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A Lagrangian Formulation of 2-Dimensional Topological Gravity and Čech-De-Rham Cohomology

Carlo M. Becchi·Camillo Imbimbo
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Abstract

We present a very simplified analysis of how one can overcome the Gribov problem in a non-abelian gauge theory. Our formulae, albeit quite simplified, show that possible breakdowns of the Slavnov-Taylor identity could in principle come from singularities in space of gauge orbits. To test these ideas we exhibit the calculation of a very simple correlation function of 2-dimensional topological gravity and we show how in this model the singularities of the moduli space induce a breakdown of the Slavnov-Taylor identity. We comment on the technical relevance of the possibility of including the singularities into a finite number of cells of the moduli space.

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Carlo M. Becchi, Camillo Imbimbo. 1995-11-22. A Lagrangian Formulation of 2-Dimensional Topological Gravity and Čech-De-Rham Cohomology. https://arxiv.org/abs/hep-th/9511156

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