nLab
picture changing operator

Contents

Context

Super-Geometry

String theory

Contents

Idea

What is called picture number in string theory is a certain grading originally seen in the quantization of the NSR superstring (Friedan-Martinec-Shenker 86).

The supergeometric meaning was clarified in Belopolsky 97b in terms of an extra grading on differential forms on supermanifolds induced from a choice of integral top-form needed for a notion of integration over supermanifolds, see Catenacci-Grassi-Noja 18

References

The appearance in the quantization of the NSR superstring is due to

A supergeometric interpretation of picture changing operators as part of the geometry of super Riemann surfaces is given in

further amplified in

In this perspective picture number is an extra grading on differential forms on supermanifolds induced from a choice of integral top-form needed to define integration over supermanifolds:

Via pure spinors:

  • Andrei Mikhailov, Dennis Zavaleta, Geometrical framework for picture changing operators in the pure spinor formalism (arXiv:2003.13995)

Last revised on April 1, 2020 at 02:57:43. See the history of this page for a list of all contributions to it.