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 (antighost x 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.

CONSTRAINED TOPOLOGICAL FIELD-THEORY

ANSELMI, DAMIANO;
1994-01-01

Abstract

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 (antighost x 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.
1994
Anselmi, Damiano; Fre, P; Girardello, L; Soriani, P.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/25498
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