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- W2963903021 abstract "In these notes we explain how the CFT description of random matrix models can be used to perform actual calculations. Our basic example is the hermitian matrix model, reformulated as a conformal invariant theory of free fermions. We give an explicit operator construction of the corresponding collective field theory in terms of a bosonic field on a hyperelliptic Riemann surface, with special operators associated with the branch points. The quasiclassical expressions for the spectral kernel and the joint eigenvalue probabilities are then easily obtained as correlation functions of current, fermionic and twist operators. The result for the spectral kernel is valid both in macroscopic and microscopic scales. At the end we briefly consider generalizations in different directions." @default.
- W2963903021 created "2019-07-30" @default.
- W2963903021 creator A5052683321 @default.
- W2963903021 date "1999-07-01" @default.
- W2963903021 modified "2023-09-26" @default.
- W2963903021 title "Conformal Field Theory Techniques in Random Matrix models" @default.
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