Polynomial Recursion Equations in Form Factors of ADE-Toda Field Theories |
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Authors: | Mathias Pillin |
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Institution: | (1) Department of Mathematics, King's College, Strand, London, WC2R 2LS, U.K. |
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Abstract: | It is shown that the problem of calculating form factors in ADE affine Toda field theories can be reduced to the nonperturbative recursive calculation of polynomials symmetric in each sort of variables. We determine these recursion equations explicitly for the ADE series and characterize the polynomial solutions by an interplay between the weight space of the underlying Lie algebra and representations of the symmetric group. |
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Keywords: | form factors symmetric group symmetric polynomials |
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