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A few remarks on chiral theories with sophisticated topology

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Abstract

We point out two classes of chiral field theories with sophisticated topological and rich analytical structures. We study these theories with the help of topological invariants.

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References

  1. 't HooftG., Nucl. Phys. B79, 276 (1974).

    Google Scholar 

  2. PolyakovA.M., Pisma ν ZhETF 20, 430 (1974).

    Google Scholar 

  3. BelavinA.A., PolyakovA.M., SchwartzA.S., and TyupkinYu.S., Phys. Lett. B59, 85 (1975).

    Google Scholar 

  4. WittenE., Phys. Rev. Lett. 38, 121 (1977).

    Google Scholar 

  5. Belavin, A.A., and Zakharov, V.E., ‘Yang-Mills equations as inverse scattering problem’, Preprint, Chernogolovka (1977).

  6. AtiyahM.F. and WardR.S., Comm. Math. Phys. 55, 117 (1977).

    Google Scholar 

  7. Drinfield, V.G. and Manin, Yu. I., ‘Autodual Yang-Mills fields over sphere’, Moscow State University Preprint, 1977.

  8. BelavinA.A. and PolyakovA.M., Pisma ν ZhETF 22, 503 (1975).

    Google Scholar 

  9. PohlmeyerK., Comm. Math. Phys. 46, 207 (1976).

    Google Scholar 

  10. LundF. and ReggeT., Phys. Rev. D14, 1524 (1976).

    Google Scholar 

  11. LundF., Phys. Rev. D15, 1540 (1977).

    Google Scholar 

  12. Faddeev, L.D. and Semenov-Tyan'-Shansky, M.A., Vestnik LGU No. 13, 81 (1977).

  13. ZakharovV.E. and MikhailovA.V., Pisma ν ZhETF 27, 47 (1978).

    Google Scholar 

  14. Monastyrsky, M.I. and Perelomov, A.M., Preprint ITEP No. 56 (1974); Pisma ν ZhETF 21, 94 (1975).

  15. TyupkinYu.S., FateevV., and SchwartzA.S., Pisma ν ZhETF 21, 91 (1975).

    Google Scholar 

  16. ArafuneJ., FreundP.G.O., and GoebelC.J., Journ. Math. Phys. 16, 435 (1975).

    Google Scholar 

  17. FaddeevL.D., in ‘Nonlocal, Nonlinear and Nonrenormalizable Field Theories’, JINR, D2 9788, 207 (1976).

    Google Scholar 

  18. Nielsen, N.K., Römer, H., and Schroer, B., ‘Anomalous currents in curved space’, Preprint CERN (1977).

  19. Isham, C.J., ‘Topological currents for arbitrary chiral groups in three space dimensions’, Preprint ICTP-7 (1977).

  20. Husemoller, D., ‘Fibre Bundles’, McGraw-Hill Book Co., 1966.

  21. Kirillov, A.A., ‘Elementi teorii predstavlenii’, Nauka, 1972.

  22. SkyrmeT.H., Proc. Roy. Soc. A260, 127 (1961).

    Google Scholar 

  23. HelgasonS., ‘Differential Geometry and Symmetric Spaces’, Academic Press, N.Y., 1962.

    Google Scholar 

  24. BishopR.L., and CrittendenR.J., ‘Geometry of Manifolds’, Academic Press, New York and London, 1964.

    Google Scholar 

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Golo, V.L., Perelomov, A.M. A few remarks on chiral theories with sophisticated topology. Lett Math Phys 2, 477–482 (1978). https://doi.org/10.1007/BF00398500

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