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 noninvariant phase factor that is the Kirillov-Kostant one-form on the (co)adjoint orbit of the group. However, no evidence for gravity-matter forces is found.
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