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June 2008 Quantization of flag manifolds and their supersymmetric extensions
Séan Murray, Christian Sämann
Adv. Theor. Math. Phys. 12(3): 641-710 (June 2008).

Abstract

We first review the description of flag manifolds in terms of Plücker 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 Plücker 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.

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Séan Murray. Christian Sämann. "Quantization of flag manifolds and their supersymmetric extensions." Adv. Theor. Math. Phys. 12 (3) 641 - 710, June 2008.

Information

Published: June 2008
First available in Project Euclid: 7 May 2008

zbMATH: 1149.81020
MathSciNet: MR2399321

Rights: Copyright © 2008 International Press of Boston

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Vol.12 • No. 3 • June 2008
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