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

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

1994-11-23

arxiv.org/abs/hep-th/9411176v2

Nucl.Phys. B441 (1995) 259-276

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/0550-3213(95)00092-7

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.

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