A Stringy Wave Function for an S^3 Cosmology

Abstract

Using the recent observations of the relation between Hartle-Hawking wave function and topological string partition function, we propose a wave function for scalar metric fluctuations on S^3 embedded in a Calabi-Yau. This problem maps to a study of non-critical bosonic string propagating on a circle at the self-dual radius. This can be viewed as a stringy toy model for a quantum cosmology.

21 pages, 3 figures, harvmac

References in corpus (5)

• Black Holes, q-Deformed 2d Yang-Mills, and Non-perturbative Topological Strings
• Hartle-Hawking Wave-Function for Flux Compactifications
• Baby Universes in String Theory
• Long strings in two dimensional string theory and non-singlets in the matrix model
• BPS Microstates and the Open Topological String Wave Function

Cited by in corpus (11)

• The Entropic Principle and Asymptotic Freedom
• Pre-Inflationary Spacetime in String Cosmology
• D-string fluid in conifold: I. Topological gauge model
• Partition function of non-supersymmetric black holes in the supergravity limit
• Topological string in harmonic space and correlation functions in $S^3$ stringy cosmology
• The Geometry of The Entropic Principle and the Shape of the Universe
• 4D black holes and holomorphic factorization of the 0A matrix model
• Quantum Cosmology Aspects Of D3 Branes and Tachyon Dynamics
• Abelian Varieties, RCFTs, Attractors, and Hitchin Functional in Two Dimensions
• Noncritical-Topological Correspondence: Disc Amplitudes and Noncompact Branes
• Universe Decay, Inflation and the Large Eigenvalue of the Cosmological Constant Seesaw