A functional and Lagrangian formulation of two-dimensional topological gravity

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. Th...

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Detalles Bibliográficos
Autores principales: Becchi, C.M., Collina, R., Imbimbo, C.
Lenguaje:eng
Publicado: 1994
Materias:
General Theoretical Physics
Acceso en línea:http://cds.cern.ch/record/264545
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author Becchi, C.M.
Collina, R.
Imbimbo, C.
author_facet Becchi, C.M.
Collina, R.
Imbimbo, C.
author_sort Becchi, C.M.
collection CERN
description 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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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1994
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spelling cern-2645452023-03-14T18:56:40Zhttp://cds.cern.ch/record/264545engBecchi, C.M.Collina, R.Imbimbo, C.A functional and Lagrangian formulation of two-dimensional topological gravityGeneral Theoretical PhysicsWe 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.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.hep-th/9406096CERN-TH-7302-94GEF-TH-6-1994CERN-TH-7302-94GEF-TH-94-6oai:cds.cern.ch:2645451994
spellingShingle General Theoretical Physics
Becchi, C.M.
Collina, R.
Imbimbo, C.
A functional and Lagrangian formulation of two-dimensional topological gravity
title A functional and Lagrangian formulation of two-dimensional topological gravity
title_full A functional and Lagrangian formulation of two-dimensional topological gravity
title_fullStr A functional and Lagrangian formulation of two-dimensional topological gravity
title_full_unstemmed A functional and Lagrangian formulation of two-dimensional topological gravity
title_short A functional and Lagrangian formulation of two-dimensional topological gravity
title_sort functional and lagrangian formulation of two-dimensional topological gravity
topic General Theoretical Physics
url http://cds.cern.ch/record/264545
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AT imbimboc afunctionalandlagrangianformulationoftwodimensionaltopologicalgravity
AT becchicm functionalandlagrangianformulationoftwodimensionaltopologicalgravity
AT collinar functionalandlagrangianformulationoftwodimensionaltopologicalgravity
AT imbimboc functionalandlagrangianformulationoftwodimensionaltopologicalgravity

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