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Title:
Supermoduli and superstring amplitudes
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Abstract:
Perturbative superstring amplitudes are given by integrals over the moduli spaces of super Riemann surfaces, summed over genera. We concentrate on the case of genus two which is the smallest genus at which supermoduli enter superstring amplitudes in a non-trivial way. Using the special properties of genus-two supermoduli space, we will show that superstring amplitudes may be evaluated for an arbitrary number of Neveu-Schwarz string states, thanks to new identities between modular tensors of Sp(4,Z).
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