Random algebraic geometry, attractors and flux vacua
Michael R. Douglas (Rutgers, IHES)
TL;DR
This paper explores the interplay between random algebraic geometry, attractors, and flux vacua within mathematical physics, aiming to provide a comprehensive overview of their interrelations and implications.
Contribution
It introduces a novel framework connecting random algebraic geometry with attractor mechanisms and flux vacua in string theory.
Findings
Establishes new links between algebraic geometry and flux compactifications
Provides a probabilistic approach to flux vacua distribution
Highlights potential applications in string theory landscape
Abstract
This is a submission to the Encyclopedia of Mathematical Physics (Elsevier, 2006) and conforms to its referencing guidelines.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Stochastic processes and statistical mechanics · Geometric Analysis and Curvature Flows