Toda Soliton Mass Corrections and the Particle--Soliton Duality Conjecture

Abstract

We compute quantum corrections to soliton masses in affine Toda theories with imaginary exponentials based on the nonsimply-laced Lie algebras $c_n^{(1)}$. We find that the soliton mass ratios renormalize nontrivially, in the same manner as those of the fundamental particles of the theories with real exponentials based on the nonsimply-laced algebras $b_n^{(1)}$. This gives evidence that the conjectured relation between solitons in one Toda theory and fundamental particles in a dual Toda theory holds also at the quantum level. This duality can be seen as a toy model for S-duality.

LATEX, 17 pages, no figures Note added at end of discussion

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Cited by in corpus (9)

• Exact S-Matrices with Affine Quantum Group Symmetry
• Exact S-matrices for d_{n+1}^{(2)} affine Toda solitons and their bound states
• Non-unitarity in quantum affine Toda theory and perturbed conformal field theory
• Quantum mass corrections for affine Toda solitons
• A Moyal Quantization of the Continuous Toda Field
• Quantum Affine Symmetry and Scattering Amplitudes of the Imaginary Coupled d_4(3) Affine Toda Field Theory
• The R-matrix of the U_q(d_4(3)) algebra and g_2(1) affine Toda field theory
• Remarks on excited states of affine Toda solitons
• Quantum affine Toda solitons