Crossing and Antisolitons in Affine Toda Theories

Details Crossing and Antisolitons in Affine Toda Theories Crossing and Antisolitons in Affine Toda Theories

1993-05-27

arxiv.org/abs/hep-th/9305154v2

Nucl.Phys. B408 (1993) 565-578

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, PLAIN TEX (changed macro!!), SWAT/92-93/6

Scientific paper

10.1016/0550-3213(93)90380-8

Affine Toda theory is a relativistic integrable theory in two dimensions possessing solutions describing a number of different species of solitons when the coupling is chosen to be imaginary. These nevertheless carry real energy and momentum. To each species of soliton there has to correspond an antisoliton species. There are two different ways of realising the antisoliton whose equivalence is shown to follow from a surprising identity satisfied within the underlying affine Kac-Moody group. This is the classical analogue of the crossing property of analytic S-matrix theory. Since a complex parameter related to the coordinate of the soliton is inverted, this identity implies a sort of modular transformation property of the soliton solution. The results simplify calculations of explicit soliton solutions.

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