Construction of multiloop superstring amplitudes in the light-cone gauge

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Abstract
Inexact bosonic and fermionic modes are used to give a modular-invariant and holomorphic construction of multiloop amplitudes for heterotic and type-II superstring amplitudes in the light-cone gauge. Mapping methods are used to simplify this, and a short-string limit is deployed to replace external interaction vertices by all but two of the Koba-Nielsen sources. Superstring Feynman diagram rules are deduced to describe the resulting amplitudes. A further reduction at one loop is shown to lead to the result already obtained by dual resonance methods.

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