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Pure Spinors on Lie group | | Anton Alekseev
; Henrique Bursztyn
; Eckhard Meinrenken
; | | Date: |
10 Sep 2007 | | Abstract: | For any manifold M, the direct sum TM oplus T*M carries a natural inner
product given by the pairing of vectors and covectors. Differential forms on M
may be viewed as spinors for the corresponding Clifford bundle, and in
particular there is a notion of emph{pure spinor}.
In this paper, we study pure spinors and Dirac structures in the case when
M=G is a Lie group with a bi-invariant pseudo-Riemannian metric, e.g. G
semi-simple. The applications of our theory include the construction of
distinguished volume forms on conjugacy classes in G, and a new approach to the
theory of quasi-Hamiltonian G-spaces. | | Source: | arXiv, 0709.1452 | | Services: | Forum | Review | PDF | Favorites | |
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