Constrained Topological Field Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX file, 11 pages, SISSA/ISAS 67/94/EP, IFUM 469/FT [one reference corrected]

Scientific paper

10.1016/0370-2693(94)90372-7

We derive a model of constrained topological gravity, a theory recently introduced by us through the twist of N=2 Liouville theory, starting from the general BRST algebra and imposing the moduli space constraint as a gauge fixing. To do this, it is necessary to introduce a formalism that allows a careful treatment of the global and the local degrees of freedom of the fields. Surprisingly, the moduli space constraint arises from the simplest and most natural gauge-fermion ({\sl antighost} $\times$ {\sl Lagrange multiplier}), confirming the previous results. The simplified technical set-up provides a deeper understanding for constrained topological gravity and a convenient framework for future investigations, like the matter coupling and the analysis of the effects of the constraint on the holomorphic anomaly.

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