The affine A_n-1⁽¹⁾ Toda fields with boundary reflection

2000/12/31 by Takeo Kojima, Kojima, Takeo · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th #nlin.SI

paper · pdf · doi:10.48550/arxiv.nlin/0101001

LaTEX2e, 31pages

openalex publication_date 2000/12/31 · arxiv created 2001/09/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the affine A_n-1⁽¹⁾ Toda fields with boundary reflection. Our approach is based on the free field approach. We construct free field realizations of the boundary state and its dual. For an application of these realizations, we present integral representations for the form factors of the local operators. In a limiting case ρ→ ∞, our integral representations reproduce those of form factors for the SU(n) invariant massive Thirring model with boundary reflection [nlin.SI/0010020,Int.J.Mod.Phys.A16,no.15 (2001)2665-2689].

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• Boundary form factors in the Smirnov--Fateev model with a diagonal boundary S matrix

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