Dolbeault Complex on S^4{·} and S^6{·} through Supersymmetric Glasses

S^4 is not a complex manifold, but it is sufficient to remove one point to make it complex. Using supersymmetry methods, we show that the Dolbeault complex (involving the holomorphic exterior derivative ∂ and its Hermitian conjugate) can be perfectly well defined in this case. We calculate the spect...

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Bibliographic Details
Main Author: Andrei V. Smilga
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2011-11-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2011.105