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A class ofN dimensional models with extended structure solutions

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Zeitschrift für Physik C Particles and Fields

Abstract

We study some properties of a class ofn-dimensional models which have infinite dimensional groups of symmetry which include both the Euclidean and Minkowskian groups. We show that all classical solutions of these models are self-dual and can be related to mappings of then dimensional hyper-space into itself which locally preserve the volume.

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References

  1. R. Rajamaran: Solitons and instantons, Amsterdam: North-Holland 1982

    Google Scholar 

  2. R. Jackiw: Rev. Mod. Phys. 49 (1977) 681

    Google Scholar 

  3. T.H.R. Skyrme: Proc. Roy. Soc. A 260 (1961) 127

    Google Scholar 

  4. see e.g.: B. Piette, W.J. Zakrzewski: Lecture Notes in Physics 393, M. Remoissenet, M. Peyrard (eds.) Berlin, Heidelberg, New York: Springer 242 (1991)

    Google Scholar 

  5. see e.g.: P.G. Drazin, R.S. Johnson: Solitons:; An introduction, Cambridge: Cambridge University Press 1989

    Google Scholar 

  6. H.J.W. Mueller-Kirsten, D.H. Techrakian: J. Phys. A 23 (1990) L363; Phys. Rev. D44 (1991) 1204; D.H. Tchrakian: Phys. Lett. B244 (1990) 458; J. Phys. A24 (1991) 1959

    Google Scholar 

  7. E.B. Bogomoln'yi: Sov. J. Nucl. Phys. 24 (1976) 449; M.K. Prasad, C. Sommerfield: Phys. Rev. Lett. 35 (1975) 760

    Google Scholar 

  8. B. Piette, D.H. Tchrakian, W.J. Zakrzewski: 54 (1992) 497 Z. Phys. C—Particles and Fields

  9. H.J. Borchers, W.D. Garber: Commun. Math. Phys. 73 (1980) 77

    Google Scholar 

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Chakrabarti, A., Piette, B., Tchrakian, D. et al. A class ofN dimensional models with extended structure solutions. Z. Phys. C - Particles and Fields 56, 461–467 (1992). https://doi.org/10.1007/BF01565956

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  • DOI: https://doi.org/10.1007/BF01565956

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