Petr Dunin-Barkowski, Alexey Sleptsov, Abel Stern
By comparing expressions for degenerated curves, we show that combining two semi-modular forms from the two different ans\"{a}tze for the chiral superstring measure in genus 5 yields a form that is not contained in either ansatz. We use this form to construct a modified ansatz for genus 5. By calculating the resulting two-point function for genus 4 and the cosmological constant in genus 5 we show that for our modified ansatz, both of them vanish as required. Thus, we solve the problem posed in a recent paper by Matone and Volpato. Last, we show that from the currently known forms we cannot construct an ansatz for genus 6 that satisfies all requirements.
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http://arxiv.org/abs/1208.2324
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