On induced gravity in 2d topological theories

D. Amati*, S. Elitzur, E. Rabinovici

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

We study 2d 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.

Original languageEnglish
Pages (from-to)45-80
Number of pages36
JournalNuclear Physics B
Volume418
Issue number1-2
DOIs
StatePublished - 25 Apr 1994

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