Reality of Complex Affine Toda Solitons

Abstract

There are infinitely many topological solitons in any given complex affine Toda theories and most of them have complex energy density. When we require the energy density of the solitons to be real, we find that the reality condition is related to a simple ``pairing condition.'' Unfortunately, rather few soliton solutions in these theories survive the reality constraint, especially if one also demands positivity. The resulting implications for the physical applicability of these theories are briefly discussed.

LaTeX, 15 pages, UBTH-0494

References in corpus (9)

• Quantum Solitons in Affine Toda Field Theories
• Affine Toda Solitons and Vertex Operators
• Quantizing SL(N) Solitons and the Hecke Alegbra
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• Affine Toda Solitons and Automorphisms of Dynkin Diagrams
• Multi--Soliton Solutions of Affine Toda Models
• Crossing and Antisolitons in Affine Toda Theories
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• On the Topological Charges of Affine Toda Solitons

Cited by in corpus (1)

• Generalized sine-Gordon/massive Thirring models and soliton/particle correspondences