On the critical points of the entropic principle

Abstract

In a recent paper, hep-th/0509109, Gukov et al. introduced an entropy functional on the moduli space of Calabi-Yau compactifications. The maxima of this functional are then interpreted as "preferred" Calabi-Yau compactifications. In this note we show that for compact Calabi-Yaus, all regular critical points of this entropic principle are maxima.

11 pages

References in corpus (3)

• Attractors and the Holomorphic Anomaly
• On the partition sum of the NS five-brane
• The Boundedness of Euclidean Gravity and the Wavefunction of the Universe

Cited by in corpus (4)

• On some properties of the Attractor Equations
• Extremal Black Hole and Flux Vacua Attractors
• Extremal non-BPS black holes and entropy extremization
• Entropy Maximization in the Presence of Higher-Curvature Interactions