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Geometrical formulation of the conformal Ward identity

In this paper we use deep ideas in complex geometry that proved to be very powerful in unveiling the Polyakov measure on the moduli space of Riemann surfaces and lead to obtain the partition function of perturbative string theory for 2, 3, 4 loops. Indeed, a geometrical interpretation of the conform...

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Autor principal: Kachkachi, M
Lenguaje:eng
Publicado: 2002
Materias:
XX
Acceso en línea:http://cds.cern.ch/record/645348
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author Kachkachi, M
author_facet Kachkachi, M
author_sort Kachkachi, M
collection CERN
description In this paper we use deep ideas in complex geometry that proved to be very powerful in unveiling the Polyakov measure on the moduli space of Riemann surfaces and lead to obtain the partition function of perturbative string theory for 2, 3, 4 loops. Indeed, a geometrical interpretation of the conformal Ward identity in two dimensional conformal field theory is proposed: the conformal anomaly is interpreted as a deformation of the complex structure of the basic Riemann surface. This point of view is in line with the modern trend of geometric quantizations that are based on deformations of classical structures. Then, we solve the conformal Ward identity by using this geometrical formalism.
id cern-645348
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2002
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spelling cern-6453482019-09-30T06:29:59Zhttp://cds.cern.ch/record/645348engKachkachi, MGeometrical formulation of the conformal Ward identityXXIn this paper we use deep ideas in complex geometry that proved to be very powerful in unveiling the Polyakov measure on the moduli space of Riemann surfaces and lead to obtain the partition function of perturbative string theory for 2, 3, 4 loops. Indeed, a geometrical interpretation of the conformal Ward identity in two dimensional conformal field theory is proposed: the conformal anomaly is interpreted as a deformation of the complex structure of the basic Riemann surface. This point of view is in line with the modern trend of geometric quantizations that are based on deformations of classical structures. Then, we solve the conformal Ward identity by using this geometrical formalism.IC-2002-104oai:cds.cern.ch:6453482002
spellingShingle XX
Kachkachi, M
Geometrical formulation of the conformal Ward identity
title Geometrical formulation of the conformal Ward identity
title_full Geometrical formulation of the conformal Ward identity
title_fullStr Geometrical formulation of the conformal Ward identity
title_full_unstemmed Geometrical formulation of the conformal Ward identity
title_short Geometrical formulation of the conformal Ward identity
title_sort geometrical formulation of the conformal ward identity
topic XX
url http://cds.cern.ch/record/645348
work_keys_str_mv AT kachkachim geometricalformulationoftheconformalwardidentity