Quantum States of String-Inspired Lineal Gravity

Abstract

We construct quantum states for a (1+1) dimensional gravity-matter model that is also a gauge theory based on the centrally extended Poincaré group. Explicit formulas are found, which exhibit interesting structures. For example wave functionals are gauge invariant except for a gauge non-invariant phase factor that is the Kirillov-Kostant 1-form on the (co-) adjoint orbit of the group. However no evidence for gravity-matter forces is found.

23 pages in REVTEX, MIT-CTP-2278

References in corpus (8)

• Exact Dirac Quantization of All 2-D Dilaton Gravity Theories
• Gauge Invariant Formulations of Lineal Gravity
• Energy-Momentum Conservation in General Relativity
• Poincaré Gauge Theory for Gravitational Forces in (1+1) Dimensions
• Geometric Gravitational Forces on Particles Moving in a Line
• Poincaré Gauge Theories for Lineal Garvity
• On Induced Gravity in 2-d Topological Theories
• Unrecognizable Black Holes in Two Dimensions

Cited by in corpus (22)

• Exact Path Integral Quantization of Generic 2-D Dilaton Gravity
• TWO DIMENSIONAL DILATON GRAVITY COUPLED TO AN ABELIAN GAUGE FIELD
• Exact Physical Black Hole States in Generic 2-D Dilaton Gravity
• Functional Schroedinger and BRST Quantization of (1+1)--Dimensional Gravity
• The Topological G/G WZW Model in the Generalized Momentum Representation
• Dirac Quantization Gravity-Yang-Mills Systems in 1+1 Dimensions
• AdS_2 Supergravity and Superconformal Quantum Mechanics
• Geometry of the physical phase space in quantum gauge models
• On the conformal equivalence between 2D black holes and Rindler spacetime
• Nonperturbative path integral of 2d dilaton gravity and two-loop effects from scalar matter
• Conformal equivalence of 2D dilaton gravity models
• The Asymptotic Dynamics of two-dimensional (anti-)de Sitter Gravity
• Edge States and Entropy of 2d Black Holes
• Quantum Gravity and Turning Points in the Semiclassical Approximation
• Solutions to a Quantal Gravity-Matter Field Theory on a Line
• Non Abelian BF theories with sources and 2-D gravity
• String-Inspired Gravity with Interacting Point Particles
• A solution to the zero-hamiltonian problem in 2-D gravity
• An effective Hamiltonian for 2D black hole Physics
• Exact Quantum States for all Two-Dimensional Dilaton Gravity Theories
• String-Inspired Gravity Coupled to Yang-Mills Fields
• Schwinger terms in gravitation in two dimensions as a consequence of the gravitational anomaly