Abstract
We obtain explicit expressions for infinitesimal regular Riemann-Hilbert (RH) transforms. Using them, the group theoretical aspects of infinitesimal RH transforms are discussed with an eye to the comparison with the hidden symmetry transformations proposed by us before. We find that the RH transforms have very rich group structure; e.g. in the 2-d principal chiral models, their group contains two Kac-Moody algebras as subalgebras. But not all of them are nontrivial hidden symmetries of the theory.
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Communicated by R. Stora
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Wu, YS. The group theoretical aspects of infinitesimal Riemann-Hilbert transform and hidden symmetry. Commun.Math. Phys. 90, 461–472 (1983). https://doi.org/10.1007/BF01216178
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DOI: https://doi.org/10.1007/BF01216178