Exploring a simple sector of the Einstein-Maxwell landscape

Abstract

We explore the four dimensional Einstein-Maxwell landscape as a toy model in which we can formulate a sphere compactification stabilized by an electromagnetic field. Replacing the compactification sphere by J spheres, we obtain a simple sector of the (2J+2)-dimensional Einstein-Maxwell landscape. In this toy model, we analyze some properties which are very difficult to uncover in the string theory landscape, including: complete moduli stabilization, stability conditions, and state counting. We also show how to construct anthropic states in this model. A detailed comparison between the main features of this landscape and the Bousso-Polchinski landscape is given. We finally speculate on the impact of these phenomena in the string theory landscape.

69 pages, 16 figures, some references added

References in corpus (13)

• Flux Compactification
• The Anthropic Landscape of String Theory
• Les Houches Lectures on Constructing String Vacua
• Einstein Gravity from Conformal Gravity
• TASI Lectures on the Cosmological Constant
• Physics of String Flux Compactifications
• Volume Modulus Inflation and the Gravitino Mass Problem
• A measure of the multiverse
• Landscape Predictions from Cosmological Vacuum Selection
• A Testable Solution of the Cosmological Constant and Coincidence Problems
• A geometric solution to the coincidence problem, and the size of the landscape as the origin of hierarchy
• Addendum to "Hyperbolic Space Cosmologies"
• Counting states in the Bousso-Polchinski Landscape

Cited by in corpus (5)

• Compactifying de Sitter Naturally Selects a Small Cosmological Constant
• Flux Compactifications on $(S_2{)}^N$
• Dark Horse, Dark Matter: Revisiting the SO(16)x SO(16)' Nonsupersymmetric Model in the LHC and Dark Energy Era
• Consequences of moduli stabilization in the Einstein-Maxwell landscape
• Nonlinear dynamics of flux compactification