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• W2077250424 abstract "It is shown how the algebraic geometry of the moduli space of Riemann surfaces entirely determines the partition function of Polyakov's string theory. This is done by using elements of Arakelov's intersection theory applied to determinants of families of differential operators parametrized by moduli space. As a result we write the partition function in terms of exponentials of Arakelov's Green functions and Faltings' invariant on Riemann surfaces. Generalizing to arithmetic surfaces, i.e. surfaces which are associated to an algebraic number fieldK, we establish a connection between string theory and the infinite primes ofK. As a result we conjecture that the usual partition function is a special case of a new partition function on the moduli space defined overK." @default.
• W2077250424 created "2016-06-24" @default.
• W2077250424 creator A5079297466 @default.
• W2077250424 date "1988-12-01" @default.
• W2077250424 modified "2023-09-24" @default.
• W2077250424 title "String theory and algebraic geometry of moduli spaces" @default.
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• W2077250424 doi "https://doi.org/10.1007/bf01229459" @default.
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