Ramifications of Lineland

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.

45 pages, 3 eps figures, proceedings contribution to 5th Workshop on Quantization, Dualities & Integrable Systems in Denizli, Turkey; v2: added refs. and a comment on phase transitions: v3: minor cosmetic change

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Cited by in corpus (13)

• Instability in cosmological topologically massive gravity at the chiral point
• Self-completeness and spontaneous dimensional reduction
• Primordial Black Hole Evaporation and Spontaneous Dimensional Reduction
• The tetralogy of Birkhoff theorems
• Quasinormal frequencies of asymptotically flat two-dimensional black holes
• Quasinormal frequencies of asymptotically anti-de Sitter black holes in two dimensions
• Primordial black holes in a dimensionally reduced universe
• Black holes in the conical ensemble
• Nonsingular black hole in two-dimensional asymptotically flat spacetime
• Duality between 1+1 dimensional Maxwell-Dilaton gravity and Liouville field theory
• Affine quantization of Black Holes: thermodynamics, singularity removal and displaced horizons
• Quantum gravity and the cosmological constant: lessons from two-dimensional dilaton gravity
• Quasinormal frequencies of a two-dimensional asymptotically anti-de Sitter black hole of the dilaton gravity theory