Jego, Charles (2007) Non-rational conformal field theories and applications in string theory. PhD thesis CPHT, EP - CPHT Centre de Physique Théorique, EP/X p.169.
Full text not available from this repository. |
|
Alternative Locations: http://www.imprimerie.polytechnique.fr/Theses/Files/Jego.pdf
Abstract
This dissertation is devoted to the study of certain non-rational
conformal field theories which arise in the context of string theory.
In contrast to rational conformal field theories, which have been
extensively studied in the past few decades, non-rational theories are
not yet well-understood. A better understanding is crucial in order to
get a good grip on string theory in non-compact curved backgrounds,
and eventually to address cosmological issues. Since the dissertation
relies heavily on Lie group theory and conformal field theory,
detailed introductions to these fields are provided for the reader who
may not be familiar with them. The dissertation then moves on to a
detailed presentation of the work that was done in the course of the
PhD. This work dealt with pp-waves with Heisenberg symmetry, a
Verlinde-like formula in non-rational conformal field theories (for
instance in H_3^+), and rigid open strings whose endpoints live on
co-adjoint orbits of Lie algebras.
| Item Type: | PhD Thesis (PhD) |
|---|---|
| PhD Supervisor: | Kiritsis, Elias |
| Date: | June 2007 |
| Board of examiners: | Costas, Bachas and Michel, Bauer and Pierre, Bieliavsky and Vladimir, Dotsenko and Elias, Kiritsis and Boris, Pioline and Jan, Troost |
| Ecole Doctorale: | ED 447 ECOLE DOCTORALE DE L'ECOLE POLYTECHNIQUE |
| Discipline: | CPHT |
| Collection (Fonds): | Ecole Polytechnique (EP/X) |
| Institution: | EP/X |
| Department: | EP - CPHT Centre de Physique Théorique |
| Subjects: | 3. Physics, Optics |
| Uncontrolled Keywords: | Non-rational conformal field theories, Heisenberg algebra, Verlinde formula, Open strings, Theorie des champs conformes non rationnelles, algebres de Heisenberg, formule de Verlinde, Cordes ouvertes |
| ID Code: | 2591 |
| Deposited By: | Laurence Vidament |
| Deposited On: | 27 June 2007 |
Table of content
1) Resume
2) Introduction
3) Theorie des representations des groupes de Lie et orbites
4) Theorie des champs conformes
5) Algebres de Heisenberg et onde planes
6) Formule de Verlinde dans des theories des champs conformes non rationnelles
7) Cordes ouvertes rigides, algebres de Lie et produits etoiles
8) Conclusion de la these et ouverture
9) Remerciements
Appendices:
A) Divers resultats utiles
B) Fonctions hypergeometriques 3F2(1) et transformations des symboles 3j
Repository Staff Only: edit this item