Splitting strings on integrable backgrounds

Vicedo, B. (2011) Splitting strings on integrable backgrounds. ISSN 1126-6708
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Using integrability we reduce the problem of constructing general classical splitting string solutions on R×S3 to a series of Birkhoff factorization problems. Namely, given any incoming string solution satisfying a necessary self-intersection property at some given instant in time, we use the integrability of the worldsheet σ-model to implicitly construct the pair of outgoing strings resulting from a split. The solution for each outgoing string is expressed recursively through a sequence of dressing transformations with parameters determined by the solutions to Birkhoff factorization problems in an appropriate real form of the loop group of SL2(C).

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