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Fibre bundles and supergravity. (English) Zbl 0529.53055


MSC:

53C80 Applications of global differential geometry to the sciences
53D50 Geometric quantization
83E99 Unified, higher-dimensional and super field theories
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
81T08 Constructive quantum field theory

Citations:

Zbl 0447.53027
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Full Text: DOI

References:

[1] Yates, R.G.: Fibre bundles and supersymmetries. Commun. Math. Phys.76, 255-268 (1980) · Zbl 0447.53027
[2] Chamseddine, A.H., West, P.C.: Supergravity as a gauge theory of supersymmetry. Nucl. Phys. B129, 39-44 (1977)
[3] MacDowell, S.W., Mansouri, F.: Unified geometric theory of gravity and supergravity. Phys. Rev. Lett.38, 739-741 (1977)
[4] Fre, P.: Group manifold first-order formulation ofN=2,d=4 supergravity theory. Nucl. Phys. B179, 417-440 (1981)
[5] D’Auria, R., Fre, P., Regge, T.: Graded-Lie algebra cohomology and supergravity. Riv. Nuovo Cimento3, 12 (1980)
[6] Ferrara, S., van Nieuwenhuizen, P.: Consistent supergravity with complex spin ?3/2 gauge fields. Phys. Rev. Lett.37, 1669 (1976)
[7] Freedman, D.Z., Das, A.: Gauge internal symmetry in extended supergravity. Nucl. Phys. B120, 221 (1976)
[8] Kobayashi, S., Nomizu, K.: Foundations of differential geometry, Vols. I and II. New York, London: Interscience (1963) · Zbl 0119.37502
[9] Cho, Y.M.: Higher-dimensional unifications of gravitation and gauge theories. J. Math. Phys.16, 2029 (1975)
[10] Bleecker, D.: Gauge theory and variational principles. Reading, MA: Addison-Wesley, Series A 1981 · Zbl 0481.58002
[11] Townsend, P.K., van Nieuwenhuizen, P.: Geometrical interpretation of extended supergravity. Phys. Lett.67B, 439 (1977)
[12] Fradkin, E.S., Fradkina, T.E.: Quantization of relativistic systems with boson and fermion first- and second-class constraints. Phys. Lett.72B, 343 (1978)
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