superalgebra and (synthetic ) supergeometry
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
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
Alexander Belopolsky, New Geometrical Approach to Superstrings (arXiv:hep-th/9703183)
Alexander Belopolsky, Picture changing operators in supergeometry and superstring theory (arXiv:hep-th/9706033)
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, see
Last revised on July 26, 2018 at 07:57:36. See the history of this page for a list of all contributions to it.