimensional curved spacetimes
• Topologically Induced Instability in String Theory
• The Collapse of Large Extra Dimensions
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