Inequivalence of first- and second-order formulations in D=2 gravity models

@article{Deser1996InequivalenceOF,
  title={Inequivalence of first- and second-order formulations in D=2 gravity models},
  author={Stanley Deser},
  journal={Foundations of Physics},
  year={1996},
  volume={26},
  pages={617-621}
}
  • S. Deser
  • Published 11 December 1995
  • Physics
  • Foundations of Physics
The usual equivalence between the Palalini and metric (or affinity and vielbein) formulations of Einstein theory fails in two spacetime dimensions for its “Kaluza-Klein” reduced (as well as for its standard) version. Among the differences is the necessary vanishing of the cosmological constant in the first-order forms. The purely affine Eddington formulation of Einstein theory also fails here. 
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