Remarks on Superstring amplitudes in higher genus

Details Remarks on Superstring amplitudes in higher genus Remarks on Superstring amplitudes in higher genus

2008-04-03

arxiv.org/abs/0804.0512v2

Nucl.Phys.B801:163-173,2008

Physics

High Energy Physics

High Energy Physics - Theory

14 pages. New version. I correct misprints and some expressions

Scientific paper

10.1016/j.nuclphysb.2008.05.009

Very recently, Grushevsky continued D'Hoker and Phong's program of finding the chiral superstring measure from first principles by constructing modular forms satisfying certain factorization constraints. He has proposed an ansatz in genus 4 and conjectured a possible formula for the superstring measure in any genus, subject to the condition that certain modular forms admit holomorphic roots. In this note we want to give some evidence that Grushevsky's approach seems to be very fruitful.

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