Anomalies and curvature ofW manifolds |
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| Authors: | C. N. Pope L. J. Romans E. Sezgin X. Shen |
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| Affiliation: | (1) Center for Theoretical Physics, Texas A&M University, 77843-4242 College Station, TX, USA;(2) Department of Physics, University of Southern California, 90089-0484 Los Angeles, CA, USA |
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| Abstract: | We study the holomorphic structure of certain complex manifolds associated withW algebras, namely, the flag manifoldsW/T andW1+/T1+, and the spacesW/SL(),R) andW1+/GL(,R), whereT andT1+ are the maximal tori inW andW1+. We compute their Ricci curvature and show how the results are related to the anomaly-freedom conditions forW andW1+. We discuss the relation of these manifolds with extensions of universal Teichmüller space.Supported in part by the U.S. Department of Energy, under grant DE-AS05-81ER40039Supported in part by the U.S. Department of Energy, under grant DE-FG03-84ER40168 |
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