General Relativity and Gravitation

, Volume 25, Issue 7, pp 663–672 | Cite as

Cohomological gravity

  • Danny Birmingham
  • Mark Rakowski
Research Articles


We construct a theory of cohomological gravity in arbitrary dimensions based upon a local vector supersyrnmetry algebra. The observables in this theory are polynomial, but generally non-local operators, and have a natural interpretation in terms of a universal bundle for gravity. As such, their correlation functions correspond to cohomology classes on moduli spaces of Riemannian connections. In this uniformization approach different moduli spaces are obtained by introducing curvature singularities on codimension two submanifolds via a puncture operator. This puncture operator is constructed from a naturally occurring differential form of co-degree two in the theory, and we are led to speculate on connections between this continuum quantum field theory, and the discrete Regge calculus.


Field Theory Correlation Function Quantum Field Theory Modulus Space Differential Geometry 
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Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • Danny Birmingham
    • 1
  • Mark Rakowski
    • 2
  1. 1.CERNTheory DivisionGeneva 23Switzerland
  2. 2.Institut für PhysikJohannes-Gutenberg-UniversitätMainzGermany

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