par Ferrari, Frank 
;Klevtsov, Semyon ;Zelditch, Steve
Référence Nuclear Physics B
Publication Publié, 2012-02-02
;Klevtsov, Semyon ;Zelditch, SteveRéférence Nuclear Physics B
Publication Publié, 2012-02-02
Article révisé par les pairs
| Résumé : | The Mabuchi energy is an interesting geometric functional on the space of Kähler metrics that plays a crucial rôle in the study of the geometry of Kähler manifolds. We show that this functional, as well as other related geometric actions, contribute to the effective gravitational action when a massive scalar field is coupled to gravity in two dimensions in a small mass expansion. This yields new theories of two-dimensional quantum gravity generalizing the standard Liouville models. © 2012 Elsevier B.V. |
