NSR superstring measures in genus 5
arXiv:1208.2324 · doi:10.1016/j.nuclphysb.2013.03.008
Abstract
Currently there are two proposed ansatze for NSR superstring measures: the Grushevsky ansatz and the OPSMY ansatz, which for genera g<=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 ansatze. This is inconsistent with the known properties of superstring amplitudes. In the present paper we show that the Grushevsky and OPSMY ansatze do not coincide in genus five. Then, by combining these ansatze, we propose a new ansatz for genus five, which now leads to a vanishing two-point function in genus four. We also show that one cannot construct an ansatz from the currently known forms in genus 6 that satisfies all known requirements for superstring measures.
several corrections
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- Extending the Belavin-Knizhnik "wonderful formula" by the characterization of the Jacobian
- On the pole structures of the disconnected part of hyper elliptic g loop M point super string amplitudes
- Modular Invariant Regularization of String Determinants and the Serre GAGA Principle
- RNS superstring measure for genus 3