ISSN:
1432-0916
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract We study the holomorphic structure of certain complex manifolds associated withW ∞ algebras, namely, the flag manifoldsW ∞/T ∞ andW 1+∞/T 1+∞, and the spacesW ∞/SL(∞),R) andW 1+∞/GL(∞,R), whereT ∞ andT 1+∞ are the maximal tori inW ∞ andW 1+∞. We compute their Ricci curvature and show how the results are related to the anomaly-freedom conditions forW ∞ andW 1+∞. We discuss the relation of these manifolds with extensions of universal Teichmüller space.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02099295
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