Regularity of the superstring supermeasure and the superperiod map

Giovanni Felder, David Kazhdan, Alexander Polishchuk*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

The supermeasure whose integral is the genus g vacuum amplitude of superstring theory is potentially singular on the locus in the moduli space of supercurves where the corresponding even theta-characteristic has nontrivial sections. We show that the supermeasure is actually regular for g≤ 11. The result relies on the study of the superperiod map. We also show that the minimal power of the classical Schottky ideal that annihilates the image of the superperiod map is equal to g if g is odd and is equal to g or g- 1 if g is even.

Original languageEnglish
Article number17
JournalSelecta Mathematica, New Series
Volume28
Issue number1
DOIs
StatePublished - Feb 2022

Bibliographical note

Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

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