Quantization of flag manifolds and their supersymmetric extensions

Murray, Séan; Sämann, Christian

Adv. Theor. Math. Phys., Tome 12 (2008) no. 3, p. 641-710 / Harvested from Project Euclid

Résumé

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.

Publié le : 2008-06-15
Classification:

@article{1210167655,
     author = {Murray, S\'ean and S\"amann, Christian},
     title = {Quantization of flag manifolds and their supersymmetric extensions},
     journal = {Adv. Theor. Math. Phys.},
     volume = {12},
     number = {3},
     year = {2008},
     pages = { 641-710},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1210167655}
}

Murray, Séan; Sämann, Christian. Quantization of flag manifolds and their supersymmetric extensions. Adv. Theor. Math. Phys., Tome 12 (2008) no. 3, pp.  641-710. http://gdmltest.u-ga.fr/item/1210167655/