Abstract
We discuss Poincaré supergravities in higher dimensions. We first explain the general structure of these theories. Then, we discuss \({\fancyscript{N}}=1\) supergravity in eleven dimensions and \({\fancyscript{N}}=(1,1), (2,0), (1,0)\) supergravities in ten dimensions in details. These supergravities are low energy effective theories of M theory and superstring theory. We discuss their Lagrangians (or field equations) and local as well as global symmetries.
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References
E. Bergshoeff, M. de Roo, B. de Wit, P. van Nieuwenhuizen, Ten-dimensional Maxwell–Einstein supergravity, its currents, and the issue of its auxiliary fields. Nucl. Phys. B195, 97 (1982)
I.C.G. Campbell, P.C. West, \({\cal N}=2\), \(D=10\) nonchiral supergravity and its spontaneous compactification. Nucl. Phys. B243, 112 (1984)
A.H. Chamseddine, \({\cal N=4}\) supergravity coupled to \({\cal N=4}\) matter. Nucl. Phys. B185, 403 (1981)
G.F. Chapline, N.S. Manton, Unification of Yang-Mills theory and supergravity in ten-dimensions. Phys. Lett. B120, 105 (1983)
E. Cremmer, B. Julia, J. Scherk, Supergravity theory in 11 dimensions. Phys. Lett. B76, 409 (1978)
F. Giani, M. Pernici, \({\cal N}=2\) supergravity in ten-dimensions. Phys. Rev. D30, 325 (1984)
M.B. Green, J.H. Schwarz, Anomaly cancellation in supersymmetric \(D=10\) gauge theory and superstring theory. Phys. Lett. B149, 117 (1984)
P.S. Howe, P.C. West, The complete \({\cal N}=2\), \(D=10\) supergravity. Nucl. Phys. B238, 181 (1984)
C.M. Hull, P.K. Townsend, Unity of superstring dualities. Nucl. Phys. B438, 109 (1995). [hep-th/9101]
M. Huq, M.A. Namazie, Kaluza–Klein supergravity in ten-dimensions. Class. Quant. Grav. 2, 293 (1985). [Erratum-ibid. 2 (1985) 597]
J. Polchinski, E. Witten, Evidence for heterotic–type I string duality. Nucl. Phys. B460, 525 (1996). [hep-th/9510169]
A. Salam, E. Sezgin, Supergravities in Diverse Dimensions (World Scientific, North-Holland, 1989)
J.H. Schwarz, Covariant field equations of chiral \({\cal N}=2\) \(D=10\) supergravity. Nucl. Phys. B226, 269 (1983)
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Tanii, Y. (2014). Poincaré Supergravities in Higher Dimensions. In: Introduction to Supergravity. SpringerBriefs in Mathematical Physics, vol 1. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54828-7_5
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DOI: https://doi.org/10.1007/978-4-431-54828-7_5
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