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Local versus non-local charges in integrable field theories

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Czechoslovak Journal of Physics Aims and scope

Abstract

We contrast the two types of charge, local and non-local, which appear in integrable (1+1)-dimensional integrable quantum field theories based on Lie algebras. This is the wider setting for the new work which we describe, on local conserved quantities in principal chiral models.

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References

  1. E. Corrigan: Recent developments in affine Toda quantum field theory, Lectures given at CRM-CAP Summer School on Particles and Fields '94, Banff, Canada, 16–24 Aug. 1994, preprint DTP-94/55, hep-th/9412213. G. M. Gandenberger: Exact S-matrices for quantum affine Toda solitons and their bound states, Ph.D. thesis, Cambridge University (1996), available at http://www.damtp.cam.ac.uk/user/hep/publications.html. N. MacKay: Quantum affine Toda solitons, Rev. Math. Phys. (in press); hep-th/9711148, and references therein.

  2. P. E. Dorey: Nucl. Phys. B 358 (1991) 654.

    Google Scholar 

  3. V. Chari and A. Pressley: Comm. Math. Phys. 181 (1996) 265; hep-th/9505085.

    Google Scholar 

  4. J. Evans, N. MacKay, and M. Hassan: Local conserved charges in principal chiral models, hep-th/9711140.

  5. L. D. Faddeev and N. Yu. Reshetikhin: Ann. Phys. (NY) 167 (1986) 227.

    Google Scholar 

  6. I. Cherednik: Theor. Math. Phys. 38 (1979) 120; 41 (1979) 997. A. T. Ogielski, M. K. Prasad, A. Sinha, and L.-L. Chau: Phys. Lett. B 91 (1980) 387.

    Google Scholar 

  7. E. Frenkel and N. Reshetikhin: Deformations of W-algebras associated to simple Lie algebras, math.QA/9708006, and references therein.

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Authors and Affiliations

  1. Dept. of Applied Maths and Theoretical Physics, University of Cambridge, Silver St, Cambridge, CB3 9EW, UK

    N. J. MacKay

  2. School of Mathematics, University of Sheffield, Sheffield, S3 7RH, UK

    N. J. MacKay

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  1. N. J. MacKay
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MacKay, N.J. Local versus non-local charges in integrable field theories. Czechoslovak Journal of Physics 48, 1441–1446 (1998). https://doi.org/10.1023/A:1021621709683

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  • DOI: https://doi.org/10.1023/A:1021621709683

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