Ramifications of Lineland
Daniel Grumiller, Rene Meyer

TL;DR
This paper provides a non-technical overview of gravity in two dimensions, exploring its applications in string theory, black hole physics, quantum gravity models, and related mathematical frameworks.
Contribution
It offers a comprehensive summary connecting 2D gravity with various physical models and mathematical structures, highlighting interdisciplinary insights.
Findings
Connections between 2D gravity and string theories
Applications in black hole thermodynamics and quantum gravity
Mathematical relations to integrable and non-commutative models
Abstract
A non-technical overview on gravity in two dimensions is provided. Applications discussed in this work comprise 2D type 0A/0B string theory, Black Hole evaporation/thermodynamics, toy models for quantum gravity, for numerical General Relativity in the context of critical collapse and for solid state analogues of Black Holes. Mathematical relations to integrable models, non-linear gauge theories, Poisson-sigma models, KdV surfaces and non-commutative geometry are presented.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Noncommutative and Quantum Gravity Theories
