TY - JOUR

T1 - Random geometry, quantum gravity and the Kähler potential

AU - Ferrari, Frank

AU - Klevtsov, Semyon

AU - Zelditch, Steve

N1 - Funding Information:
This work is supported in part by the Belgian FRFC (grant 2.4655.07 ), the Belgian IISN (grant 4.4511.06 and 4.4514.08 ), the IAP Programme (Belgian Science Policy) , the RFBR grant 11-01-00962 and the NSF grant DMS-0904252 .

PY - 2011/11/17

Y1 - 2011/11/17

N2 - 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.

AB - 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.

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U2 - 10.1016/j.physletb.2011.09.098

DO - 10.1016/j.physletb.2011.09.098

M3 - Article

AN - SCOPUS:82555176629

VL - 705

SP - 375

EP - 378

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 4

ER -