A Functional and Lagrangian Formulation of Two-Dimensional Topological Gravity

Details A Functional and Lagrangian Formulation of Two-Dimensional Topological Gravity A Functional and Lagrangian Formulation of Two-Dimensional Topological Gravity

1994-06-15

arxiv.org/abs/hep-th/9406096v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, harvmac, CERN-TH-7302/94, GEF-Th-6/1994

Scientific paper

We reconsider two-dimensional topological gravity in a functional and lagrangian framework. We derive its Slavnov-Taylor identities and discuss its (in)dependence on the background gauge. Correlators of reparamerization invariant observables are shown to be globally defined forms on moduli space. The potential obstruction to their gauge-independence is the non-triviality of the line bundle on moduli space ${\cal L}_x$, whose first Chern-class is associated to the topological invariants of Mumford, Morita and Miller. Based on talks given at the Fubini Fest, Torino, 24-26 February 1994, and at the Workshop on String Theory, Trieste, 20-22 April 1994.

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