General Form of Dilaton Gravity and Nonlinear Gauge Theory
Noriaki Ikeda, Izawa K.-I
TL;DR
This paper develops a gauge-theoretic framework for dilaton gravity using nonlinear Lie algebras, revealing the scalar field's origin in two-dimensional gravity.
Contribution
It introduces a general gauge theory based on nonlinear Lie algebras, deriving a generic form of dilaton gravity from nonlinear Poincaré algebra.
Findings
Derived a gauge-theoretic form of dilaton gravity
Connected scalar fields in 2D gravity to gauge theory structures
Provided a new perspective on non-geometric scalar fields
Abstract
We construct a gauge theory based on general nonlinear Lie algebras. The generic form of `dilaton' gravity is derived from nonlinear Poincar{\' e} algebra, which exhibits a gauge-theoretical origin of the non-geometric scalar field in two-dimensional gravitation theory.
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