On Ramond Decorations

On Ramond Decorations

We impose constraints on the odd coordinates of super-Teichmüller space in the uniformization picture for the monodromies around Ramond punctures, thus reducing the overall odd dimension to be compatible with that of the moduli spaces of super Riemann surfaces. Namely, the monodromy of a puncture mu...

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Veröffentlicht in:Commun.Math.Phys 2019-10, Vol.371 (1), p.145-157
Hauptverfasser: Ip, Ivan C. H., Penner, Robert C., Zeitlin, Anton M.
Format: Artikel
Sprache:eng
Schlagworte:
Classical and Quantum Gravitation
Complex Systems
High Energy Physics - Theory
Mathematical and Computational Physics
Mathematical Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Riemann surfaces
Subgroups
Theoretical
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Zusammenfassung:We impose constraints on the odd coordinates of super-Teichmüller space in the uniformization picture for the monodromies around Ramond punctures, thus reducing the overall odd dimension to be compatible with that of the moduli spaces of super Riemann surfaces. Namely, the monodromy of a puncture must be a true parabolic element of the canonical subgroup S L ( 2 , R ) of OSp (1|2).
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-019-03424-5