Random geometry, quantum gravity and the Kähler potential

Frank Ferrari*, Semyon Klevtsov, Steve Zelditch

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We propose a new method to define theories of random geometries, using an explicit and simple map between metrics and large hermitian matrices. We outline some of the many possible applications of the formalism. For example, a background-independent measure on the space of metrics can be easily constructed from first principles. Our framework suggests the relevance of a new gravitational effective action and we show that it occurs when coupling the massive scalar field to two-dimensional gravity. This yields new types of quantum gravity models generalizing the standard Liouville case.

Original languageEnglish (US)
Pages (from-to)375-378
Number of pages4
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume705
Issue number4
DOIs
StatePublished - Nov 17 2011

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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