Let G be a compact connected Lie group, and (M, |) a compact Hamiltonian G-space, with moment map J : M Γ g\*. Under the assumption that these data are pre-quantizable, one can construct an associated Spin c Dirac operator % C , whose equivariant index yields a virtual representation of G. We prove
The Dirac operator on symplectic spinors
β Scribed by Katharina Habermann
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 509 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0232-704X
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π SIMILAR VOLUMES
The representations of \(\operatorname{Spin}(4,2)\), seem to be of particular physical interest since its quotient \(S O(4,2)\), is the conformal group of the spacetime. Kostant [7] has considered the Laplacian on a projective cone in \(R^{8}\) and has shown that the kernel \(H\) of the Laplacian is
It is noted that two kinds of basis spinors (the unified and the separated basis spinors) employed in Dirac-Fock-Roothaan calculations are equivalent. For large components of the basis spinors the separated basis spinors take simpler forms than the unified ones while for small components the reverse