Modular invariance and the two-loop vanishing of the cosmological constant

Physics

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Scientific paper

With a moduli independent choice of super-Beltrami differentials, we show, by using the genus-two hyperelliptic formalism, that the requirement of modular invariance determines completely the two-loop amplitudes of the heterotic string theory for arbitrary external legs and that the cosmological constant is zero pointwise in moduli space.
On leave of absence from the Institute for Nuclear Research and Nuclear Studies, Bulgarian Academy of Sciences, Boulevard Lenin 72, Sofia 1184, Bulgaria.

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