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Relation between strings and ribbon knots

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Abstract

A ribbon knot can be represented as the propagation of an open string in (Euclidean) space-time. By imposing physical conditions plus an ansatz on the string scattering amplitude, we get invariant polynomials of ribbon knots which correspond to Jones and Wadatiet al. polynomials for ordinary knots. Motivated by the string scattering vertices, we derive an algebra which is a generalization of Hecke and Murakami-Birman-Wenzel (BMW) algebras of knots.

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Authors and Affiliations

  1. Mathematics Department, Faculty of Science, U.A.E. University, P.O. Box 15551, Al-Ain, U.A.E.

    E. Ahmed & R. A. Abdellatif

  2. Mathematics Department, Faculty of Science, Mansoura University, Mansoura, Egypt

    E. Ahmed & E. A. El-Rifai

Authors
  1. E. Ahmed
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  2. E. A. El-Rifai
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  3. R. A. Abdellatif
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Ahmed, E., El-Rifai, E.A. & Abdellatif, R.A. Relation between strings and ribbon knots. Int J Theor Phys 30, 205–209 (1991). https://doi.org/10.1007/BF00670713

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  • DOI: https://doi.org/10.1007/BF00670713

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