Understand
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.
Built on
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Similar
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1990
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G. Tian, J. Diff. Geom
1998
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T. Mabuchi, Osaka J. Math
1999
Cited alongside, same era.
Al.B. Zamolodchikov, BW2003 Workshop on Mathematical, Theoretical and Phenomenological Challenges Beyond the Standard Model, Vrnjacka Banja, Serbia, 2003, hep-th/0508044
2003
Cited alongside, same era.
F. Ferrari, S. Klevtsov and S. Zelditch, Random Kähler Metrics
Cited in the paper.
Then
2005
Later among the works it cites.
B. Duplantier and S. Sheffield, Invent math
2009
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M.R. Douglas and S. Klevtsov, Comm. Math. Phys
2010
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F. Ferrari, S. Klevtsov and S. Zelditch, to appear in 2011; and works in progress
2011
Closest in time.
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