Quantum States of String-Inspired Lineal Gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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23 pages in REVTEX, MIT-CTP-2278

Scientific paper

10.1103/PhysRevD.50.3913

We construct quantum states for a (1+1) dimensional gravity-matter model that is also a gauge theory based on the centrally extended Poincar\'e 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.

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