On Induced gravity in 2-d topological theories
Dec 6, 1993
38 pages
Published in:
- Nucl.Phys.B 418 (1994) 45-80
e-Print:
- hep-th/9312003 [hep-th]
Report number:
- SISSA-160-93-EP,
- RI-154-1993,
- IASSNS-HEP-93-70
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Abstract: (desy)
We study 2-d 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 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.- gauge field theory: Yang-Mills
- field theory: scalar
- dimension: 2
- gravitation: induced
- Wilson loop
- wave function
- field theory: topological
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