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- Title
Super Riemann Surfaces and Fatgraphs.
- Authors
Schwarz, Albert S.; Zeitlin, Anton M.
- Abstract
Our goal is to describe superconformal structures on super Riemann surfaces (SRSs) based on data assigned to a fatgraph. We start from the complex structures on punctured (1 | 1) -supermanifolds, characterizing the corresponding moduli and the deformations using Strebel differentials and certain Čech cocycles for a specific covering, which we reproduce from fatgraph data, consisting of U (1) -graph connection and odd parameters at the vertices. Then, we consider dual (1 | 1) -supermanifolds and related superconformal structures for N = 2 super Riemann surfaces. The superconformal structures, N = 1 SRS, are computed as the fixed points of involution on the supermoduli space of N = 2 SRS.
- Subjects
RIEMANN surfaces; COCYCLES; STRING theory
- Publication
Universe (2218-1997), 2023, Vol 9, Issue 9, p384
- ISSN
2218-1997
- Publication type
Article
- DOI
10.3390/universe9090384