Gravitational actions in two dimensions and the Mabuchi functional

Frank Ferrari; Semyon Klevtsov; Steve Zelditch

doi:10.1016/j.nuclphysb.2012.02.003

Gravitational actions in two dimensions and the Mabuchi functional

Frank Ferrari^*, Semyon Klevtsov, Steve Zelditch

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

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)
Pages (from-to)	341-369
Number of pages	29
Journal	Nuclear Physics B
Volume	859
Issue number	3
DOIs	https://doi.org/10.1016/j.nuclphysb.2012.02.003
State	Published - Jun 21 2012

ASJC Scopus subject areas

Nuclear and High Energy Physics

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author = "Frank Ferrari and Semyon Klevtsov and Steve Zelditch",

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Gravitational actions in two dimensions and the Mabuchi functional

Abstract

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