The role of the Beltrami parametrization of complex structures in 2-d Free Conformal Field Theory
| dc.creator | Lazzarini, Serge | |
| dc.date | 2005-09-30 | |
| dc.date.accessioned | 2026-07-07T06:19:51Z | |
| dc.date.available | 2026-07-07T06:19:51Z | |
| dc.description | This talk gives a review on how complex geometry and a Lagrangian formulation of 2-d conformal field theory are deeply related. In particular, how the use of the Beltrami parametrization of complex structures on a compact Riemann surface fits perfectly with the celebrated locality principle of field theory, the latter requiring the use infinite dimensional spaces. It also allows a direct application of the local index theorem for families of elliptic operators due to J.-M. Bismut, H. Gillet and C. Soulé. The link between determinant line bundles equipped with the Quillenś metric and the so-called holomorphic factorization property will be addressed in the case of free spin $j$ b-c systems or more generally of free fields with values sections of a holomorphic vector bundles over a compact Riemann surface. | |
| dc.description | Actes du Colloque "Complex Geometry '98" | |
| dc.identifier | https://arxiv.org/abs/math-ph/0509073 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0509073 | |
| dc.identifier | Géométrie Complexe II Aspects contemporains dans les mathématiques et la physique (2004) ?? | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95166 | |
| dc.subject | Mathematical Physics | |
| dc.title | The role of the Beltrami parametrization of complex structures in 2-d Free Conformal Field Theory | |
| dc.type | text |