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Three-dimensional gravity, point particles and Liouville theory - MaRDI portal

Three-dimensional gravity, point particles and Liouville theory (Q2724845)

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scientific article; zbMATH DE number 1618275
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Three-dimensional gravity, point particles and Liouville theory
scientific article; zbMATH DE number 1618275

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    Three-dimensional gravity, point particles and Liouville theory (English)
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    17 February 2003
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    general relativity
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    quantization of the gravitational field
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    Liouville field theory
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    This paper elaborates on the bulk/boundary relation between negative cosmological constant three-dimensional gravity and Liouville field theory (LFT). The author develops an interpretation of LFT non-normalizable states in terms of particles moving in the bulk. This interpretation is suggested by the fact that `heavy' vertex operators of LFT create conical singularities and thus should correspond to point particles moving inside AdS. He confirms this expectation by comparing the semiclassical approximation to the LET two-point function with the appropriately regularized gravity action evaluated on the corresponding metric.
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