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arXiv · hep-th/9312003

On Induced Gravity in 2-d Topological Theories

D. Amati S. Elitzur·E. Rabinovici
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Abstract

We study 2-d $ϕF$ gauge theories with the objective to understand, also at the quantum level, the emergence of induced gravity. The wave functionals - representing the eigenstates of a vanishing flat potential - are obtained in the $ϕ$ representation. The composition of the space they describe is then analyzed: the state corresponding to the singlet representation of the gauge group describes a topological universe. For other representations a metric which is invariant under the residual gauge group is induced, apart from possible topological obstructions. Being inherited from the group metric it is rather rigid.

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D. Amati S. Elitzur, E. Rabinovici. 1993-12-01. On Induced Gravity in 2-d Topological Theories. https://doi.org/10.1016/0550-3213(94)90238-0

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