Abstract
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.
Original language | English (US) |
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Pages (from-to) | 341-369 |
Number of pages | 29 |
Journal | Nuclear Physics B |
Volume | 859 |
Issue number | 3 |
DOIs | |
State | Published - Jun 21 2012 |
Funding
This work is supported in part by the Belgian Fonds de la Recherche Fondamentale Collective (grant 2.4655.07 ), the Belgian Institut Interuniversitaire des Sciences Nucléaires (grant 4.4505.86 ), the Interuniversity Attraction Poles Programme (Belgian Science Policy) , the Russian RFFI grant 11-01-00962 and the American NSF grant DMS-0904252 .
ASJC Scopus subject areas
- Nuclear and High Energy Physics