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Poincaré Supergravities in Higher Dimensions

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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

  1. 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)

    Google Scholar 

  2. I.C.G. Campbell, P.C. West, \({\cal N}=2\), \(D=10\) nonchiral supergravity and its spontaneous compactification. Nucl. Phys. B243, 112 (1984)

    Article  MathSciNet  Google Scholar 

  3. A.H. Chamseddine, \({\cal N=4}\) supergravity coupled to \({\cal N=4}\) matter. Nucl. Phys. B185, 403 (1981)

    Google Scholar 

  4. G.F. Chapline, N.S. Manton, Unification of Yang-Mills theory and supergravity in ten-dimensions. Phys. Lett. B120, 105 (1983)

    Article  MathSciNet  Google Scholar 

  5. E. Cremmer, B. Julia, J. Scherk, Supergravity theory in 11 dimensions. Phys. Lett. B76, 409 (1978)

    Article  Google Scholar 

  6. F. Giani, M. Pernici, \({\cal N}=2\) supergravity in ten-dimensions. Phys. Rev. D30, 325 (1984)

    Google Scholar 

  7. M.B. Green, J.H. Schwarz, Anomaly cancellation in supersymmetric \(D=10\) gauge theory and superstring theory. Phys. Lett. B149, 117 (1984)

    Article  MathSciNet  Google Scholar 

  8. P.S. Howe, P.C. West, The complete \({\cal N}=2\), \(D=10\) supergravity. Nucl. Phys. B238, 181 (1984)

    Google Scholar 

  9. C.M. Hull, P.K. Townsend, Unity of superstring dualities. Nucl. Phys. B438, 109 (1995). [hep-th/9101]

    Google Scholar 

  10. M. Huq, M.A. Namazie, Kaluza–Klein supergravity in ten-dimensions. Class. Quant. Grav. 2, 293 (1985). [Erratum-ibid. 2 (1985) 597]

    Google Scholar 

  11. J. Polchinski, E. Witten, Evidence for heterotic–type I string duality. Nucl. Phys. B460, 525 (1996). [hep-th/9510169]

    Google Scholar 

  12. A. Salam, E. Sezgin, Supergravities in Diverse Dimensions (World Scientific, North-Holland, 1989)

    Book  Google Scholar 

  13. J.H. Schwarz, Covariant field equations of chiral \({\cal N}=2\) \(D=10\) supergravity. Nucl. Phys. B226, 269 (1983)

    Google Scholar 

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Correspondence to Yoshiaki Tanii .

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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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