Quantization of flag manifolds and their supersymmetric extensions

Sean Murray, Christian Saemann

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

We first review the description of flag manifolds in terms of Pluecker coordinates and coherent states. Using this description, we construct fuzzy versions of the algebra of functions on these spaces in both operatorial and star product language. Our main focus is here on flag manifolds appearing in the double fibration underlying the most common twistor correspondences. After extending the Pluecker description to certain supersymmetric cases, we also obtain the appropriate deformed algebra of functions on a number of fuzzy flag supermanifolds. In particular, fuzzy versions of Calabi-Yau supermanifolds are found.
Original languageEnglish
Pages (from-to)641-710
Number of pages70
JournalAdvances in Theoretical and Mathematical Physics
Volume12
Issue number3
DOIs
Publication statusPublished - Jun 2008

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