Abstract
In the past people believed that if a field action is invariant under some transformations, then these transformations form a Lie group (infinite-dimensional in the case of gauge transformations). But this does not follow from anywhere. In fact the infinitesimal transformations of supergravity form at least apparently an open algebra. Therefore the wish arises to analyse the general situation. This is the purpose of the present work.
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References
I.A. Batalin. P.N. Lebedev Physical Inst., Preprint No. 157 (1979). J. Math. Phys. (in press).
I.A. Batalin and E.S. Fradkin. Nucl. Phys.B10074 (1975).
I.A. Batalin and G.A. Vilkovisky. Phys. Lett69B309 (1977). Phys. Lett.102B27 (1981).
F.A. Berezin and D.A. Leites. Docl. Acad. Nauk USSR,224505 (1975).
E.S. Fradkin. Acta Universitatis Wratislaviensis No. 207, Proc. Xth Winter School of Theoretical Physics in Karpacz, (1973).
E.S. Fradkin and T.E. Fradkina. Phys. Lett.72B343 (1978).
E.S. Fradkin and I.V. Tyutin. Phys. Rev.D2841 (1970).
E.S. Fradkin and M.A. Vasiliev. Vancouver University preprint (August 1977). Phys. Lett.72B70 (1977).
E.S. Fradkin and G.A. Vilkovisky. Phys. Lett.55B224 (1975).
R.E. Kallosh. Pisma JETP (USSR),26573 ( 1977
D.A. Leites. Usp. Mat. Nauk (USSR,353 (1980).
B. de Wit and J.W. van Holten. Phys. Lett.79B389 (1979).
J. Zinn-Justin. In “Trends in Elementary Particle Theory”, Lecture Notes in Physics, vol. 37, ed. by H. Rollnik and K. Dietz, Springer, Berlin (1975).
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© 1984 Plenum Press, New York
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Batalin, I.A., Vilkovisky, G.A. (1984). Gauge Algebra and Quantization. In: Markov, M.A., West, P.C. (eds) Quantum Gravity. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2701-1_28
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DOI: https://doi.org/10.1007/978-1-4613-2701-1_28
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