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References
See, e.g., A. Salam, Proc. 19th Int. Conf. High Energy Physics, Tokyo, 1978, S. Homma, M. Kawaguchi and M. Miyazawa eds. Phys. Soc. of Japan, p. 933.
T. Eguchi and P.G.O. Freund, Phys. Rev. Lett. 37, 1251 (1976).
S. Hawking, Phys. Lett. 60A, 84 (1977).
S. Hawking and C.N. Pope, Phys. Lett. 73B, 42 (1978).
A. Back, P.G.O. Freund and M. Forger, Phys. Lett. 77B, 181 (1978).
M. Forger and M. Hess, Comm. Math. Phys. 64, 269 (1979).
S.P. Avis and C.J. Isham, preprint ICTP/78-79/21.
S. Hawking and M. Roček, private communication.
R. Geroch, J. Math. Phys. 9, 1739 (1968).
For compact Riemann 4-manifolds Spinc(4) = Spinc(4)XZ U(1) structures can always be defined, F. Hirzebruch and H. Hopf, Math. Ann 136, 156 (1958); for the case of P2(C) the relevant U(1) gauge field is that considered by A. Trautman, Int. J. Theor. Phys. 16, 561 (1977).
The obvious alternative is to limit the functional integration that defines the quantum theory to spin-manifolds. Here we explore mainly the consequences of not making this very restrictive assumption.
H. Georgi and S.L. Glashow, Phys. Rev. Lett. 32, 438 (1974).
E. Cremmer, B. Julia and J. Scherk, Phys. Lett. 76B, 409 (1978)
E. Cremmer and B. Julia, Phys. Lett. 80B, 48 (1978 and preprint LPTENS 79/6.
T. Curtright and P.G.O. Freund, preprint EFI 79/25 and unpublished.
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Freund, P.G.O. (1980). Spin structures and gauge theory. In: Osterwalder, K. (eds) Mathematical Problems in Theoretical Physics. Lecture Notes in Physics, vol 116. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-09964-6_342
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DOI: https://doi.org/10.1007/3-540-09964-6_342
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