We study 2d phiF 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 phi 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.
On induced gravity in 2-d topological theories / Amati, D.; Elitzur, S.; Rabinovici, E.. - In: NUCLEAR PHYSICS. B. - ISSN 0550-3213. - 418:1-2(1994), pp. 45-80. [10.1016/0550-3213(94)90238-0]
On induced gravity in 2-d topological theories
Amati, D.;
1994-01-01
Abstract
We study 2d phiF 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 phi 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
