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- W1628176688 abstract "We investigate the physical interpretation of the Riemann zeta function as a FZZT brane partition function associated with a matrix/gravity correspondence. The Hilbert-Polya operator in this interpretation is the master matrix of the large N matrix model. Using a related function $Xi(z)$ we develop an analogy between this function and the Airy function Ai(z) of the Gaussian matrix model. The analogy gives an intuitive physical reason why the zeros lie on a critical line. Using a Fourier transform of the $Xi(z)$ function we identify a Kontsevich integrand. Generalizing this integrand to $n times n$ matrices we develop a Kontsevich matrix model which describes n FZZT branes. The Kontsevich model associated with the $Xi(z)$ function is given by a superposition of Liouville type matrix models that have been used to describe matrix model instantons." @default.
- W1628176688 created "2016-06-24" @default.
- W1628176688 creator A5063751806 @default.
- W1628176688 date "2007-08-06" @default.
- W1628176688 modified "2023-09-27" @default.
- W1628176688 title "Riemann Hypothesis, Matrix/Gravity Correspondence and FZZT Brane Partition Functions" @default.
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