On induced gravity in 2d topological theories

D. Amati; S. Elitzur; E. Rabinovici

doi:10.1016/0550-3213(94)90238-0

On induced gravity in 2d topological theories

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

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	45-80
Number of pages	36
Journal	Nuclear Physics B
Volume	418
Issue number	1-2
DOIs	https://doi.org/10.1016/0550-3213(94)90238-0
State	Published - 25 Apr 1994

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AB - 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.

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On induced gravity in 2d topological theories

Abstract

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