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NSR superstring measures in genus 5
Authors:Petr Dunin-Barkowski  Alexey Sleptsov  Abel Stern
Institution:1. Korteweg-de Vries Institute for Mathematics, University of Amsterdam, The Netherlands;2. Institute for Theoretical and Experimental Physics, Moscow, Russia
Abstract:Currently there are two proposed ansätze for NSR superstring measures: the Grushevsky ansatz and the OPSMY ansatz, which for genera g?4g?4 are known to coincide. However, neither the Grushevsky nor the OPSMY ansatz leads to a vanishing two-point function in genus four, which can be constructed from the genus five expressions for the respective ansätze. This is inconsistent with the known properties of superstring amplitudes.
Keywords:NSR measures  Siegel modular forms  Superstring theory  Lattice theta series  Riemann theta constants
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