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 |
ASJC Scopus subject areas
- Nuclear and High Energy Physics