Spinors and diffeomorphisms |
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Authors: | L. Dąbrowski R. Percacci |
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Affiliation: | (1) International School for Advanced Studies, SISSA, I-34014 Trieste, Italy |
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Abstract: | We discuss the action of diffeomorphisms on spinors on an oriented manifoldM. To do this, we first describe the action of the diffeomorphism groupD(M) on the set =H1 (M,Z2) of inequivalent spin structures and show that it is affine. We argue that in the presence of spinors the gauge group of gravity is a certain double cover ofD(M) which depends on the spin structure. We explicitly compute the action ofD(M) on whenM is a closed Riemann surface; is seen to consist of exactly two orbits, corresponding to even and odd spin structures.On leave of absence from I.F.T., University of Wrocaw, Poland |
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